Answer:
[tex] \sf \large \: x=−1[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+3)−2=6
Step 1: Simplify both sides of the equation.
4(x+3)−2=6
(4)(x)+(4)(3)+−2=6(Distribute)
4x+12+−2=6
(4x)+(12+−2)=6(Combine Like Terms)
4x+10=6
4x+10=6
Step 2: Subtract 10 from both sides.
4x+10−10=6−10
4x=−4
Step 3: Divide both sides by 4.
4x/4 = −4/4
x=−1
Name a pair of adjacent complementary angles.
4. Name a pair of adjacent supplementary angles.
5. Name a pair of nonadjacent complementary angles.
6. Name a pair of nonadjacent supplementary angles.
3. A pair of adjacent complementary angles is: ∠LJM and ∠NJM.
4. A pair of adjacent supplementary angles is: ∠KJL and ∠NJL
5. A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP
6. A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM
What are Complementary and Supplementary Angles?Supplementary angles have a sum that is equal to 180 degrees, while complementary angles equal 90 degrees.
What are Adjacent Angles?Angles that share the same side and vertex are adjacent angles.
3. m∠LJM + m∠NJM = 56 + 34 = 90°
A pair of adjacent complementary angles is: ∠LJM and ∠NJM.
4. m∠KJL + m∠NJL = 90 + (56 + 34) = 180°
A pair of adjacent supplementary angles is: ∠KJL and ∠NJL
5. m∠EGF + m∠NJP = 41 + 49 = 90°
A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP
6. m∠FGH + m∠LJM = 124 + 56 = 180°
A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM
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(50 Points!!!)
Gwen is finding the area of the shaded sector in the given circle, which has a circumference of 6 units.
Identify the step where Gwen first made an error.
A. Step 5
B. Step 6
C. Step 3
D. Step 7
The step in which Gwen made an error for the area of the shaded region in the circle is given by:
A. Step 5.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by:
C = 2π r.
For this problem, the circumference is of 6π units, hence the radius is given as follows:
6π = 2π r.
r = 6/2.
r = 3 units.
What is the area of a circle?The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:
A = πr².
The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:
A = (72/360) πr².
Which is where Gwen made an error, at Step 5, hence option A is correct.
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Eve and her mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Eve puts 5 water bottles into each kit they pack. In all, she packs 125 water bottles.
Which equation can you use to find the number of emergency kits k Eve packs?
Answer:
Step-by-step explanation:
no. of emergency kits = x
bottles per kit = 5
total no. of bottles = 5x
which means,
5x = 125
125/5 = x
x = 25
Nilai dari sin 135, bantuin kakk pliss
Answer:
[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]
Step-by-step explanation:
[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]
if there are 15 cubs and 4 lionesses, what is the ratio of cubs to lionesses?
Answer:
15 : 4
Step-by-step explanation:
Given that,
→ 4 lionesses
→ 15 cubs
Then the ratio of cubs to lionesses,
→ x = No. of cubs : No. of lionesses
→ [ x = 15 : 4 ]
Hence, the ratio is 15 : 4.
15. If the endpoints of a diameter of a circle are (2, -1) and (4, 0), what is the y
coordinate of the center of the circle?
Y = -0.5
The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry
Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)
x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2
Since radius is half of the diameter, we need to find the findthe midpoint of the diameter
Using midpoint formula,
y = (y₁ + y₂)/2
= (0 + (-1))/2
= -0.5
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A car and an emergency are heading toward each other. The car is traveling at a speed of 30
mph or 44 feet per second. The emergency vehicle is traveling at a speed of 50 mph or about
74 feet per second. If the vehicles are 1000 feet apart and the conditions are ideal, in how
many seconds will the drive of the car first hear the siren?
If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.
Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.
We are required to find the seconds after which the driver of the car first hear the siren.
Speed is basically the distance that a vehicle covers in a particular period of time.
Speed=Distance/Time
Time=Distance/Speed
Total speed in feet per second=44+74=118 feet per second
Time=1000/118
=8.48 seconds
Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.
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mathhhhhhhhhhhhhh._ help plsssssss
Answer:
[tex](-4,-\frac{1}{2})[/tex]
Step-by-step explanation:
The midpoint of a line segment can be found using the midpoint formula below:
[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]
Note that [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate of the end points.
Let's identify the coordinates of the two end points, A and B.
On both axes, a square represents 1 unit.
