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3 years ago

11

What value of x makes the equation true? 4x - 3= -9 + 7x Question 2 options: 2 -2 12 −12

1 answer:

ale4655 [162]3 years ago

3 0

4x2 - 3 = 5
-9 + 7x2 = 5

2 is the correct answer

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Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

3 years ago

I watch television from 5 o clock until half past. How long do I watch for?I watch television from 5 o clock until half past. Ho

Blababa [14]

Answer:

30 minutes

Step-by-step explanation:

8 0

2 years ago

9. Find the volume of the triangular pyramid. (2pts)-10 mI9 m16 m

Makovka662 [10]

Answer:

240 m³

Explanation:

The volume of a pyramid is equal to:

$V=\frac{1}{3}\times B\times H$

Where B is the area of the base and H is the height of the pyramid.

Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

$B=\frac{b\times h}{2}$

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

$B=\frac{16\times9}{2}=\frac{144}{2}=72m^2$

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

$V=\frac{1}{3}\times72\times10=\frac{1}{3}\times720=240m^3$

Therefore, the volume is 240 m³

4 0

1 year ago

Write an equation of the line with the given properties. Your answer should be written in standard form.

Vanyuwa [196]

Given:

The slope of the line is m=0.

The line passes through the point P(-9,-3).

To find:

The equation of the line in standard form.

Solution:

Standard form of a line is:

$Ax+By=C$

The slope intercept form of the line is

$y-y_1=m(x-x_1)$

Where, m is the slope and $(x_1,y_1)$ is the point on the line.

It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is

$y-(-3)=0(x-(-9))$

$y+3=0$

$y=-3$

Therefore, the standard form of the given line is $y=-3$ .

7 0

3 years ago

Find the x-intercept of the graph of the linear equation y = 2x + 4.

Tamiku [17]

Answer:

The x-intercept is -2

Step-by-step explanation:

4 0

3 years ago

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