Answer:
Step-by-step explanation:
[tex]\boxed{x^2-y^2=(x+y)(x-y)}[/tex]
[tex]c^2-(d+2)^2=\\(c+(d+2))(c-(d+2))=\\(c+d+2)(c-d-2)[/tex]
solve by completing the square
2x^2-12x-20=0
The square of the equation 2[tex]x^{2}[/tex] – 12x – 20=0 is
What is a quadratic equation?
A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.
a[tex]x^{2}[/tex]+bx+c , a, b, c are integers .
formula: −b±√b2−4ac/2a
Given equation ,
2[tex]x^{2}[/tex] -12x-20=0
By comparing with the quadratic equation
Here, a=2, b= -12, c= -20.
X=−b±[tex]\sqrt{b^2-4ac}[/tex]/2a
X= -(-12) + [tex]\sqrt{(-12)2-4(2)(20)}[/tex] /2(2)
X=12+- [tex]\sqrt{144-160}[/tex]/4
X=12+- [tex]\sqrt{-16}[/tex]/4,
X=12+- (-4)/4
X=12+(-4)/4 and x=12-(-4)/4
X= 12-4/4 and x=12+4/4
X=8/4 and x= 16/4
X=2 and x= 4
Therefore, the square of the equation 2x2-12x-20=0 is x= 2 and x=4.
To know more about the quadratic equations visit:
https://brainly.com/question/17177510
#SPJ9
7. What is the simple interest on a housing loan of $350,000, over 30 years with *
a rate of 4.5%?
A : $35,000
B -$350,000
C-$47,250
D-$472,500
Answer:$472,500
Step-by-step explanation: I did $350,000 multiplied by 4.5% and got 15750 and then multiplied 15750 by 30 and then got $472,500
The students in Mr. Bishop's class have written 28 poems. They are putting their poems together to make a poetry book. They put 4 poems on each page. So far, the students have made 5 pages. How many pages do they still need to make? ____ pages
how can you Introduce and Represent a ratio
A ratio can be introduced as an ordered pair of numbers, and it can be represented as x:y.
What is a ratio?A ratio can be introduced or described as an ordered pair of numbers.
For example, given two numbers x and y, where y is not equal to 0, the ratio can be represented as follows:
x:y
For example, let x represent the number of plates and equal to 2, and y represents the number of spoons and equal to 5, we will have the ratio as follows:
2:5
The ratio 2:5 implies that for every 2 plated there are 5 spoons.
Learn more about ratios here: https://brainly.com/question/13419413.
#SPJ1
5. Sandra drew the triangle below. Rika said that the lengths couldn't be correct. With which student do you agree? Explain your answer. 30 10 60 5√3
Answer:
Rika
Step-by-step explanation:
The side opposite the 30° angle is longer than the side opposite the 60° angle.
The sum of three consecutive odd integers is 45. Find the va
three.
Answer:
Submit Answer
Answer:
The three integers are:-17,-15,-13
Answer:
13, 15, 17 (the set)
Step-by-step explanation:
To find the middle number, you just divide 45 by 3 since you have three consecutive digits.
45/3 = 15 = the middle number
13, 15, 17 (+2, and -2 from 15 since has to be odd)
Checking work:
13+15+17 = 45
When someone says they ran a 5k, what type of measurement are they using? is that a far distance?
Answer:
1 kilometer is equal to 1000 meters
Step-by-step explanation:
*HURRY help i’m taking a test*
mario will purchase 2 rare coins each month at a cost of $50 each. how much money will mario have spent on his coin collection after 2 years if he purchases an additional 3 coins at the end of the 2 years?
a. $1200
b. $2550
c. $2400
d. $1750
c. $1250
Answer: b 2550
Step-by-step explanation:
The area of Ivory’s scaled copy is 48 square units.
Ivory's scaled counterpart has a 48-square-unit area.
Ivory's scale factor for producing their scaled replica is;
On the graph, one interval corresponds to four units of the rectangle. This ratio is 1:4.
We can see from the provided image that the rectangle's y-axis has three intervals and its x-axis has one interval.
Now, the picture informs us that the scaled copy's area is 48 square units.
This indicates that the triangle she is attempting to depict with that graph has an area of 48 square units.
Now, if one of the graph's intervals is in units of x, then it indicates;
Y-axis: length; 3x units
size; x-axis equals x units
A rectangle's area is
based on the formula Area = Length Width, 3x [tex]\times[/tex] x = 48.
1 interval on the graph corresponds to 4 units of the rectangle because 3x2 = 48 x2 = 48/3 x2 = 16 x = 16 x = 4.
