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3 years ago

Expand to write an equivalent expression: -1/4(-8x+12y)

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

2x-3y

Step-by-step explanation:

To expand this expression, use the distributive property.

$-\frac{1}{4}(-8x+12y)$

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

$(-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)$

Multiply -1/4 and -8x first.

$((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)$

$2x+(-\frac{1}{4} *12y)$

Next, multiply -1/4 and 12y.

$2x+ ((-\frac{1}{4} *12)y)$

$2x+ -3y$

A +- becomes a -

$2x-3y$

dalvyx [7]3 years ago

3 0

Answer:

8x -12

Step-by-step explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.

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Explain why triangle ACF is a 30-60-90 degree triangle.

Firlakuza [10]

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3 years ago

Read 2 more answers

he temperature at noon on a winter day was 2 °F. By 6 p.m., the temperature had dropped to −9 °F. Write a subtraction expression

nydimaria [60]

Based on the starting temperature and the new temperature, the relevant expression would be<u> 2 - (-9) </u>

To find the number of degrees the temperature has changed by, use the following equation:

<em>= Starting temperature - Current temperature </em>

Starting temperature = 2°F

Current temperature = -9°F

The equation becomes:

In conclusion, the expression would be 2 - (-9)

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2 years ago

Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Digiron [165]

Answer:

$(x+2)^2+(y-4)^2=16$

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is $4$ .

We know that the circle is tangent to the $X$ axis at $(-2,0)$

That means the x coordinate of the center has to be $-2$ , as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is $(-2, 4)$ and a point on the edge of the circle (the tangent point) which is $(-2,0)$ . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. When we put the numbers in: we get $(x-(-2))^2+(y-(4))^2=4^2$ which can be simplified into $(x+2)^2+(y-4)^2=16$ which is the answer.