A(-5, -4) and B(-3, 3)
Applying the midpoint formula,
midpoint
= [tex](\frac{-5-3}{2} ,\frac{-4+3}{2} )[/tex]
= [tex](\frac{-8}{2},\frac{-1}{2} )[/tex]
= [tex]\bf{(-4,-\frac{1}{2}) }[/tex]
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The function f is defined by the following rule
f(x)=2x-1
Complete the function table
The table can be filled as,
-7
-5
-1
1
9
Write a function rule for the table
The function rule for the table is y = 25/4 x
Equation of a linear functionThe standard expression for a linear function is expressed as y =mx + b
where
m is the slope
b is the y-intercept
Using the coordinate points (4, 25.00) and (8, 50.0)
Determine the slope
Slope = 50-25/8-4
Slope = 25/4
Determine the y-intercept
50 = 25/4(8) + b
50 = 25(2) + b
50 = 50 + b
b = 0
Hence the function rule for the table is y = 25/4 x
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11 = −5+y
Solve for Y
Answer:
y=16
Step-by-step explanation:
11 = −5+y
Solve for Y
Add 5 to each side
11+5 = -5+y+5
16 = y
y=16
*PLS HELP*
A student is given the rectangle and the square shown. The student states that the two figures have the
same perimeter. Is the student correct? Complete the explanation to explain your reasoning.
X+4
X
X+2
X+2
The student is (select) The perimeter of a figure is found by (select)
For the rectangle, the perimeter is
. For the square, the perimeter
is
the lengths of its sides.
Answer:
The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8
Step-by-step explanation:
Perimeter for rectangle:
2(x+4) + 2x
2x + 8 + 2x
4x + 8
Perimeter for the square:
4(x+2)
4x + 8
Givin that m < QST = 135 solve for x and find each angle
By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
How to find the measures of the angles?
We know that the angle at vertex S measures 135°, then we can write the linear equation:
(3x + 1)° + (2x - 6)° = 135°
First, we need to solve this for x.
3x + 1 + 2x - 6 = 135
5x - 5 = 135
5x = 135 + 5 = 140
x = 140/5 = 28
Now that we know the value of x, we can find the two measures, which are:
QSR = (3x +1) = (3*28 + 1)° = 85°
RST = (2x - 6)° = (2*28 - 6)° = 50°
The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
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the equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form y
The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the equation:
The available points are (3,5) and (9,10).
The line's slope is given by:
[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]
The equation is as follows:
[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]
Solve it to obtain the equation:
[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]
Therefore, the equation is 5x - 12y = -75.
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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.
On a map with a scale 1 : 100,000, the distance between two cities is 12 cm. What would be the distance between these two cities on a different map with a scale 1 : 300,00?
Answer:
36 cm
Step-by-step explanation:
write 196 as a product of primes.
use index notation when giving your answer
Answer:
The prime factorization of 196 is 196 = 2 × 2 × 7 × 7 and can be represented as 196 = 2 2 × 7 2 using exponents.
Answer:
2² × 7² = 196
Step-by-step explanation:
Jack takes 10 minutes to ride his stakeboard down the hill to his friend's house and 20 minutes to ride up the hill from his friend's house. he goes to his friend's house monday through friday. how many minutes does he spend riding his stakeboard to and from his friend's house in two weeks? write an equation to model your work.
Jack spends 300 minutes in two weeks riding his skateboard to and from his friend's house Monday through Friday.
Time taken by Jack to ride his skateboard down the hill to his friend's house = 10 minutes
Time taken by Jack to ride his skateboard up the hill to his friend's house = 20 minutes
Total time combined = 30 minutes
Total days in a week Monday through Friday= 5 days
Total days in 2 weeks = 10 days
Therefore, time spent by jack riding his skateboard up and down the hill to his friend's house in two weeks Monday through Friday = 10*30 = 300 minutes
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Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.
Compare the scale drawing of a window frame that uses a scale of 1 cm to 12 inches.
the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
We have that:
Scale of the first drawing is 1 cm to 6 inches.
It can be written in ratio as:
1 : 6
Now the scale of the other drawing of a window is
1 cm to 12 inches.
which can also be written in ratio as:
1 : 12
By comparing both the ratios, we can see that the first drawing is twice in size as the second drawing as it only includes 6 inches in 1 cm.
That mens the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
Therefore, we get that, the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
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There is enough information to prove that triangles tno and gcm are congruent. true false
False, there is not enough information provided to Prove that both the triangles are congruent.
What is the congruent triangle?
Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.
Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.
Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.
These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.
If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.
When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.
The given data doesn't satisfy any of the conditions.
Hence, there is not enough information provided to Prove that the two triangles are congruent.
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Answer:
tru but u gotta put a picture next time man
Step-by-step explanation:
In the year 2000, a company made $2.2 million in profit. for each consecutive year
after that, their profit increased by 13%. how much would the company's profit be in
the year 2003, to the nearest tenth of a million dollars?
The company's profit in the year 2003 is $3.1 million
Profit is defined as the amount of revenue generated after deduction of all the liabilities.
Given that in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
[tex]profit=initial profit(1+each.year.increase)^{years}[/tex]
Substituting the values we get
profit=[tex]2.2(1+0.13)^3[/tex]
=[tex]2.2(1.13)^3=2.2*1.442897[/tex]
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
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2/3y - 2/5 = 15 it’s algebra
Answer:
y=231/10
Step-by-step explanation:
First you want to add 2/5 to 15.
