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3 years ago

What function is represented by a line with slope -2 that passes through the point (0,4)

1 answer:

7 0

We can write the function in slope-intercept form (y + mx + b). Since we have the slope, we can solve for the y-intercept.

y = -2x + b

4 = -2(0) + b

4 = b

Input the data we have now.

y = -2x + 4

Since we are dealing with a function switch out the y for f(x)

f(x) = -2x + 4

Best of Luck!

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klio [65]

Answer:

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Step-by-step explanation:

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3 years ago

Which of the following triangles are impossible to draw? Choose all that apply.

Luda [366]

These triangles are impossible:

a triangle with sides of 3 inches, 4 inches, and 8 inches
(the longest side is greater than the sum of the other 2 sides)

an obtuse equilateral triangle
(all angles in an equilateral triangle are acute)


a triangle with two right angles
The angles of ALL triangles must sum exactly to 180 degrees. Two right angles sum to 180 degrees so the third angle would have to be zero degrees.

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3 years ago

Read 2 more answers

Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle?

kumpel [21]

Answer:

The equation that represents the circle is $(x-14)^{2}$ + $(y-9)^{2}$ = 13

Step-by-step explanation:

Given the center of circle (14,9) passes through point (16,12)

We know that the equation of circle is

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

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

From given data (x,y) is (16,12) and (h,k) is (14,9). Substituting these values in equation of circle, we get

$(16-14)^{2}$ + $(12-9)^{2}$ = $r^{2}$

$r^{2}$ = $2^{2}$ + $3^{2}$

$r^{2}$ = 13

Substituting the values of (h,K) and $r^{2}$ as (14,9) and 13 respectively in equation of circle, we get

$(x-14)^{2}$ + $(y-9)^{2}$ = 13

Hence the equation that represents the circle is $(x-14)^{2}$ + $(y-9)^{2}$ = 13

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3 years ago

Suppose that we have constructed a 95% confidence interval for the true mean salary of graduating business majors: (50k, 70k). B

slava [35]

Answer:

d. 60k

Step-by-step explanation:

The sample mean is the midpoint between the lower and the upper limit of the confidence interval, that is, the sum of the lower and the upper limit divided by 2.

In this problem, we have that:

Lower limit: 50k

Upper limit: 70k

(50k + 70k)/2 = 60k

So the correct answer is:

d. 60k

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3 years ago

What is the value of x? Round the answer to the nearest tenth

arsen [322]

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.

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