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den301095 [7]
3 years ago
7

Write an equation for the line that passes through the points (0,-6) and (-3,0)

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

Then the desired equation is y = -2x - 6.

Step-by-step explanation:

As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6.  Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.

Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:

y = mx + b becomes 0 = -2(-3) + b, so that b = -6.

Then the desired equation is y = -2x - 6.

Check:  Does (0, -6) satisfy y = -2x - 6?  Is -6 = -2(0) - 6 true?  YES

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Solve. 4 + x/7 = 2<br> A -14<br> B -10<br> C -12<br> D -42
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Answer:

The answer to your question is: x = - 14

Step-by-step explanation:

Solve                     4 + x/7 = 2

Multiply by 7     7(4 + x/7 = 2)                

expand             28 + x = 14

simplify             x = 14 - 28

result                 x = - 14

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4 years ago
Please Help ASAP!!!<br> Question in image below.
Luda [366]

Answer:

You know that XZ is 15 and the whole perimeter of the triangle is 50. WZ is going to be the same length as WX due to the lines saying that they are equal.

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Eduardwww [97]
Problem 17, part A

i = simple interest = 900 dolars
p = principle = 1500 dollars
r = interest rate = 0.03 (decimal form of 3%)
t = time in years = unknown (leave it as t for now)

Plug in those values mentioned above and solve for t.

Simple interest formula
i = p*r*t
900 = 1500*0.03*t
900 = 45*t
900/45 = 45*t/45
20 = t
t = 20

Answer: 20 years

=============================================

Problem 17, part B

p = 1500
r = 0.03
t = 5 years

A = p+p*r*t
A = 1500+1500*0.03*5
A = 1500+225
A = 1725

Answer: 1725 dollars

=============================================

Problem 17, part C

Factor out the GCF p, then divide both sides by 1+rt

A = p+p*r*t
A = p*1+p*r*t
A = p*(1+rt)
A/(1+rt) = p*(1+rt)/(1+rt)
A/(1+rt) = p
p = A/(1+rt)

Answer: p = A/(1+rt)

The right side is the fraction of A all over the quantity (1+rt) which may be more readable if written like so 
p = \frac{A}{1+rt}
If you're going to write it in the way p = A/(1+rt) then don't forget to use parenthesis. 

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