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Scorpion4ik [409]

3 years ago

15

What is the best name for the figure with the following coordinates? (4, 1), (1, 1), (3, –2), and (0, –2) A. rectangle B. square

C. trapezoid D. parallelogram

2 answers:

Bogdan [553]3 years ago

8 0

I think the answer would be c

Juli2301 [7.4K]3 years ago

4 0

The answer is C. lol draw it yourself you'll see.

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Homer wants to identify the center and radius of the circle defined by the equation x2 + y2 - 14x +

Klio2033 [76]

Homer has made mistake in step 2

When you complete the square, you need to add the values to both sides of equation

<em><u>Solution:</u></em>

<em><u>Given equation of circle:</u></em>

$x^2 + y^2 -14x + 2y -25 = 0$

Let us first calculate center and radius and find out where he did the mistake

<em><u>Step 1:</u></em>

Group the terms

$x^2 -14x + y^2 + 2y = 25\\\\(x^2 -14x) + (y^2 + 2y) = 25$

<em><u>Step 2:</u></em>

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25 + 49 + 1$

But homers step 2 is:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25$

So homer has made mistake in this step

When you complete the square, you need to add the values to both sides of equation

But homer did not add 49 and 1 to right side of equation

Correct steps are:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 75\\\\(x-7)^2 + (y+1)^2 = 75$

Comparing general equation of circle,

$(x-h)^2 + (y-k)^2 = r^2$

Therefore, center is ( 7, -1) and radius is 8.66

8 0

3 years ago

Of the options below select the one/ones that represent a unit rate:

nekit [7.7K]

A I think I’m not 100 sure

4 0

3 years ago

Suppose a college student pays $750 for tuition fees. However, she also has to pay $300 for her textbooks (ouch!). What percent

Shalnov [3]

Answer:

Total costs = $700 + $300 = $1000.

$300 / $1000 = 0.3 = 3%

Step-by-step explanation:

3 0

3 years ago

The length of each side of a cube is x cm. If x is an interference,why can’t the volume of the cube equal 15 cm

slamgirl [31]

we don't know what the value of "X" is, so therefore, we cannot conclude that it is 15 cm.

5 0

3 years ago

Need help with problems 16 and 17, please? I'll do brainiac

natali 33 [55]

Answer: 16) y=-0.5x+3 and 17) y=2x-3

Step-by-step explanation:

16: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.

Since y=3 at x=0, the y-intercept is (0,3), and b=3.

Slope= $\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$ where ( $x_{1} ,y_{1}$ ) and ( $x_{2} ,y_{2}$ ) are two points on the line. Choose (0,3) and (2,2):

Slope= $\frac{2-3}{2-0}$ =-0.5

Plug m=-0.5 and b=3 into y=mx+b:

y=-0.5x+3

17: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.

Because y=-3 at x=0, the y-intercept is (0,-3), and b=-3.

Slope= $\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$ where ( $x_{1} ,y_{1}$ ) and ( $x_{2} ,y_{2}$ ) are two points on the line. Choose (0,-3) and (1,-1):

Slope= $\frac{-3-(-1)}{0-1}$ = $\frac{-2}{-1}$ =2

Plug m=2 and b=-3 into y=mx+b:

y=2x-3

5 0

3 years ago