The equation of the line passing through given points (-3, -10) and perpendicular to other is y + 2x + 7 = 0.
When the equation of line in point-slope form?A line's equation in point slope form is (y - y₁) = m. (x – x₁). As a result, the equation of a line with slope m passing through the origin is: y - 0 = m(x = 0), i.e. y = mx.where m is the line's slope and (x₁, y₁) are the coordinates of a provided point on the line .The equation of the perpendicular line is given as;
x − 2y = 6
Write the equation in standard form;
y = x/2 - 3
Where, slope of the line m₁ is (1/2) and y -intercept is (-3).
The other line passing perpendicular on this line has a slope: m₂.
The relation between slopes of perpendicular lines are-
m₁ × m₂ = -1
m₂ = -1/m₁
m₂ = -1/(1/2)
m₂ = -2
Now, the coordinates of the line are: (-3, -1)
The equation of the line will be;
(y - y₁) = m₂ (x – x₁)
Put the values;
(y - (-1)) = -2(x - (-3))
y + 1 = -2x - 6
y + 2x + 7 = 0
Thus, the equation of line is y + 2x + 7 = 0.
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On a number line, suppose point E has a coordinate of -4 , and EG = 13. What are the possible coordinates of point G?
Answer:
9 or -17
Step-by-step explanation:
Hello!
The distance can be positive or negative, as we are just counting the number of units they are apart.
To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.
Find G-4 + 13 = G1The possible coordinates of G are 9 or -17.
For a party, Ashley wants to make 12 hamburgers. If she has 2.964
pounds of meat, how much would each patty weigh? _________ pounds
Answer:
247
Step-by-step explanation:
divides 2964 entre 12 y obtienes 247
Layla has $680 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $319.28.
She buys 3 bicycle reflectors for $4.90 each and a pair of bike gloves for $37.94.
She plans to spend some or all of the money she has left to buy new biking outfits for $77.02 each.
Use the drop-down menu below to write an inequality representing oo, the number of outfits she can buy while staying within her budget.
Layla should by not more than 4 outfits in order not to exceed her budget
The inequality expression is n ≤ 4
Given data
price of a new bicycles = $319.28
3 bicycle reflectors = $4.90
a pair of bike gloves = $37.94.
new biking outfits = $77.02 each
Layla's total money to spend at a bicycle store = $680
How to write the required inequality equationLayla's expenses will not be more than her total amount to spend at the bicycle store therefore will use less than or equal to sign, before the sum of the other items
The expression is written as follows
$680 ≤ $319.28 + 3 * $4.90 + $37.94 + n * $77.02
where n represents the number of the new biking outfits
$680 - ( $319.28 + 3 * $4.90 + $37.94 ) ≤. + n * $77.02
( $680 - ( $319.28 + 3 * $4.90 + $37.94 ) ) / $77.02 ≥ n
( $680 - $371.64 ) / $77.02 ≥ n
( $308.36) / $77.02 ≥ n
4 ≥ n
Layla should by not more than 4 outfits in order not to exceed her budget
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Which expression is equivalent to , if y ≠ 0?
A.
B.
C.
D.
Answer:
is there more??? i don't have a enough info
Step-by-step explanation:
Rewrite (10 + 6) + 5+ 3 using the Associative Law of Addition,
O 10+6+5+3
O 10+(6+5) + 3
O 3+5+ (10+6)
O (10+6) + 3+5
Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).
How to compute the value?It should be noted that the Associative Law of Addition explains that a + (b + c) is the same as (a + b) + c.
Therefore, Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).
It should be noted that this will still give same value.
Therefore, the correct option is B.
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Cesar is reading a 450 page book. He reads the first 90 pages in 3 days
continues to read at the same rate, how long will it take him to finish t
Solve on scrap paper first if you need to.
It will take Cesar
days to finish the book.
By which angle measures can the regular pentagon be rotated so it maps onto itself? Select each correct answer. 72° 72° 90° 90° 135° 135° 144° 144° 216° 216° 300°
The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.
What is a regular polygon?A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.
It is given that:
The pentagon has five sides.
As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.
The angles are 72°.144°,216°, and 288°.
Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.
