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VikaD [51]
3 years ago
15

What is the slope line that passes through the points (10, 8) and (-15, 18)? Write your answer in simplest form

Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer: y=-\frac{2}{5}x+12

<em>y = mx + b</em>

m = slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{18-8}{-15-10}=\frac{10}{-25}=\frac{2(5)}{-5(5)}=-\frac{2}{5}

<u>The y-intercept(b) can be found by substituting a point into the function.</u>

y = -\frac{2}{5}x + b \\\\8=-\frac{2}{5}(10) + b\\\\8=-4+b\\\\b=8+4=12

<u>Therefore, the function is:</u>

y=-\frac{2}{5}x+12

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Jason scored a total of 38.14points in four events during his state gymnastic compitition.if he had the same score for each even
Solnce55 [7]
That would simply be
                                  38.14 ÷ 4 = 9.535

thus he scored 9.535 on each event
3 0
3 years ago
The diagram shows a square ABCD.
sergij07 [2.7K]

Answer:The diagram shows a square ABCD.

D

N

bu

A

M

I

Mis the midpoint of AB.

Nis the midpoint of AD.

The area of the shaded triangle AMN is 18 cm

Work out the area of triangle MCN.

5b is the area of MCN

Step-by-step explanation:

3 0
2 years ago
Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i
True [87]

wheee



Compute each option


option A: simple interest


simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)


and I=PRT

P=principal

R=rate in decimal

T=time in years


so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10


A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years




Option B: compound interest

for interest compounded yearly, the formula is

A=P(1+r)^t

where A=final amount

P=principal

r=rate in decimal form

t=time in years


given

P=15000

r=4.1% or 0.041

t=10


A=15000(1+0.041)^{10}

A=15000(1.041)^{10}

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account





in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20-%20y%20%3D%20%5Cfrac%7B2%7D%7B5%7Dx%20-%203" id="TexFormula1" title=" - y = \frac{2}{5}x -
raketka [301]
The first step to solving this equation is to change the signs on both sides of the equation
y = -\frac{2}{5}x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = -\frac{2}{5}x + 3, x ∈ R
Let me know if you have any further questions
:)
5 0
3 years ago
Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo deci
zvonat [6]

Answer:

The thing u pasted is glitched and isn't loading

Step-by-step explanation:

8 0
2 years ago
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