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timurjin [86]
3 years ago
12

Someone please help me. Thank you!

Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

Answer:

y = -1/2x

Step-by-step explanation:

Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.

Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b   <u>into</u>   y = mx + 0. Since it's 0, let's just <em>drop</em> it out of our equation.

So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x

It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.

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Could someone help me solve this problem?
Ann [662]

Answer:

\boxed{x=58} & \boxed{m \angle C = 60}

Step-by-step explanation:

You need to find x first in order to find the measure of angle C. To solve for x, we will use the fact that interior angles of a triangle have angle measurements that add up to 180 degrees.

Using this knowledge, we can create an equation where angles A, B, and C add up to equal 180.

  • A+B+C=180
  • (x+4)+(x)+(x+2)=180

Combine like terms on the left side of the equation.

  • 3x + 6 = 180

Subtract 6 from both sides of the equation.

  • 3x=174

Divide both sides of the equation by 3.

  • x=58

Now that you've found the value of x, you can use this value to plug into the expression for angle C.

  • C=x+2
  • C=(58)+2
  • C=60

Therefore, the final answer is:

x=58\  \text{and} \ m \angle C = 60

4 0
3 years ago
Read 2 more answers
HELPPPPPP ASAPPPPPP!!!!
Dennis_Churaev [7]

Answer:

6.96cm^2

Step-by-step explanation:

Area of triangle:

Base*height/2

5.8*2.4/2

Area = 6.96cm^2

5 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the given points.<br> (0,5) and (-2,-4)
Sati [7]

Answer:

y=\frac{9}{2}x+5

Step-by-step explanation:

To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:

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

where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.

By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:

y=\frac{5-(-4)}{0-(-2)}=\frac{9}{2}

So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Pugging in 9/2 for m and 5 for b we get:

y=\frac{9}{2}x+5

which would be our equation.

I hope this helps. Happy studying.

3 0
4 years ago
Jamal finish 5/6 of his homework margaret finished 3/4 of her homework and steave finish 10/12 of his homework which two student
postnew [5]
Jamal and Steave finished the same amount of homework
4 0
3 years ago
Read 2 more answers
You invest $1200 and it grows at a rate of 7% for 5 years. Which expression gives the value of your investment?
finlep [7]

The expression gives the value of your investment is A=1200(1.07)^{5}

The value of investment after 5 years is $ 1683.06

<em><u>Solution:</u></em>

Given that You invest $1200 and it grows at a rate of 7% for 5 years

To find:  Expression that gives the value of your investment

From given information,

Principal = $ 1200

rate of interest = 7 %

number of years = 5 years

The formula for compound interest, including principal sum, is:

A=p\left(1+\frac{r}{n}\right)^{n t}

Where,

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Assuming interest is compounded annually, n = 1

r = 7 \% = \frac{7}{100} = 0.07

Substituting the values we get,

A=1200\left(1+\frac{0.07}{1}\right)^{1 \times 5}

\begin{aligned}&A=1200\left(1+\frac{0.07}{1}\right)^{1 \times 5}\\\\&A=1200(1.07)^{5}\\\\&A=1200 \times 1.402=1683.06\end{aligned}

Thus the value of investment after 5 years is $ 1683.06

7 0
4 years ago
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