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3 years ago

Need help pls answer asap. Sorry the photo quality is bad.

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

Step-by-step explanation:

1 + 3 = 4

so find the point 1/4 of the way from (-1, 2) to (7, 8)

x coordinate

Δx = ¼(7 - (-1)) = 2

x = x₀ + Δx

x = -1 + 2 = 1

y coordinate

Δy = ¼(8 - 2) = 1½

y = y₀ + Δy

y = 2 + 1½ = 3½

(1, 3½)

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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

I the cafeteria there are 7 teachers 48 girls and 45 boys. What is the probability that a person chosen at random from the cafet

mr Goodwill [35]

Total people in the cafeteria = 7 + 48 + 45 = 100

There are 45 boys.

The probability would be the number of boys over the total number of people:

45/100, which simplifies to 9/20

7 0

3 years ago

Read 2 more answers

(2/5,-2/5),(-7/8,-3/5)

Misha Larkins [42]

Answer: (-19/80, -1/2)

Step By Step Explanation:

First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.

3 0

4 years ago

What is exponential functions

sp2606 [1]

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function.

3 0

3 years ago

What is the value of the expression when y = 24? **Twelve less that eight times y.

vfiekz [6]

answer: 180

Step-by-step explanation:

8y-12

plug in the variable

8 (24) - 12

192-12

180

6 0

4 years ago