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2 years ago

Pls answer asap!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Elis [28]2 years ago

6 0

Answer:

The domain is the x-values from least to greatest, while the range is the y-values from least to greatest. For this problem, domain would be [3, 18] and range would be [-12, 15].

Step-by-step explanation:

Since we know domain is the x-values listed from smallest to largest, we can order our values that way:

(3, -1), (5, 15), (7, -1), (11, -12), (18, -6).

3<5<7<11<18

That means the range is (3, 18). However, since both 3 and eighteen are included in the set, we use brackets. [3,18], putting the smaller number first, followed by a comma, and then the bigger number.

We will do the same for the range.

(11, -12), (18, -6), (3, -1), (7, -1), (5, 15)

-12<-6<-1=-1<15

This means the range is (-12, 15). Since -12 and 15 are included in the set of values, we use brackets. [-12, 15].

ki77a [65]2 years ago

4 0

Answer:

2rr

Step-by-step explanation:

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What is the equation of the line that has a slope of m = 2 and passes through the point (-5, -6)?

Alenkinab [10]

Answer:

$y=2x+4$

Step-by-step explanation:

You can solve this two ways: insert the values into point-slope form and simplify to solve for y, converting it to slope-intercept form, <em>or</em><em> </em>insert the values into slope-intercept form, solve for b, and insert b. We'll do both :)

<em><u>Point-slope form:</u></em>

$y-y_{1}=m(x-x_{1})$

Where:

$m$ is the slope

$x_{1}$ and $y_{1}$ are corresponding coordinate points $(x,y)$

Insert the given values:

$m=2\\\\(-5_{x_{1}},-6_{y_{1}})\\\\y-(-6)=2(x-(-5))\\\\y+6=2(x+5)$

Solve for y. Expand the right sie using the distributive property:

$y+6=2(x)+2(5)\\\\y+6=2x+10$

Isolate the variable. Subtract 6 from both sides, canceling out the 6 on the left:

$y+6-6=2x+10-6\\\\y=2x+4$

<em><u>Slope-intercept form:</u></em>

$y=mx+b$

Where:

$m$ is the slope
$b$ is the y-intercept
$x$ and $y$ are corresponding coordinate points $(x,y)$

Insert the given values:

$m=2\\\\(-5_{x},-6_{y})\\\\-6=2(-5)+b$

Simplify the multiplication:

$-6=-10+b$

Solve for b. Add 10 to both sides, canceling out the 10 on the right:

$-6+10=-10+10+b\\\\4=b$

The value of b is 4. Insert the appropriate information into the equation. When using slope-intercept form, you don't plug in the coordinate points:

$y=2x+4$

:Done

4 0

3 years ago

35 POINTS! PLEASE HELP MEEE!!! HURRY PLEASE IM RUNNING OUT OF TIME!!!!!!!!!!!!!!!!!

lesantik [10]

Answer:

<h2>CYLINDER</h2>

Surface Area = 471.2 cm^2

<h2>TRIANGULAR PRISM</h2>

Surface Area = 60.75 m^2

Step-by-step explanation:

<h2>CYLINDER</h2>

The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )

FORMULA:

π x 5 x 2 x 15

WORK:

π x 5 = 15.7

15.7 x 2 = 31.4

31.4 x 15 = 471

<h2>TRIANGULAR PRISM</h2>

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.

FORMULA:

2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)

WORK:

(2.5 x 1.5) = 3.75/2 = 1.875

1.875 x 2 = 3.75

(6 x 4) = 24

(6 x 1.5) = 9

3.75 + 24 + 24 + 9 = 60.75

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3 years ago

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