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2 years ago

A line passes through the point (-9, -3) and has a slope of 2.

Mathematics

1 answer:

tresset_1 [31]2 years ago

4 0

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -9 y_1= -3

m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

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*100 points* A circle has a diameter with endpoints (-7, -1) and (-5, -9).

earnstyle [38]

Diameter

√(-7+5)²+(-1+9)²
√2²+8²
√4+64
√68
2√17

Radius

2√17/2
√17units

Now

Centre

(h,k)

(-7-5/2,-1-9/2)
(-12/2,-10/2)
(-6,-5)

Equation

(x-h)²+(y-k)²=r²
(x+6)²+(y+5)²=(√17)²
(x+6)²+(y+5)²=17

Option A

8 0

2 years ago

Read 2 more answers

In a class of 34 students, 19 of them are girls.

Colt1911 [192]

Answer:

55.9%

Step-by-step explanation:

To find the percent that are girls, take the number of girls over the total number of students

19/34

.558823529

To change to percent form, multiply by 100%

55.8823529%

To 1 decimal place

55.9%

5 0

3 years ago

Read 2 more answers

Between which two square roots of integers could you find π

LUCKY_DIMON [66]

Hello.

Since 3 < pi < 4,
√9 < pi √16

In fact, since pi^2 = 9.86,

√9 < pi < √10.

Which means the you can find pi between square roots √9 and √10.

Have a nice day

5 0

3 years ago

I NEED HELP ASAP about this question it’s for a test !

Lilit [14]

Answer:

0.25

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

6 0

3 years ago