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3 years ago

What is the y-intercept of the line y+11= -2(x+5)?

Mathematics

1 answer:

poizon [28]3 years ago

4 0

Answer:

y-intercept is (0, -21)

Step-by-step explanation:

For y-intercept, x = 0:

${ \sf{y + 11 = - 2(0 + 5)}} \\ { \sf{y + 11 = - 10}} \\ { \sf{y = - 21}}$

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What is the perimeter of ABC with vertices at A (-11,4) B(-7,8) and C (-4,4)

Alborosie

Answer:

Step-by-step explanation:

Using the distance formula,

$AB=\sqrt{(-11-(-7))^{2}+(4-8)^{2}}=\sqrt{16+16}=4\sqrt{2}\\AC=\sqrt{(-11-(-4))^{2}+(4-4)^{2}}=7\\BC=\sqrt{(-7-(-5))^{2}+(8-4)^{2}}=\sqrt{4+16}=2\sqrt{5}\\\\$

So the perimeter is $4\sqrt{2}+7+2\sqrt{5}$

3 0

2 years ago

Finding terms of an arithmetic sequence with a recursive formula a1 =12 an= an-1+7

Basile [38]

Hey there!!

Recursive formula :

... a( n ) = a ( n - 1 ) + 7

The first term is 12

To find the second term, we will need to substitute 2 in place of ' n '

2 term :

... a( 2 ) = a ( 2 - 1 ) + 7

... a( 2 ) = a( 1 ) + 7

We know a( 1 ) = 12

... a( 2 ) = 12 + 7

... 19 is the second term and we will need to use this to find the other terms.

Hope my answer helps!

5 0

3 years ago

Solve the following inequality: 10t + 7 , 200 > 21 , 000

Alla [95]

Answer:

t > 1380

Step-by-step explanation:

Subtract 7200 from both sides

10t + 7200 - 7200 > 21000 - 7200

Simplify

10t > 13800

Divide both sides by 10

10t/10 > 13800/10

Simplify

t > 1380

4 0

3 years ago

Help again ;----; pls

yan [13]

Answer: Both 14, and 20

Step-by-step explanation:

8 0

2 years ago

In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is

Lilit [14]

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

$\mu=np=300\times0.077=23.1$

$\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62$

Now, using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponding to 26 will be :-

$z=\dfrac{26-23.1}{4.62}\approx0.63$

Using standard distribution table for z , we have

P-value= $P(z\geq0.63)=1-P(z$

$=1-0.7356527=0.2643473\approx0.2643$

Hence, the probability that at least 26 in the sample are unemployed =0.2643

6 0

3 years ago