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Leni [432]
3 years ago
6

Solve for a: b − 2a = c

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

a=-\frac{c-b}{2}

Step-by-step explanation:

Solving for the variable a, given that :

b-2a=c

We can first start start by subtracting b from both sides of the equation:

-2a=c-b

Now, we can divide both sides of the equation by the coefficient of a, which would be -2:

a=\frac{c}{-2}-\frac{b}{-2}

Applying the fraction rule \frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}:

a=\frac{c-b}{-2}

Then, apply the fraction rule \frac{a}{-b} =-\frac{a}{b}

a=-\frac{c-b}{2}

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Which of the following is an equation of the line, in point-slope form, that passes through the points (-3,-1) and (6,8)?
Dimas [21]

Answer:

D.

Step-by-step explanation:

in order to choose the correct answer, it is enough to substitute the given coordinates [(-3;-1) and (-6;8)] into the equations:

A. -1-8=3(-3+6); ⇔ -9≠9; wrong

B. -1+8=-3(-3+6); ⇔ 7≠-9; wrong

C. -1+8=3(-3-6); ⇔ 7≠-27; wrong

D. (-3;-1): -1-8=-3(-3+6); ⇔ -9=-9

(-6;8): 8-8=-3(-6+6); ⇔ 0=0 - correct.

Note, the suggested way is not the only one.

PS. the given points are (-3;-1) and (<u>-6;</u>8).

5 0
3 years ago
Consider the equation of parabola y = 5x - 30x + 45.
VARVARA [1.3K]

Answer:

(3, 0 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c (a ≠ 0 )

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = 5x² - 30x + 45 ← is in standard form

with a = 5, b = - 30 , then

x_{vertex} = - \frac{-30}{10} = 3

Substitute x = 3 into the function for corresponding value of y

y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0

vertex = (3, 0 )

4 0
3 years ago
Give the domain and range. domain: (-3, 0.2}, range: 13.0.-2}
Mashutka [201]
The answer: D
Step by step: you looking at the dots looking at the lines and the numbers domain is y and rang is x
6 0
3 years ago
Please help me I need to get this done!!!
alukav5142 [94]

Answer:

y=-3x+4

Step-by-step explanation:

The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.

The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.

The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.

The final answer is y=-3x+4.

7 0
3 years ago
15 POINTS Help me out ASAP
laila [671]
It’s 1,195,742,250,000,000/5,832
5 0
3 years ago
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