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Sindrei [870]
3 years ago
5

The perimeter of the rectangle below is 94 units. Find the length of side BC.

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

Length BC = 26

Step-by-step explanation:

Perimetre = 94

; Perimetre = 2(2x + 3) + 2(3x - 1)

; 94 = 4x + 6 + 6x - 2

; 94 - 4 = 10x

; 90 = 10x

;Therefore the value of x = 9....Hence the length of BC

BC = 3(9) - 1

; BC = 26

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Answer:

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: (y_2-y_1)/(x_2-x_1). Plugging in the values (-2,0) and (2, -4), we get:

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  • -4/4
  • -1

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula: b = y_1 - m * x_1

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Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

  • y = mx +b
  • y = -x -2

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

8 0
3 years ago
Read 2 more answers
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
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Step-by-step explanation:

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3 years ago
A right square pyramid with base edges of length $8\sqrt{2}$ units each and slant edges of length 10 units each is cut by a plan
seropon [69]

Answer:

32 unit^{3}

Step-by-step explanation:

Given:

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Now we use  Pythagoras to get the slant height in the middle of each triangle:

\sqrt{10^{2 - (4\sqrt{2} ^{2} }) } = \sqrt{100 - 32} = \sqrt{68}  units

One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.

\sqrt{68-(4\sqrt{2} ^{2} )} = \sqrt{68 - 32} = 6 units.

Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:

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So the volume of it is:

V  = 1/3 *3* 4\sqrt{2}

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5 0
3 years ago
Which fraction and decimal forms match the long division problem?
kolbaska11 [484]

Answer:

Option B and D .....

If the provide option is correct

Or else it should be 7/9 and 0.777

mark me as brainliest ❤️

4 0
3 years ago
19 points please hurry
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Answer:

i think the answer is b give me brainliest please

Step-by-step explanation:

5 0
3 years ago
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