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3 years ago

A line contains the point (8, –5). If the slope of the line is 5/7 write the equation of the line using point-slope form.

1 answer:

7 0

Point slope form
y<span> – </span>y1<span> = </span>m(x<span> – </span>x1<span>)
</span>
so equation
y + 5 = 5/7(x - 8)

hope that helps

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Evaluate the following:<br>(-8)2

Zigmanuir [339]

Answer:

Step-by-step explanation:

PEMDAS- (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.

BOMDAS- (Brackets, Of, Multiply, Divide, Add, and Subtract) from left to right.

(-8)2

-8*2 (First, remove parenthesis.)

-8*2=-16

-16

Therefore, the final answer is -16.

5 0

3 years ago

Read 2 more answers

The function h=-16t^2 +1700 gives you the height h, of an object in feet, at t seconds. How long will it take the object to hit

garik1379 [7]

Answer:

The object will hit the ground after 10.308 seconds.

Step-by-step explanation:

h(t) = -16t² + 1700

If you graphed this function, the object would be shown hitting the ground when it crosses the x-axis, in other words, when h = 0. So, to find the answer, just set h(t) equal to 0 and solve.

-16t² + 1700 = 0 Plug this into a calculator if you have one.

t = -10.308 and t = 10.308

Since time can't be negative, your answer will be the positive value, 10.308.

6 0

3 years ago

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

Solve the following problems mentally and match it to its corresponding solution.

HACTEHA [7]

Answer:

Step-by-step explanation:

Isolate the term of t from one side of the equation.

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

<u>First, change sides.</u>

t+10=14

<u>Then, subtract by 10 from both sides.</u>

t+10-10=14-10

<u>Solve.</u>

<u>Subtract the numbers from left to right.</u>

14-10=4

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

<u>Rewrite the problem down.</u>

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

<u>Solve.</u>

<u />

<u>Divide the numbers from left to right.</u>

-40/-1=40

<u>Therefore, the correct answer is t=10, t=4, and t=40.</u>

I hope this helps! Let me know if you have any questions.

6 0

2 years ago

Read 2 more answers

If two events have probabilities which sum to 1, they are called _ _ _ _ _ _ _ _ _ _ _ _ _ events

Tom [10]

Answer:

An event with probability 0 never occurs. An event with probability 1 occurs on every trial

Step-by-step explanation:

3 0

3 years ago