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Write the following equation in slope-intercept form. State the slope and y-intercept.
-18x-9y= 7
The slope and y-intercept of the line is 2 and -7/9 respectively
slope intercept form of an equationThe formula for calculating the slope intercept form of an equation is expressed as:
y = mx + b
where
m is the slope
b is the y-intercept
Given the equation -18x-9y = 7
Write in slope intercept form
-9y = 18x + 7
y = -18/9 x - 7/9
Compare
m = -2
b = -7/9
Hence the slope and y-intercept of the line is 2 and -7/9 respectively
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What’s the length of AZ. If A is between Y and Z, Y A = 22, AZ = 16x, and Y Z = 166
A) 9
B) 22
C) 144
D)188
Answer:
c) 144
Step-by-step explanation:
Since A is between Y and Z,
[tex]YZ = YA + AZ[/tex]
[tex]116 = 22 + 16x\\16x = 116 - 22\\16x = 144\\x = 9[/tex]
however, the question asks for [tex]the length of AZ[/tex], not the value of x.
Thus,
[tex]AZ = 16x[/tex]
[tex]AZ = 16\\[/tex] × [tex]9[/tex]
[tex]AZ = 144[/tex]
The Lopez family buys 4 dinners at the market. The total cost is $5 above or below $50. Write an equation that models the cost x, in dollars of a single dinner?
answer: |_-_x|-_=0
==================================================
Explanation:
x = cost of one dinner
4x = cost of four dinners
50-4x = the difference in the cost of $50 vs 4x dollars
To ensure this difference is never negative, we use absolute value to form the expression |50-4x|
Set this equal to 5 since we want this distance or difference to be 5 units above or below 50
|50-4x| = 5
|50 - 4x| - 5 = 0
Answer:
l 50 - 4x l - 5 = 0
Step-by-step explanation:
Which of the following is a whole number? Select all correct answers.
Select all that apply:
15
0
439
−9
−10
5
Answer:
15, 0, 439, 5
Step-by-step explanation:
-9 and -10 are negative integers. Whole numbers can't be negative.
Answer:
15,0,439,5 are whole numbers. eg: when we count the number of students we use 1,2,3 etc we won't use any decimal or fractions or negative values. like that whole numbers are like the numbers we count number of students
Solve for x.
4x-7=3x+21
Answer: x=28
Step-by-step explanation:
4x-7=3x+21
4x-3x-7=3x-3x+21
x-7=21
x=28
jack graphs how far he plans ton bike over a 3-day charity ride find the slope of the line
The slope of the line for 3-day charity ride is 30.
What is referred as the slope of the straight line?The slope of a straight line indicates the steepness of its inclination. It is also known as the gradient.
The greater the slope of a line, the steeper it is.The slope of a line remains constant throughout its length, ensuring that the line is straight.A line can be thought of as the hypotenuse of such a right-angled triangle.A slope measurement is calculated by comparing its vertical and horizontal components.The formula for the slope is;
slope = m = Δy/Δx
m = (y₂ - y₁)/(x₂ - x₁)
The given coordinators of the points (taken from Jack's graph are);
(x₁, y₁) = (2, 60)
(x₂, y₂) = (3, 90)
Put the values in the formula;
m = (90 - 60)/(3 - 2)
m = 30
Therefore, the slope of the straight line for the 3-day charity ride is 30.
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arrange the following in ascending order 1/3 , 3/4 , 5/12 ,2/8
The ascending order is: 2/8 < 1/3 < 5/12 < 3/4.
What is termed as the ascending order?The configuration of numbers or even other items in order of increasing from smallest to largest is referred to as ascending order. Ascending order is represented by numbers that show up on a number line from left to right. We generally represent it with commas or by using the 'less-than symbol (<)' between numbers. For instance, 1, 2, 3, 4, 5 or 1 < 2 < 3 < 4 < 5.The given order is;
1/3 , 3/4 , 5/12 ,2/8
Write the values in the decimal forms;
0.33, 0.75, 0.416, 0.25.
Now arrange the sequence is the ascending order;
0.25, 0.33, 0.416, 0.75
Again transform them in fraction form;
2/8 < 1/3 < 5/12 < 3/4
Thus, the ascending order is found as 2/8, 1/3, 5/12, 3/4.
