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1 year ago

13

Quick will give brainlyest. What is the distance between points A and B? Use absolute value to explain your answer.

1 answer:

Black_prince [1.1K]1 year ago

5 0

Answer:

Step-by-step explanation:

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Is x a solution to 80<-9x+8

saveliy_v [14]

Answers: $x$

1. Switch sides

$-9x+8>80$

2. Subtract by 8 from both sides of equation.

$-9x+8-8>80-8$

3. Simplify.

$-9x>72$

4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).

$(-9x)(-1)$

5. Simplify.

$9x$

6. Then you had to divide by 9 from both sides of equation.

$\frac{9x}{9}< \frac{-72}{9}$

7. Simplify.

$\frac{9x}{9}=x$

8. Divide by the numbers.

$\frac{9}{9}=1$

$=x$

$\frac{-72}{9}=-8$

9. Divide by the numbers.

$\frac{72}{9}=8$

$=-8$

$x$

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3 0

2 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

2 years ago

Can anyone solve this?

Serhud [2]

Answer:

A) 96 cm

Step-by-step explanation:

Split into three parallelograms

Shape 1: 6 by 7 6×7=42

Shape 2: 3 by 4 3×4=12

Shape 3: 6 by 7 6×7=42

42+12+42=96

6 0

1 year ago

Read 2 more answers

What is the greatest common factor of 12 and 36

konstantin123 [22]

12 is a factor of 36 and of course 12, so

Answer: 12

4 0

2 years ago

Read 2 more answers

A car drives 50 miles in 40 minutes. how many miles does the car travel per minute

Anarel [89]

50 divided by 40 equals 1.25! So the car is going 1.25 mph

7 0

2 years ago