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In the right triangle shown, what is the length of segment PQ?
P
17 cm
15 cm

Answer:

[tex]a=-\frac{1}{8}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Write the vertex form and then solve for

The general equation is:

[tex]y = a(x - h)^2 + k[/tex]

From the attachment, the vertex is at:

[tex](h,k) = (24,50)[/tex]

i.e.

[tex]h = 24; k= 50[/tex]

Considering point:

[tex](x,y) = (4,0)[/tex]

i.e.

[tex]x=4;y=0[/tex]

Substitute these values in [tex]y = a(x - h)^2 + k[/tex]

[tex]0 = a(4 - 24)^2 + 50[/tex]

[tex]0 = a(- 20)^2 + 50[/tex]

[tex]0 =a(400) + 50[/tex]

[tex]0 = 400a + 50[/tex]

Solve for a

[tex]400a = -50[/tex]

Make a the subject

[tex]a=-\frac{50}{400}[/tex]

[tex]a=-\frac{1}{8}[/tex]

Answer:

y = a(x - h)^2 + k

h = 24, k = 50, x = 4, y = 0

0 = a(4 - 24)^2 + 50

0 = a(-20)^2 + 50

0 = a(400) + 50

0 = 400a + 50

400a = -50

a = - 50/400

a = - 1/8

Step-by-step explanation:

that's what i put copy and paste

Answer: should be 3/5

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

75 ÷ 25

125 ÷ 25 if im wrong sorry

The ratio of 75m : 125cm in its simplest form is 60 : 1.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Two similar quantities.

We know 75m = 75×100 = 7500 cm.

Therefore, The ratio between them is,

7500 : 125.

1500 : 25.

300 : 5.

60 : 1.

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Answer:

C. 3(4) + 5(4)³ ≠ 8(4)⁴

Step-by-step explanation:

3y + 5y³ is NOT the same as 8y⁴

Assume y = 4

Not equal to sign ≠

3y + 5y³ ≠ 8y⁴

3(4) + 5(4)³ ≠ 8(4)⁴

12 + 20³ ≠ 32⁴

12 + 8000 ≠ 1,048,576

8012 ≠ 1,048,576

The statement which shows that 3y + 5y³ is NOT the same as 8y⁴ is 3(4) + 5(4)³ ≠ 8(4)⁴

Answer:

x-3y-7=0

Step-by-step explanation:

Dont care bruuhh

Answer: 1/3

Step-by-step explanation:

From the point (-1,0) you go to the right one square, and up 3 squares to get to the next point on the graph that the line goes through (0,3).

Answer:

haha i know this riddle

Step-by-step explanation:

there is a guy and he has had a son, and his son has also had a son, so there are technically 3 guys, but 2 fathers and 2 sons

Answer:

The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.

Step-by-step explanation: i got it right on the test

A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.

Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.

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Answer:

The answer is 35cm squared :D

Step-by-step explanation:

Answer:

The answer is 35! I just did it, and it's 35!

Step-by-step explanation:

Answer:

31,093 / 14 = 2,220 R 13

Step-by-step explanation:

Answer:

2,220.9285714286 this is the answer of 31093÷14

Answer:

Given points are ( 6, -2 ) and ( 12 , -2 )

Step-by-step explanation:

Slope of line ( m )

y2-y1

---------

x2-x1

= (-2 + 2)/ 12-6

Step-by-step explanation:

the slope is 0

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

did the equation = 0

Answer:

2

Step-by-step explanation:

That is the only valid reflection across line e.

Answer:

2

Step-by-step explanation:

When an image is reflected over a line the triangles are positioned the same way and the distance from the line is the same therefore your answer is 2

Answer:

e(to the power of 9)

Step-by-step explanation:

when you multiply variables with exponents, you have to add the exponents together.

Hi there!

Answer:   [tex]\huge\boxed{\ e^9}[/tex]

Explaination:

  1. e^5 multiplied by e^4 = e^(5 + 4) = e^9

Hope this helps!

Answer:

-6 and -10

Step-by-step explanation:

First find two numbers that multiply to 60 and add up to 16

these numbers are 6 and 10

then write the numbers in factored form: (x+6) (x+10)

Then set each one equal to zero and solve to find the zeros of the function

x+6=0 --> x=-6

x+10=0 --> x=-10

the zeros of the function are -6 and -10

Hope this helps!

Answer:

The HCF of 130, 325 and 845 is equal to 65.

Step-by-step explanation:

We need to find the HCF of 130, 325 and 845​.

First, we see the prime factors of the above numbers i.e.

The factors of 130 are: 1, 2, 5, 10, 13, 26, 65, 130

The factors of 325 are: 1, 5, 13, 25, 65, 325

The factors of 845 are: 1, 5, 13, 65, 169, 845

Then the greatest common factor is 65. So, the HCF of 130, 325 and 845 is equal to 65.

Answer:

$506.025

Step-by-step explanation:

$750 - 25% = $750 - $187.5

$562.25 - 10% = $562.25 - 56.225

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

Answer:

(-3, -8)

Step-by-step explanation:

The point is in the third quadrant, so both coordinates must be negative. -3 represents the x coordinate and -8 represents the y coordinate.

Answer:

256.76inch²

Step-by-step explanation:

area of square = side × side

6.4 × 6.4 = 40.96

number of squares = 6

6×40.96=256.76

Answer:

43.2

Step-by-step explanation:

first turn 2 1/2 into an improper fraction

(2 × 2) + 1 = 5

5/2

then turn 5/2 into a fraction

5 ÷ 2 = 2.5

now divide!

108 ÷ 2.5 = 43.2

Number equivalent to 108/2 1/2 is 43.2 .

Given,

108 divided 2 1/2

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

108/2 1/2

= 108 / (5/2)

= 43.2

Hence the answer is 43.2

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the answer is x=47 hope this helps

Answer:

1/8

Step-by-step explanation:

yay

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if you're solving for the surface area of a rectangular prism then it's 304 :D

Answer:

f(n) = -34 -3(n - 1)

Step-by-step explanation:

The explicit formula for f(n) is given below:

Given that

f(1)= -34

f(n)=f(n−1) - 3

Based on the above information

f(n) = a1 +d(n -1)

a1 = -34

d = -3

So

f(n) = -34 -3(n - 1)

This above represent an explicit formula

Answer:

168.96

Step-by-step explanation:

21.12 x 8 = 168.96

Answer:

$2.26

Step-by-step explanation:

21.12/8

just divide