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Arturiano [62]
3 years ago
15

Given the midpoint (1.5,1.5) and the endpoint (5,7) where is the other endpoint located

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

The formula of a midpoint:

M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)

We have:

M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7

Substitute

\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4

<h3>Answer: (-2, -4)</h3>
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The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form?
Yuki888 [10]

Answer:

x + 5y - 25 = 0

Step-by-step explanation:

Equation of line in slope intercept form is given as:

y =  mx + b \\  \\ plug \: m =   - \frac{1}{5}  \:  \: and \:  \: b = 5 \\  \\ y = -   \frac{1}{5} x + 5 \\  \\ 5y =  - x + 25 \\  \\ x + 5y - 25 = 0

4 0
3 years ago
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PLSSSS HELP<br><br> Find the intersection of the circle x^2+ y^2 = 29 and y = x - 3 algebraically,
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3 years ago
I can someone evaluate this I don’t understand? Question: 8. Evaluate the piecewise-defined function at the indicated inputs.
enot [183]

Answer:

6

Step-by-step explanation:

Your function is split into 4 parts.

We want to use the piece that includes x=6.

This only included in the inequality that says x is greater than or equal to 5. Since that is, we use the expression that corresponds to that to find f(6).

f(6)=2(6)-6

f(6)=12-6

f(6)=6

4 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the point (-2,1) and is perpendicular to the equation
blondinia [14]
Let's convert the equation into slope-intercept form.

3x + 18y = 4
Subtract 3x from both sides.
18y= -3x + 4
Divide both sides by 18.
y = -3/18x + 4/18
Simplify.
y = -1/6x + 2/9

To make a line perpendicular, we need the slope to be the reciprocal of the other. Flip the denominator and numerator, and change the sign. We also have to change the b to make the line go through (-2, 1)

-1/6 to +6/1, or 6.

y = 6x + b

Input the x and y values and solve for b.

1 = 6(-2) + b
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y = 6x + 13
5 0
3 years ago
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
dexar [7]

Answer:

2h-2=92 and h-2=92-h.

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

 

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.

5 0
3 years ago
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