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lozanna [386]
2 years ago
10

A point at (15, 42) is reflected over the x-axis. What are the coordinates of the reflected point? Enter your answer by filling

in the boxes. ( , )
Mathematics
1 answer:
schepotkina [342]2 years ago
5 0

Answer:

(15, -42)

Step-by-step explanation:

Reflect Over X-Axis Formula

The following formula is used to reflect a coordinate point about the x-axis.

(X2,Y2) = (X1,Y1) * (1,-1)

Where X2 and Y2 are the new reflected coordinates

X1 and Y1 are the original coordinate points

Reflect Over X-Axis Definition

Reflection over the x-axis is the process of producing a coordinate point that is mirrored across the x-axis of the coordinate plane. That is it has the same X coordinate and opposite y4 coordinate.

Reflect over X-Axis Example

How to reflect over the x-axis?

First, determine the original coordinate points.

For this example, we will say the coordinate points are (4,5).

Next, calculate the new coordinate points.

Using the formula above we calculate the new reflected points as (4,5)*(1,-1) = (4,-5).

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What is the slope of the line ?
atroni [7]

Answer:

-2\frac{2}{3}

Step-by-step explanation:

The line passes through points (1,4) and (4,-4)

Slope (m) = change in y ÷ change in x

i.e m = \frac{-4 - 4}{4 - 1} = \frac{-8}{3} = -2\frac{2}{3}

8 0
3 years ago
A number x increased by 4 is less than -18
Bond [772]

x + 4 < -18

x < -18 - 4

x < -22

x is less than -22

5 0
3 years ago
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing
3241004551 [841]

Answer:

<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be x.

And the pints of 20% butterfat be y.

<em>So, the total pints of milk:</em>

x+y=1000

x=1000-y  ......(1)

<em>As, given:</em>

<em>1,000 pints of milk that contains 8% butterfat.</em>

<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>

According to question:

5(x)+20(y)=8(1000)

5x+20y=8000

Substituting the value of x from equation (1):

5(1000-y)+20y=8000

5000-5y+20y=8000

5000+15y=8000

<em>Subtracting both sides by 5000 we get:</em>

15y=3000

<em>Dividing both sides by 15 we get:</em>

y=200.

<em>The pints of 20% butterfat = 200 pints.</em>

Now, to get the pints of 5% butterfat we put the value of y in equation (1):

x=1000-y

x=1000-200

x=800.

<em>The pints of 5% butterfat = 800 pints.</em>

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

8 0
3 years ago
Find how many two digit numbers are divisible by 3
Bad White [126]

I'll use arithmetic series to find it.

First two-digit number divisible by 3 is 12, last such number is 99. Every 3rd number is divisible by 3.

So,

a_1=12\\a_n=99\\d=3\\n=?\\\\a_n=a_1+(n-1)\cdot d\\99=12+(n-1)\cdot 3\\3n-3=87\\3n=90\\n=30

<u>There are 30 such numbers.</u>

7 0
3 years ago
I need help asapp...
prohojiy [21]

The value of b is -16 and the value of ac is 60 after comparing with the standard equation.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

We have a quadratic function:

= 3x² - 16x + 20

On comparing with standard function:

b = -16

a = 3

c = 20

ac = 3(20) = 60

Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

3 0
2 years ago
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