All categories

3 years ago

Which statement about the equation y = 5x – 8 is correct?

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

Answer:B. The equation represents a linear function because the equation has two variables, x and y.

Step-by-step explanation:

You might be interested in

Anwser the question for brainlist

docker41 [41]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

OlgaM077 [116]

The answer is D

Hope this helps!

5 0

4 years ago

Read 2 more answers

Ms. Patterson deposits $2,575 into her bank account each month. She also withdraws the following amounts every month: . $1,029 f

Aleks04 [339]

Answer:

$9408 more than she started with

Step-by-step explanation:

The amount added to Patterson's account each month is ...

$2575 -1029 -312 -450 = $784

After 12 months, she has added ...

12 × $784 = $9408

After 12 months, Patterson has added $9408 to her account.

7 0

4 years ago

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

Identify the area of segment MNO to the nearest hundredth. HELP PLEASE!! I don't understand it!

katrin2010 [14]

Answer:

13.98 in²

Step-by-step explanation:

I don't understand it, either.

Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which <u>is not</u> an answer choice.

The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which <u>is</u> an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.

The area of a segment is given by the formula ...

A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.

Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...

A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²

Rounded to hundredths, this is ...

≈ 13.98 in²

3 0

3 years ago