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Mkey [24]
3 years ago
9

Write each equation in slope-intercept form. Identify the slope and y-intercept. Then graph the line described by the question.

(If possible please show work)

Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Equation of the line is,

y = -x + 2

By comparing this equation with,

y = mx + b

Here, m = slope of the line

b = y-intercept

Therefore, slope of the line given in the graph = (-1)

y-intercept = 2

Now we will find the table for the points lying on the line,

x       -6          -4           0           4            6

y        8           6           2          -2           -4

Now plot these points on the graph and join them to get the line.

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42x can be factored into 7(6x), and 49 is square, meaning it can be factored into 7 squared. I believe the factored expression would be 7(6x + 7) because 7 is the greatest common factor between both numbers.

3 0
3 years ago
Find the equation of a line parallel to 2x-2y=-4 that passes through the<br> point (3,9).
erastovalidia [21]

The line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

y = mx + b

where,

m = the slope of the line

b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

-2y = -4-2x

y = -4/-2 - 2x/-2

y = 2+x

y = x+2

On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

⇒ y-9 = 1(x-3)

⇒ y-9 = x-3

⇒ y = x-3+9

⇒ y = x+6

⇒ x-y = -6

Therefore, the line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Hence, x-y = -6 is the required answer.

Learn more in depth about similar problem at brainly.com/question/1884491

#SPJ1

7 0
1 year ago
A cylinder contain 150.8 cubic units of water. What is the minimum radius of a sphere that will hold the water? Round to nearest
Oksi-84 [34.3K]
70 because you would divide 150.8 by 2 and it gives you 75.4 but you have to round it and do v=4/3×3.14×70^3
6 0
3 years ago
A ladder leans against a 22-feet-tall apple tree. The base of the ladder forms a 42° angle with the ground. Approximately how ta
igomit [66]

(D) 33 feet

<u>Explanation:</u>

Given:

Height of the tree, h = 22 feet

angle, θ = 42°

Length of the ladder, l = ?

We know:

sin θ = Perpendicular / hypotenuse

So,

Sin θ = height of the tree / length of the ladder

sin 42^0 = \frac{22}{l} \\\\0.67 = \frac{22}{l} \\\\l = 32.84 feet

l = 32.84 feet ≈ 33 feet

Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.

6 0
3 years ago
The base of a triangle is 6 meters longer than the height of the triangle. If the area of the triangle is 108 square meters, wha
Nonamiya [84]

Answer:

36 meters

Step-by-step explanation:

A=1/2b×h

108sq. m=1/2.6m×h

both side canceling meter

h=2×108m/6

h=36m. answer

4 0
3 years ago
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