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Find the sum of 2.54 x 1019 and 3.218 x 1017.
3.2434 x 1036
2.57218 x 1036
3.2434 x 1019
2.57218 x 1019
Answer:
Option 4
Step-by-step explanation:
[tex]2.54 \times 10^{19}+3.218 \times 10^{17} \\ \\ =(254+3.218) \times 10^{17} \\ \\ =257.218 \times 10^{17} \\ \\ =2.57218 \times 10^{19}[/tex]
Answer:
2.57218*1019
Step-by-step explanation:
In the formula l=p.r.t what does P stand for
PLEASE ANSWERING THIS QUESTION!!!
The volume of a cone with height h and a radius r can be found using the formula [tex]\sf{V=\dfrac{1}{3}\pi r^2h[/tex]
Find the volume of a cone with radius 5 feet and height 4 feet.
(Blank) ft^3
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
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A bowl weighs 11/40 pound.
a. Express this weight as a decimal.
b. Explain how you can find the decimal by thinking of the denominator as a 4 and using mental math.
Answer: 0.275
Step-by-step explanation:
a. To express 11/40 as a decimal, you need to divide 11 by 40. (Steps shown in image)
b. Sorry, I can't figure out the answer to this. I don't recommend making the denominator a 4 as the numerator would become 1.1.
If anyone can help me to solve this!!
Answer:
[tex]\begin{array}{|l|l|c|c|c|}\cline{1-5} \textbf{Equation} & \textbf{Standard Form} & \textbf{a} & \textbf{b} & \textbf{c}\\\cline{1-5} \text{1.}\:\:x^2+x=20 & x^2+x-20=0 & 1 & 1 & -20\\\cline{1-5} \text{2.}\:\:4x^2-2x=28 \phantom{)))}& 4x^2-2x-28=0 \phantom{)))}& 4 & -2 & -28\\\cline{1-5} \text{3.}\:\:5x^2=225 & 5x^2-225=0 & 5 & 0 & -225\\\cline{1-5} \text{4.}\:\:x^2-x=36 & x^2-x-36=0 & 1 & -1 & -36\\\cline{1-5} \text{5.}\:\:3x^2-4=7x & 3x^2-7x-4=0 & 3 & -7 & -4 \\\cline{1-5}\end{array}[/tex]
Step-by-step explanation:
Standard form of a quadratic equation:
[tex]\boxed{ax^2+bx+c=0}[/tex]
Question 1
Given:
[tex]x^2+x=20[/tex]
Rearrange to standard form by subtracting 20 from both sides:
[tex]\implies x^2+x -20=20-20[/tex]
[tex]\implies x^2+x -20=0[/tex]
Therefore:
a = 1b = 1c = -20Question 2
Given:
[tex]4x^2-2x=28[/tex]
Rearrange to standard form by subtracting 28 from both sides:
[tex]\implies 4x^2-2x-28=28-28[/tex]
[tex]\implies 4x^2-2x-28=0[/tex]
Therefore:
a = 4b = -2c = -28Question 3
Given:
[tex]5x^2=225[/tex]
Rearrange to standard form by subtracting 225 from both sides:
[tex]\implies 5x^2-225=225-225[/tex]
[tex]\implies 5x^2-225=0[/tex]
Therefore:
a = 5b = 0c = -225Question 4
Given:
[tex]x^2-x=36[/tex]
Rearrange to standard form by subtracting 36 from both sides:
[tex]\implies x^2-x-36=36-36[/tex]
[tex]\implies x^2-x-36=0[/tex]
Therefore:
a = 1b = -1c = -36Question 5
Given:
[tex]3x^2-4=7x[/tex]
Rearrange to standard form by subtracting 7x from both sides:
[tex]\implies 3x^2-4-7x=7x-7x[/tex]
[tex]\implies 3x^2-4-7x=0[/tex]
[tex]\implies 3x^2-7x-4=0[/tex]
Therefore:
a = 3b = -7c = -4A sample of copper has a mass of 15.6 g and a volume of 1.75 cm^3. Calculate the density of copper from this sample.
this is for earth science but its math :/
Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².
