If 7x=49, what is x?

Could anyone tell me if I’m right. This is a gradient of a line question

pshichka [43]

Answer:

See Below (it is correct)

Step-by-step explanation:

First point given ---- A(-3,0)

2nd point given ----- B(4,0)

The slope is the "change in quantity y" divided by "change in quantity x"

The change would be from 2nd point to 1st point. So,

Change in quantity y is 0 - 0 = 0

Change in quantity x is 4 - (-3) = 4 + 3 = 7

So, slope would be:

Slope = 0/7 = 0

The slope is 0 (which means it is a horizontal line)

3 0

3 years ago

Two angles are complementary. One angle is x and the other is 50 more than the first angle.

iren [92.7K]

X=40
Complementary=90 degrees
50+x=90
-50 -50
X=40

6 0

3 years ago

Read 2 more answers

Find an equation for the perpendicular bisector of the line segment whose endpoints are

Andrew [12]

The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + 2

Step-by-step explanation:

Let us revise the relation between the slopes of perpendicular lines

The product of the slopes of two perpendicular lines is -1
That means if the slope of one of them is m, then the slope of the other is $-\frac{1}{m}$
You reciprocal the slope of one and change its sign to find the slope of the other

The mid point of a segment whose endpoints are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

The perpendicular bisector of a line is the line that intersect it in its mid-point and formed 4 right angles

∵ The end point of a given line are (9 , -3) and (-5 , -7)

∴ $x_{1}=9$ and $x_{2}=-5$

∴ $y_{1}=-3$ and $y_{2}=-7$

- Find the slope of the line by using the rule of the slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ $m=\frac{-7-(-3)}{-5-9}=\frac{-7+3}{-14}=\frac{-4}{-14}=\frac{2}{7}$

∴ The slope of the given line is $\frac{2}{7}$

To find the slope of the perpendicular bisector of it reciprocal it and change its sign

∴ The slope of the perpendicular bisector = $-\frac{7}{2}$

∵ The form of the linear equation is y = mx + b, where m is the

slope and b is the y-intercept

- Substitute the value of m in the equation

∴ The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + b

To find b substitute x and y in the equation by a point on the line

∵ The perpendicular bisector of the given line intersect it at

its midpoint

- Find the mid-point of the given line busing the rule above

∵ $x_{1}=9$ and $x_{2}=-5$

∵ $y_{1}=-3$ and $y_{2}=-7$

∴ The mid-point of the given line = $(\frac{9+(-5)}{2},\frac{-3+(-7)}{2})=(\frac{4}{2},\frac{-10}{2})=(2,-5)$

Point (2 , -5) is also lies on the perpendicular line

∴ x = 2 and y = -5

- Substitute them in the equation

∵ -5 = $-\frac{7}{2}$ (2) + b

∴ -5 = -7 + b

- Add 7 to both sides

∴ 2 = b

- Substitute the value of b in the equation

∴ The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + 2

The equation of the perpendicular bisector is y = $-\frac{7}{2}$ x + 2

Learn more:

You can learn more about the linear equation in brainly.com/question/11223427

#LearnwithBrainly

8 0

3 years ago

Pls help!I have trouble with this but ik everything is supposed to add up to 360 degrees

Ratling [72]

Because each of these angles are 90 degrees, we know they're each equal to each other.

Let's find the value of the variable y first.

We can use 5y - 17 = 2y + 50 to find the value of y.

5y - 17 = 2y + 50

-2y from both sides

3y - 17 = 50

+17 to both sides

3y = 67

Divide both sides by 3

y = 22.33

Now we need to find the value of x.

x + 44 = 7x - 248

-x from both sides

44 = 6x - 248

+248 to both sides

292 = 6x

Divide both sides by 6

x = 48.67

And there's your variables.

y = 22.33

x = 48.67

3 0

4 years ago

How far above ground is the flag pole in inches? Round to nearest inch if needed

VikaD [51]

Answer:

Step-by-step explanation:

You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:

$\frac{3}{x} =\frac{1.25}{6}$

The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:

1.25x = 18 so

x = 14.4 feet, or 14 feet, 4.8 inches

4 0

3 years ago