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oee [108]
2 years ago
15

5. The points (4, 1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of

Mathematics
1 answer:
Rzqust [24]2 years ago
8 0

\frac{1 + 6}{x - 4}  = 1

x - 4 = 7

x = 11

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Please HELP ME ON THIS MATH WRITTEN RESPONSE QUESTION.. THANK YOU
sergij07 [2.7K]

Answer:

Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.

Step-by-step explanation:

Point A is (-4,6)

Point B is (-12,-12)

Point C is (6,-18)

Point D is (13,-1)

Given that the diagonals of a square are perpendicular to each other;

We know that the product of slopes of two perpendicular lines is -1.

So, slope(m) of AC × slope(m) of BD should be equal to -1.

Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4

Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44

The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056

Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.

4 0
3 years ago
A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does he need to run to finish the race? Show your rea
lesantik [10]

Answer: 8.808 kilometers

Step-by-step explanation: have a good night :)

7 0
2 years ago
Becky has one piece of paper. She cuts the paper in half and then has two pieces. She cuts these in half to get four pieces. The
garri49 [273]
C.) p(1) = 1; p(n) = p(n-1) + 1
8 0
3 years ago
Read 2 more answers
What value of x makes this equation true? -90=-100+X
WARRIOR [948]

Answer:

-90=-100+x

-90+100=x

x=10

hence 10 is that value whose satisfy this equation

Step-by-step explanation:

7 0
1 year ago
The area of a rectangular wall of a barn is 108 square feet. Its length is 12 feet longer than the width. Find the length and wi
forsale [732]
Area = Width x Length
Area = 108
Square root of 108 = 10.4

108/ 9 = 12      ...12 is not 12 larger than 9
108/ 6 = 18      ...18 is 12 larger than 6

108 = 6 x 18

Width = 6
Length = 18
8 0
2 years ago
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