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3 years ago

Simplify this expression. If it is already simplified, then write it as it is. 2p – 2 – 9 - 9p

Mathematics

1 answer:

MaRussiya [10]3 years ago

3 0

Answer:

$- 7p - 11$

Step-by-step explanation:

$2p - 2 - 9 - 9p \\ = - 7p - 11$

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Nana76 [90]

Answer:

uhbsu is ysab nq17y 8

Step-by-step explanation:

5 0

2 years ago

Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).

vfiekz [6]

Answer:

x = 4

Step-by-step explanation:

y = - 2 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line is therefore a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 2 ) with x- coordinate 4 , thus

x = 4 ← equation of perpendicular line

5 0

3 years ago

What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A

Vilka [71]

Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

here,

$n$ = degrees

$r$ = radius

using this we'll solve all the parts:

r = 10, n = 20:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (10) \left(\dfrac{20}{360}\right)$

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

$L = \pi (10) \left(\dfrac{20}{180}\right)$

10 and 180 can be resolved: 180 divided by 10 = 18

$L = \pi \left(\dfrac{20}{18}\right)$

finally, both 20 and 18 are multiples of 2 and can be resolved:

$L = \pi \left(\dfrac{10}{9}\right)$

$L = \dfrac{10\pi}{9}$ Option (E)

r=3, n=6:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (3) \left(\dfrac{6}{360}\right)$

$L = \dfrac{\pi}{10}$ Option (D)

r=4 n=7

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (4) \left(\dfrac{7}{360}\right)$

$L = \dfrac{7\pi}{45}$ Option (C)

r=2 n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (2) \left(\dfrac{x}{360}\right)$

$L = \dfrac{x\pi}{90}$ Option (D)

r=y n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (y) \left(\dfrac{x}{360}\right)$

$L = \dfrac{xy\pi}{180}$ Option (E)

6 0

3 years ago

Which equation is represented by the graph below?

Sergeu [11.5K]

Answer:

Step-by-step explanation:

this is becasue the slope is positive

7 0

1 year ago

Max has a science test on Thursday. On Monday he studied 2/9 of the material. On Tuesday he studied 1/4 of the remaining materia

wolverine [178]

Answer:

The answer to your question is:

Fraction he has review = 17/36

Fraction he have to study = 19/36

Step-by-step explanation:

Data

Monday studied = 2/9

Tuesday = 1/4

Fraction he has review = ?

Fraction he has left = ?

Process

As the denominator is 9, consider the whole is 9.

Then: Fraction left on Monday = 9/9 - 2/9

= 7 / 9

Fraction left on Tuesday = 7/9 - 1/4

= (28 - 9) / 36

= 19 / 36

Fraction he has review = 17/36

Fraction he have to study = 19/36

3 0

2 years ago