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2 years ago

what is the equation of a horizontal line passing through the point (−3, 8)? x = −3 y = 8 x = 5 y = −11

Mathematics

1 answer:

Blababa [14]2 years ago

5 0

Equation of a horizontal line passing through point (-3, 8) is y = 8.

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Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

3 0

2 years ago

Break apart ones to make a ten<br><br> 62 + 9 =

dsp73

Answer:

Step-by-step explanation:

I know this because 62 and 9 equal 71

7 0

3 years ago

What is the area of the parallelogram shown

777dan777 [17]

Answer: 308in^2

Explanation:

Area = 22 x 14
A = 308

4 0

3 years ago

The midpoint of overline text AB M(−5,−2). If the coordinates of A are (−3,4), what are the coordinates of B?

iren2701 [21]

Answer:

B: (-7, -8)

Step-by-step explanation:

If the midpoint of (-3, 4) is (-5, -2), then the difference in x is 2, and the difference in y is 6. So to get from the midpoint to b, you have to add two to the x value, and add 6 to the y value. This gets us to the point (-7, -8).

*Hope this helped! : )*

5 0

3 years ago

Write x ² +6X = -5 in general form

Leto [7]

Answer:

X^2+6x+5=0

Step-by-step explanation:

Ax+By+C=0 is what you follow for getting the general form. In this case, you go from descending order and x^2 is the highest point/degree. Therefore, x^2+6x+5=0. Hope this helps!

6 0

2 years ago