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3 years ago

Question #8

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

Answer:

4(x + y) +5=32

Step-by-step explanation:

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Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

Step-by-step explanation:

Given two points are:

$(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)$

Slope intercept form of line is given as:

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Putting the values

$m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}$

Putting the value of slope in slope-intercept form we get

$y = \frac{1}{2}x+b$

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

$4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2$

Putting the value of b

$y = \frac{1}{2}x-2$

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

4 0

3 years ago

Solve for x. x + 8 = -15

anygoal [31]

1. Subtract 8 from both sides
2. Simplify to get x= -23

5 0

3 years ago

Solve for x and explain the steps in your answer. Please Help :/

Solnce55 [7]

I believe the answer is -25/6 :)

7 0

3 years ago

What is the value of x in the equation 0.7 x - 1.4 = -3.5

Daniel [21]

Answer:

x=12.5

Step-by-step explanation:

0.7x times (-1.4)=-3.5

-0.28x=-3.5 (divide both sides)

Ans:12.5

4 0

3 years ago

Find all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π.

jarptica [38.1K]

Hello :
 sin 2x = sin x and 0 ≤ x ≤ 2π.
all solutions :
2x= x +2kπ or x= π -x +2kπ ..... k in : Z
x = 2kπ or : x = π/2 + kπ
but :
0 ≤ x ≤ 2π
all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π are :
k = 0 : x=0 , x= π/2
k=1 : x=2 π , x=3π/2

5 0

3 years ago