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3 years ago

Find the point where the line crosses the x-axis. y = –5x + 5

1 answer:

8 0

Every point on the x-axis has y-coordinate 0.
Let y = 0, and solve for x.

y = -5x + 5

0 = -5x + 5

5x = 5

x = 1

The line crosses the x-axis at x = 1.

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Step-by-step explanation:

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3 years ago

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3 years ago

Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form?

777dan777 [17]

$-3(x^{2} +5x+10)$ is the standard form of the given expression

The given expression is:

$=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)$

This is the standard form of the given expression.

Learn more about Simplifying expression here brainly.com/question/723406

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2 years ago

Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?

maw [93]

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

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3 years ago

The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

Anna007 [38]

Answer:

21 cm

Step-by-step explanation:

Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.

The right triangles formed by the altitude are all similar to the original. That means ...

AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant

Multiplying by AB and substituting the given numbers, we get ...

AD = AB²/AC = 10²/25

AD = 4

Then the segment DC is ...

DC = AC -AD = 25 -4

DC = 21 . . . . . centimeters

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3 years ago