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3 years ago

A line passes through the point (2, 1) and has a slope of -5/2

Mathematics

1 answer:

Makovka662 [10]3 years ago

8 0

Answer:

$y = -\frac{5}{2}x +6$

Step-by-step explanation:

Given

$m = -\frac{5}{2}$ -- slope

$(x_1,y_1) = (2,1)$ --- point

Required

Determine the line equation

In slope intercept form, a line equation is:

$y - y_1 = m(x - x_1)$

This gives:

$y - 1 = -\frac{5}{2}(x - 2)$

Open bracket

$y - 1 = -\frac{5}{2}x +5$

Add 1 to both sides

$y - 1+1 = -\frac{5}{2}x +5+1$

$y = -\frac{5}{2}x +6$

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Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is

Nina [5.8K]

Answer:

The length of Due to the accuracy of the tape measure Avani used, the play area is 7.5 meters. The width of the play area is the amount of foam needed to cover the play area is 5.3 meters.

Step-by-step explanation:

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2 years ago

PLS HELP!!

schepotkina [342]

Option a: Quadratic expression

Explanation:

The expression is $-2x^{2} +11$

Option a: Quadratic expression

The quadratic expression is an expression in which the highest power or degree of a variable is 2.

Thus, from the expression $-2x^{2} +11$ the highest power of the variable is 2.

Hence, the expression is quadratic

Option a is the correct answer.

Option b: Linear expression

The linear expression is of the form $y=mx+b$

Since, the expression $-2x^{2} +11$ is not of the form $y=mx+b$ , it is not a linear expression.

Hence, Option b is not the correct answer.

Option c: Cubic expression

The cubic expression is an expression in which the highest power or degree of a variable is 3.

Since, the expression $-2x^{2} +11$ does not have the highest power 3, it is not a cubic expression.

Hence, Option c is not the correct answer.

Option d: Exponential expression

The exponential expression indicates the number of times the base is used as a factor.

Since, the expression $-2x^{2} +11$ does not indicates the number of times the base is used as a factor, it is not exponential expression.

Hence, Option d is not the correct answer.

3 0

3 years ago

Surface area of cylinder

steposvetlana [31]

Answer:

The answer is C. $256\pi$ $in^2$ .

Step-by-step explanation:

To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is $SA=2\pi rh+2\pi r^{2}$ . Next, plug in the information given from the problem into the formula, which will look like $SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})$ . Then, simplify the equation, which will look like $SA=(128in)(\pi) +(128in)(\pi)$ . The next step is to simplify the equation further, which will look like $SA= 256\pi$ $in^{2}$ . The final answer is $256 \pi$ $in^2$ .

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3 years ago

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Mademuasel [1]

Answer:

2 1/4

Step-by-step explanation:

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3 years ago

Scott is saving coins in a jar. Last week, the jar was 1/4 full. This week, he added more coins, and the jar is now 1/2 full. Ho

Leona [35]

Answer:

Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.

Let me know if this helps!

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3 years ago

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