What is the density of copper from the given sample?The density of a substance is simply the mass of that substance per unit of its volume.
Density is expressed mathematically as;
Density = Mass / Volume.
Given the data in the question;
Mass of copper sample = 15.6 gVolume of copper sample = 1.75 cm³Density of copper sample = ?Plug the given values into the formula above and solve for density.
Density = Mass / Volume
Density = 15.6 g / 1.75 cm³
Density = 8.91 g/cm²
Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².
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A patient is limited to 2000 milliliters (mL) of liquid intake per day. If the patient has 300 mL of juice for breakfast and 500 mL of milk for lunch, how much liquid can the patient have for the rest of the day?
Answer: 300mL + 500mL = 800 mL
2000 mL - 800 mL = 1200mL
The patient can have 1200 milliliters of liquid for the rest of the day.
Acasa Insurance Company offers several plans for home insurance.
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
The average payout by the insurance company for a fire claim is $27,000. Suppose 5% of the claims were for fire damage. What would Acasa's expected value (loss or gain) be per customer who chooses plan A
Acasa's expected value loss be per customer who chooses plan A
Assumption
Fill customers choose plan A
The average payout is the same for plans A & B
Expected value = net payment in -Net payment out
⇒ 1000% × 700$ - 5% ×[27000$ - 3000$]
⇒ 700$ - 1200$
⇒ -500$
What are a profit and loss?
A profit and loss statement is a record of revenue and expenses incurred by a business in a given period of time. A profit and loss statement is also called a P&L, an income statement, a statement of profit and loss, and income and expense statement, or a statement of financial results.
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HELP PLEASE!!!!Write two words that have a ratio of vowels to consonants of 3:2 and two words that have a ratio of the letters e and r of 2:1.
Answer:
ratio: 3 vowels; 2 consonants
media: 3 vowels; 2 consonants
letter: 2 e's; 1 r
electric: 2 e's; 1 r
72/45 in simplest form
If z/4+3=-2 what is the value of z/4+7?
Put your answer in the form of [x]
Answer: x=2
Step-by-step explanation:
x=z/4+7
x=z/4+3+4
x=(z/4+3)+4
x=-2+4
x=2
0.625+0.125+0.3125+0.0625
Answer:
the answer is = 1.125
Step-by-step explanation:
hopefully this helps!
What happens to the sum of the ball’s kinetic energy and potential energy as the ball rolls from point A to point E? Assume there’s no friction between the ball and the ground. An image shows a curve that starts at point A, decreases at B, then increases at C and D, and ends at E. A. The sum decreases. B. The sum increases. C. The sum remains the same. D. The sum always equals zero
The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).
based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.
the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.
The ball would not change the energy.
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PLEASE ANSWER THIS QUESTION QUICKLY!
Solve by factoring:
2(m-1)^2-11(m-1)+5=0
Give either of the two solutions.
Rules answering these questions:
Show your work!
Explain your answer!
Nonsense answer will be reported and delete your answer!
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|3k| >30 what is the compound inequality
Answer:
k < - 10 or k > 10
Step-by-step explanation:
inequalities of the type | x | > a have solutions of the form
x < - a or x > a , then
3k < - 30 or 3k > 30 ( divide each interval by 3 )
k < - 10 or k > 10
The mean diameter of holes produced by a drilling machine is 4.05mm and the standard deviation of the diameter is 0.0028mm. for 20 holes drilled using this machine. determine , correct to the nearest whole number how many hare likely to have diameters of between
a) 4.048 and 4.0553
assuming they are normaly distributed
The hole having the diameters likely between 4.048 and 4.0553 is 17.
Maximum value of diameter = 4.05 + 0.0028 = 4.0528
Minimum value of diameter = 4.05 - 0.0028 = 4.0472
So, the diameters of the holes are in AP with common difference
= (2 × 0.0028) / 20 = 0.00028
So, the AP is:
4.0472, 4.04748, 4.04776, 4.04804, …, 0.0.0528
So, the first 3 terms are not included between 4.048 and 4.0553
Hence, the answer is 20 - 3 = 17
Therefore, the hole having the diameters likely between 4.048 and 4.0553 is 17.
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