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3 years ago

What is the equation of a line passing through the point (a, b) and having a slope of b?

1 answer:

3 0

The equation of a line that passes thruogh the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)

so
passing through (a,b) and having slope of b is
y-b=b(x-a)

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What is the answer to this --->

siniylev [52]

Answer:

4.25 hours

Step-by-step explanation:

38.25/9

8 0

2 years ago

David, Stephen and June share £96 in a ratio 2:3:3. How much money does each person get

AveGali [126]

Answer:

<u>David gets £24, Stephen gets £36, and June gets £36.</u>

Step-by-step explanation:

Firstly, add the ratio values together.

2:3:3 ⇒ 2 + 3 + 3 = 8

Next, divide £96 (your total) by 8.

£96 ÷ 8 = £12

Now, we have the number of pounds for 1 value.

Multiply 12 by each ratio value.

<u>12 × </u><u>2</u> : <u>12 × </u><u>3</u> : <u>12 × </u><u>3</u>

= 24:36:36

Therefore, David gets £24, Stephen gets £36, and June gets £36.

<em />

<em>I hope this helped! I would really appreciate it if you would please mark me brainliest! Have a blessed day!</em>

7 0

3 years ago

Read 2 more answers

Please answer the question and leave an explanation on how to solve each part. Thank you in advance!

horsena [70]

The solutions are

it is going to take 15.9 months to raise 10000 dollars

You will have $37.31 after you have bought the car
The money deficit would be $37.31

<h3>How to solve the question</h3>

a. 10000 = 9359.08e(0.05)

e⁰⁰⁵ = 10000/9359.08

= 0.05 = ln(10000/9359.08)

= 1.325 years

convert to months = 15.9 months

Hence it is going to take 15.9 months to raise 10000 dollars

b. 9359.08 x e^(0.05 x1.25)

= 9962.69

10000 - 9962.69

= $37.31

You will have $37.31 after you have bought the car

c. The money loss and the deficit would be same as above $37.31

d. ln(e^a) = a

We can clearly see that the money cannot be raised in the 15 months from $ 9359.08. there is a deficit amount of $37.31

Read more on compound interest here: brainly.com/question/24924853

#SPJ1

3 0

1 year ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Svetlanka [38]

Option a: $17.32 \ {m}$ is the length of b

Explanation:

The angle of B is $\angle B=60^{\circ}$ and $a=10 \ m$

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

$\angle A+\angle B+\angle C=180^{\circ}$

$\angle A+60^{\circ}+90^{\circ}=180^{\circ}$

$\angle A+150^{\circ}=180^{\circ}$

$\angle A=30^{\circ}$

Thus, the angle of A is $\angle A=30^{\circ}$

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

$\frac{a}{\sin A}=\frac{b}{\sin B}$

where $a=10 \ m$ , $\angle A=30^{\circ}$ , $\angle B=60^{\circ}$

Thus, we have,

$\frac{10}{\sin 30}=\frac{b}{\sin 60}$

Simplifying, we get,

$\frac{10}{0.5}=\frac{b}{0.866}$

Multiplying both sides by 0.866, we get,

$\frac{10\times0.866}{0.5}=b$

Multiplying the numerator, we have,

$\frac{8.66}{0.5}=b$

Dividing, we get,

$17.32=b$

Thus, the length of b is $b=17.32 \ m$

Hence, Option a is the correct answer.

7 0

2 years ago

Nate has an account that pays 2. 76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 1

lana66690 [7]

We have given that,

interest rate = 2.76%

simple interest = 3,090

term = 15 years

<h3>What is the principle of simple interest?</h3>

$Simple Interest = Principal * interest rate * term$

$3,090 = Principal * .0276 * 15\\3,090 = Principal * 0.414\\3,090 / 0.414 = Principal\\7,463.77 = Principal$

Therefore,Nate should invest 7,463.77 to meet his goal.

To learn more about the simple interest visit:

brainly.com/question/25793394

4 0

2 years ago