To learn more about rectangle's area Visit : https://brainly.com/question/24770161
#SPJ9
Add using the number line. -9 +6 Drag and drop the word Sum to the correct value on the number line. -151413121110-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
If we select -9 in the number line, then we need to add 6. Because 6 is positive, we need to move 6 units to the right of -9, it will give:
-9 + 6 = -3
How to add using a number line?
When we have two values A and B and we want to add them using the number line, the first thing we need to do is select one of these two, and locate it on the number line.
Once we did that, the other number will tell us how many units we need to move to the left (if B is negative) or to the right (if B is positive).
In this case the two numbers are -9 and 6.
If we select -9 in the number line, then we need to add 6. Because 6 is positive, we need to move 6 units to the right of -9, it will give:
-9 + 6 = -3
We will get the exact same thing if we first step on the number 6 on the number line, and then move 9 units to the left, we will got -3.
If you want to learn more about number lines:
https://brainly.com/question/24644930
#SPJ1
Use additive inverses and their properties to find the equivalent expressions
Answer:
1. 6+(-3)
2. 6+3
3. -6+(-3)
4. -6+3
pa brainliest thankk youu!!
Answer:
1 .6 - (-3) : 6 + 3
2.6 - 3 : 6 + (-3)
3.-6 - (-3): -6 + 3
4.-6 - 3: -6 + (-3)
Step-by-step explanation: right on edge , hope this helps you :)
44.00 divided by 2.20
Showed with work PLSS HELP ME !!!!
Answer:
20
Step-by-step explanation:
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace440}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
HWELPPEOEOEOWOEKEEN :.((((((
When Betty painted her house, she used 3 gallons of white paint and 2 gallons of brown paint. How many gallons of paint did Betty use in all?
Answer:
5 gallons
Step-by-step explanation:
You just add 2 gallons and 3 gallons and you get
Ralph's grandmother was born in 1925. ralph was born in 1990. if both ralph and his grandmother took the intelligence quotient (iq) test, who would most likely get more items correct?
Ralph would most likely get more items correct than his Grandmother.
If both Ralph and his Grandmother took the Intelligence Quotient i.e., IQ test, then Ralph would most likely get more items correct than his Grandmother. This is due to Flynn Effect.
Flynn Effect refers to secular increase in population intelligence quotient observed throughout the 20th century. It demonstrates that the average of the IQ scores will change as varying generations have different thresholds for what intelligence is necessary.
Flynn Effect is documented by Flynn in a study on intelligence quotient. As Ralph's grandmother was born on 1925 and Ralph was born in 1990, so they have a generation gap of almost six decades. That is why Ralph will have a higher IQ than his grandmother.
Know more about Flynn Effect:
brainly.com/question/10607327
#SPJ4
Write the rational number 36/5 as a decimal
Answer:
36/5 as a decimal is 7.2
Step-by-step explanation:
In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".
When we calculated 36 divided by 5, we found that 36/5 in decimal form is:
36 ÷ 5 = 7.2
Therefore, the decimal form of 36/5 is 7.2
A tank truck fills the gas stations reservoir at the rate of 10 1/4 gallons per minute.if the reservoir was empty and it is now 41 gallons full how long has the tanker been filling the reservoir
The tanker has been filling the reservoir for 4 minutes given that it fills at a rate of 10 1/4 gallons per minute.
Rate refers to the relationship of two quantities of different units. Usually, it is a measure or quantity of something per unit time.
rate = amount / time
If a tank truck fills the gas station's reservoir at the rate of 10 1/4 gallons per minute, and if the reservoir is empty at the start and become 41 gallons full, we can determine how long the tanker has been filling the reservoir by dividing the final amount by the rate.
time = amount / rate
where amount = 41 gallons
rate = 10 1/4 gallons per minute
time = 41 gallons / 10 1/4 gallons per minute
time = 4 minutes
To know more about rate, visit brainly.com/question/24950565.
#SPJ4
The brady family received 31 31 pieces of mail on april 22. the mail consisted of bills, letters, magazines, and ads. how many bills did they receive if they received the same number of bills as magazines, five more ads than letters, and three more letters than magazines?
The number of bills received by brady family are 781.
What is Linear equation in one variable?A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable with the form an x + b = 0 are solved utilizing basic algebraic operations.
Let x equal the number of letters obtained,
(x - 3) equal the number of bills obtained,
(x + 5) equal the number of advertisements received, and also
the number of magazines did receive is also given (x - 3).
The following equation can be derived:
x + (x - 3) + (x + 5) + (x - 3) = 3131
4x - 1 = 3131
4x = 3132
x = 784
Thus, number of bills received are-
(x - 3) = 784 - 3
number of bills received = 781.
Therefore, the number of bills obtained by brady family are 781.