Now you will have 2/3y=77/5
Now you want to mulitply both sides 3/2
3/2*2y/3=3/2*77/5
Then you will get y=231/10.
if f(x) = mx +c, f(4) = 11 and f(5) = 13, find the value of f(2).
Answer:
7
Step-by-step explanation:
[tex]f(4)=4m+c=11 \\ \\ f(5)=5m+c=13[/tex]
Subtracting the equations yields that m=2, and thus c=3.
[tex]\implies f(2)=2(2)+3=7[/tex]
can someone help me with these
Answer:
for the triangle question the ans is 2
for the equation question where u have to find the mistake the student made, its the last option
16^((3)/(8))* 16^((1)/(8))
pls helpp que 3d and 3g
Answer:
Step-by-step explanation:
d)
[tex]\displaystyle\\\frac{h}{2h+5} +\frac{5}{6} =\\\\\frac{h*6+5*(2h+5)}{(2h+5)*6} =\\\\\frac{6h+2h(5)+5(5)}{2h(6)+5(6)} \\\\\frac{6h+10y+25}{12h+30} =\\\\\frac{16h+25}{12h+30}[/tex]
g)
[tex]\displaystyle\\\frac{3n}{(2n-1)^2} -\frac{5}{2n-1} =\\\\\frac{3n*1 -5*(2n-1)^}{(2n-1)^2}=\\\\\frac{3n(1)-2n(5)-1(-5)}{(2n-1)^2}=\\\\\frac{3n-10n+5}{(2n-1)^2} =\\\\\frac{-7n+5}{(2n-1)^2}[/tex]
Select all the data sets with a range greater than 10. (2 points)
4 5 6 7 13
1 5 7 8 14
10 11 14 17 18
5 7 9 21 23
11 11 11 11 11
The data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
What is the Range of a Data Set?The range of any given data set is the difference between the largest and the lowest data point in the data set.
Range for 4 5 6 7 13:
Range = 13 - 4 = 9
Range for 1 5 7 8 14:
Range = 14 - 1 = 13
Range for 10 11 14 17 18:
Range = 18 - 10 = 8
Range for 5 7 9 21 23:
Range = 23 - 5 = 18
11 11 11 11 11 has no range.
Therefore, the data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
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Which polynomial does not have an absolute maximum?
A. 2nd degree
B. 3rd degree
C. 4th degree
Reason:
Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.
Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.
Example: y = x^3 does not have an absolute max, but y = -x^2 does.
Please Help!
Find the dimensions of an American football field. The length is 200ft. more than the width, and the perimeter is 1,040ft. Find the length and width. Use the perimeter formula P=2L+2W
The width and length of the field are 160ft and 200ft respectively
When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly
Let the width of the football field be 'x' ft.
then according to given data,
length= 200 ft more than width= (x+200)ft
According to given,
Perimeter of the given field =2L+2W=1040
where L is length and W is the width
Now putting the values of length and width earlier derived, we get:
2(x)+2(x+200) =1040
2x+2x+400=1040
4x+400=1040
4x=1040-400
4x=640
x=160ft
Now, the width of the field= x=160ft
length of the field= x+200=160+200=360ft
Hence the length and the width of the field are 160ft and 360ft
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What does heuristic mean?
1) a randomly generated number
2) a function in excel
3) rule of thumb
4) an equation
Answer:
3.) rule of thumb
Step-by-step explanation:
Find an equation of the sphere that passes through point (1,8,1) and has center (3,5,-1)
The sphere's equation that passes through the given point is:
(x - 3)² + (y - 8)² + (z - 1)² = 30What is the standard equation of a sphere?A sphere's standard equation is defined by its center and radius. Remember that the radius is the distance between any two points on the sphere. The standard formula is: [tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2[/tex]To find the equation of the sphere:
The radius of a sphere is equally distant between any two points on the sphere. The sphere's center is: (3, 8, 1)So,
P = (4, 3,−1)C = (3, 8, 1)r = d(C, p)Now,
[tex]\begin{aligned}&=\sqrt{\left(x_c-x_p\right)^2+\left(y_c-y_p\right)^2+\left(z_c-z_p\right)^2} \\&=\sqrt{(3-4)^2+(8-3)^2+(1-(-1))^2} \\&=\sqrt{(-1)^2+(5)^2+(2)^2} \\&=\sqrt{1+25+4} \\\therefore r &=\sqrt{30}\end{aligned}[/tex]
Supplement the center point and radius into the standard sphere equation:
[tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2\\(x-3)^2+(y-8)^2+(z-1)^2=(\sqrt{30})^2\\(x-3)^2+(y-8)^2+(z-1)^2=30[/tex]
Therefore, the sphere's equation that passes through the given point is:
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The correct question is given below;
Find an equation of the sphere that passes through the point (4, 3,−1) and has to center (3, 8, 1).