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slavikrds [6]
3 years ago
9

The vertices of a triangle are P(4, 7), Q8, -1), and R(-9, 6). What are the vertices of the image reflected across the x-axis?

Mathematics
1 answer:
natita [175]3 years ago
8 0

Answer:

D.)

Step-by-step explanation:

Reflecting an image/shape over the x axis is reflecting it over a horizontal line, so the x coordinates will stay the same and the y coordinates will be the opposite. Therefore, the answer is D. Hope this helps!

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What is the slope-intercept form of (-2,1) and (4,6)
mash [69]

Answer:

y = \frac{5}{6} x + \frac{8}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)

m = \frac{6-1}{4+2} = \frac{5}{6} , thus

y = \frac{5}{6} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6 ), then

6 = \frac{20}{6} + c ⇒ c = 6 - \frac{20}{6} = \frac{16}{6} = \frac{8}{3}

y = \frac{5}{6} x + \frac{8}{3} ← equation of line

4 0
3 years ago
The diameter of a volleyball is 8.15 inches. What is the volume of the ball, rounded to the nearest hundredth?
Nana76 [90]
<span>So we want to know the volume V of the volleyball if we know the diameter d=8.15 inches and we need to round it to the nearest hundreth. The volume of a volleyball is V=(4/3)r^3*pi, and since 2 radius are equal to the diameter we need to get the radius, so 2r=D and r=D/2 or r=4.075 inches. Now we get the volume after inputting the numbers: V=283.303032 inches^3. Rounded to the nearest hundreth: V=283.30</span>
7 0
3 years ago
Read 2 more answers
What is the equation in slope-intercept from of the line that passes through the points (-4,47) and (2,-16
Harrizon [31]

Answer:

<h3>Y=-21/2x+5</h3>

Step-by-step explanation:

<u><em>SLOPE FORMULA:</em></u>

y₂-y₁/x₂-x₁=rise/run

<u><em>SLOPE-INTERCEPT FORM:</em></u>

y=mx+b

m represents the slope.

b represents the y-intercept.

y₂=(-16)

y₁=47

x₂=2

y₁=(-4)

Solve.

\displaystyle \mathsf{\frac{(-16)-47}{2-(-4)}=\frac{21}{6}=\frac{21}{2}=-\frac{21}{2}   }}

Furthermore, the y-intercept is 5.

y=-21/2x+5

The correct answer is y=-21/2x+5.

6 0
3 years ago
Solve for x.<br><br><br>9x+4≤58 or 16x−2&gt;3<br><br><br> x 30<br><br> x 30
Brrunno [24]

Answer:

wow

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of the following is the correct ratio for converting kilograms to grams
Brrunno [24]

Answer:

1000 Grams : 1 Kilogram or 1 Kilogram : 1000 Grams

Step-by-step explanation:

In the metric system the value of a kilogram is solved like:

Kg = \frac{g}{1000}

When converting from grams to kilograms, we solve it like:

g = \frac{kg}{0.0010000}

Let's take for example:

2 KG is how many grams?

We use the grams to kilograms formula like so:

g = \frac{2}{0.0010000}

Then we end up with:

g = 2000

6 0
3 years ago
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