To know more about Linear equation in one variable, here
https://brainly.com/question/12788590
#SPJ4
Which fraction is equivalent to this decimal
Answer:
1/7
Step-by-step explanation:
You can just divide all the possible answers.
1/9 = 0.1111111 (1 repeating
1/7 = 0.142857142857
1/11 = 0.090909090909 (repeating)
1/14 = 0.0714285714286 (repeating)
Randalstown Rugby Club play 20 matches and win 17 of the matches.
What percentage of the matches did Randalstown win?
Answer:
85%
Step-by-step explanation:
Total no. of matches played,
→ x = 20 matches
No. of matches they won,
→ y = 17 matches
Now the win percentage will be,
→ (y/x) × 100
→ (17/20) × 100
→ 0.85 × 100
→ 85%
Hence, the percentage is 85%.
Three more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.
Answer:
Step-by-step explanation:
The number = x
Three more than the number = x + 3
twice the number = 2x
which means:
2x + 3 < -13
2x + 3 -3 < -13 -3 (subtract 3 from both sides)
2x < -16
2x/2 < -16/2 (divide 2 from both sides)
x < -8
There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.
There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
We know that, an exponential distribution is a type of continuous distributions.
This probability distribution times the occurrence of events.
In exponential probability distribution, events happen continuously and independently at a constant average rate.
The continuous random variable, say X is said to have an exponential distribution, if it has the following probability density function:
[tex]f_X(x)=\left \{ {{\lambda e^{-\lambda x~~~x > 0}} \atop {0~~~~~~~x\leq 0}} \right.[/tex]
The exponential distribution is memoryless.
We know that, for exponential the lower limit is 0, but the upper limit is infinity, meaning there is no upper limit.
Therefore, There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
Learn more about the exponential probability distribution here:
https://brainly.com/question/14560314
#SPJ4
7 1/2 - 3 5/6 im not sure
Answer:
11/3 or 3 2/3
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
determine a skier's velocity in km/h, if it takes her 1.7 min to ski down a 1.67 km slope
Answer:58.8km/h
Step-by-step explanation: V= 1.67/1.7= 0.98 km/min
0.98*60min=58.8
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
A
X
1
2.
3
4
5
y
4
12
36
108
324 B X 1
2
3
4
5
у
9
10
11
12
13. C
X
1
2
3
4
5 7 28
49
70
91
D X 1 2 3
4
5 y 4
12
20
28. 36. Yo
Answer: Could you possibly make the question telligible via photo or better tables? I'd love to help if you would!
Step-by-step explanation:
gina wilson quiz 4-3
Find the value of x in the triangle shown below.
Answer:
Thus, the value of x in the given triangle is 55°
Step-by-step explanation:
Given - Dimensions of triangle and angles
of triangle
Find - Value of x
Solution - The value of x in the given triangle is 55°.
As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.
Thus, the mathematical expression of all the angles of a given triangle will be -
x + x + 80 = 190
2x + 80 = 190
2x = 190 - 80
2x = 110
x = 110/2
x = 55°
.
A triangle has angles measuring 45°, 55°, and 80°. It is dilated by a scale factor of 2. What are the angle measures, in order from least to greatest, of the dilated image?
The angle measures, in order from least to greatest, of the dilated image 45°,55° and 80°.
A dilation is a function f from a metric space M into itself that satisfies the identity d=rd for all points x, y \in M, where d is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the space.
Euclidean space, In geometry, a two- or three-dimensional space in which the axioms and postulates of Euclidean geometry apply; also, a space in any finite number of dimensions, in which points are designated by coordinates (one for each dimension) and the distance between two points is given by a distance formula.
Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still 45 °, 55 °, and 80 °.
to learn more about angles visit:
https://brainly.com/question/28493506
#SPJ9
Answer:45,55,80
Step-by-step explanation: dilations preserve angles measures regardless of the scale factor. Therefore the angle measures of the image will be the same of that of the pre-image ,so our answer is still 4545,5555,8080 .
help with this question please! show word needed!
Answer: u = 80° v = 25°
Step-by-step explanation:
(a) angles on a straight line = 180° - 130° = 50°
In isosceles triangle, both angles on each side is equal, so
180° - 50° - 50° = 80°
u = 80°
(b) u = (2v + 30°) because opposite angles of a parallelogram are equal.
u = 80°
80° = 2v + 30°
80 - 30 = 50
50° = 2v
25° = v
How is solving an equation with the variable on both sides of the equation the same as and different from solving an
equation with the variable on one side of the equation?
Answer:
when the variable is on both sides of the equation first collect the same variable in one side end evaluate it,
Step-by-step explanation:
when solving the them, we collect like term and put the same term in one side to other