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3 years ago

What is the greatest factor of 52 that is a prime number?

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Factors of 52 = 1, 2, 4, 13, 26, 52.

The greatest factor of 52 that is a prime number is 13.

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Write and solve an equation to find the value of x and a missing angle in each triangle below. Use the number bank to help you c

jolli1 [7]

Answer:

1. x = 30

REC = 130

Step-by-step explanation:

2x + 70 = 4x + 10

60 = 2x

x = 30

you try the others

Good luck :D

5 0

2 years ago

Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex

siniylev [52]

Answer:

$\large \boxed{\sf \ \ \ p=-11 \ \ \ }$

Step-by-step explanation:

Hello,

$\alpha \text{ and } \beta \text{ are the roots of the following equation}$

$2x^2+6x-7=p$

It means that

$2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\$

And we know that

$\alpha= 2\cdot \beta$

So we got two equations

$2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1$

For $\beta =0, \ \ \alpha =0, \ \ p = -7$

For $\beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11$

I assume that we are after two different roots so the solution for p is p=-11

b) $\alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1$

So a quadratic equation with the expected roots is

$x(x-1)=x^2-x$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

3 years ago

I don’t know how to do it can someone help me?

frozen [14]

Answer:f(g(0))= 1/5

g(f(0))= 7

Step-by-step explanation:

for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3

so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2

= 1/5

so f(g(0)) is equal to 1/5

Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2

=1/2

now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3

= 4+3

so g(f(0)) is equal to 7

Hope this helps:)

3 0

3 years ago

Which of the following is an undefined term? a. angle b. line c. ray d. vertex

love history [14]

The three undefined terms in geometry are line, point, and plane. So:
Your answer is B

I hope this helps:)

5 0

3 years ago

Read 2 more answers

The intensity of light bulb measured in watts per square meter (w/m^2), varies inversely as the square of the distance d from th

krek1111 [17]

Answer:

I(7) = 22.96 W/m²

Step-by-step explanation:

Let intensity of light, be I(d) where d is distance. There must be a proportionality factor K such as

I(d) = K /d²

Now for d = 5 m I(d) = K* 1/d²

then 45 * 25 = K

K = 1125

To find the intensity when the distance from the light bulb is 7 m away

I(7) = K / 49

I(7) = 1125/49 W/m²

I(7) = 22.96 W/m²

6 0

3 years ago