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2 years ago

What is the answer to 8/? + 5/? = 7/?

Mathematics

1 answer:

disa [49]2 years ago

7 0

Step-by-step explanation:

well, the first solution that comes to my mind is :

8/4 + 5/1 = 7/1

2 + 5 = 7

the reason : the only numerator I can "cut" into integer pieces is 8.

5 and 7 are prime numbers.

so, it tried to keep 5 and 7 whole, and then add a part of 8 to make this equation true. and that worked right away.

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How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

$= \frac{5 - ( - 1)}{ - 2 - 2}$

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

$= - \frac{3}{2}$

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$

Midpoint of given line

$= ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )$

$=( \frac{0}{2} , \frac{4}{2} )$

= (0, 2)

$y = \frac{2}{3} x + c$

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is $y = \frac{2}{3} x + 2$ .

7 0

3 years ago

The point C(5, 4) is translated 9 units down.

Naily [24]

Answer:

The new point is at (5, -5)

Step-by-step explanation:

When a point is being translated down, they are being subtracted on the y-value. So all you have to do is subtract 9 from 4 and we end up with -5, our new y-value.

(5, -5)

3 0

3 years ago

Read 2 more answers

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r

antoniya [11.8K]

The function is $h(t) = -16t^2 + 80t + 224$ , and according to the description of the function in the problem statement, we have the following:

at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:

$h(0) = -16(0)^2 + 80(0) + 224=0+0+224=224$ (ft), which is the initial height, as expected.

At t=1 (sec), the height would be $h(1) = -16(1)^2 + 80(1) + 224=-16+80+224=288$ .

etc.

The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.

This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.

Answer: B) 7 sec

6 0

3 years ago

Read 2 more answers

In the diagram, m<3=x+30 and m<4=2x-80

larisa [96]

Do you have a picture of the diagram?

3 0

3 years ago

Pl help I will give you Brainly

elixir [45]

Answer:

The fourth one.

Step-by-step explanation:

I am pretty sure.

7 0

3 years ago