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julsineya [31]
3 years ago
14

9-4(2p-1) = 45 solve for p

Mathematics
1 answer:
katrin [286]3 years ago
8 0

Answer: p = -4

Step-by-step explanation:

9-4(2p-1) = 45

9-8p+4 = 45

13-8p = 45

-8p = 45 - 13

-8p = 32

p = -(32/8)

p = -4

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75. Simplify the expression: -2x(4x^2 - 5x + 3)
Karolina [17]

-2x(4x² - 5x + 3)    Distribute/multiply -2x into (4x² - 5x + 3)

(4x²)(-2x) - (5x)(-2x) + (3)(-2x)

-8x³ + 10x² - 6x


Your answer is the 3rd option

3 0
3 years ago
What is the length of the apothem of a regular hexagon with 10-cm sides?
vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
It is recommended that you work this out on graph paper to help answer the questions. Sean plots the locations of 4 places on a
creativ13 [48]

Step-by-step explanation:

since the house, the school and the grocery store all have the same x coordinate (-4), they are on the same vertical line of x = -4.

and that means their distances are simply the differences in their y coordinates.

the only one different in that regard is the community center, but it is on the same y coordinate as the school, so the distance to the school is only the difference in their x coordinates.

A

so, the distance from house to school is

|5 - 3| = |3 - 5| = 2

as it is the same distance in either direction.

B

the distance from house to school to grocery store is the distance from house to school plus the distance from school to grocery store :

2 + |3 - -9| = 2 + |-9 - 3| = 2 + 12 = 14

now we need to find the distance from home to school to community center.

that is 2 + the distance from school to community center.

as mentioned above, since the school and the community center have the same y coordinate, their distance is the difference in their x coordinates :

|-4 - 6| = |6 - -4| = 10

so, in total the way house to school to community center is 2 + 10 = 12.

and that is shorter than the way house to school to grocery store, which is 14.

so, yes, the distance house to school to grocery store (14) is greater than the distance house to school to community center (12).

8 0
2 years ago
The triangle shown is translated up 5. What are the new coordinates of point C?
ehidna [41]

Answer:

(3,6)

Step-by-step explanation:

The triangle shown in figure is translated up 5

To find how coordinate of C

Original coordinate of C:(2,1),

Translation has two types: verbal and horizontal.

For verbal translation: either shift up or down

1. For up shift: add value in Y-cordinate  

2. For down shift: subtract value in y coordinate

• For horizontal translation: either shift left or right

I. For left shift: subtract value in x-cordinate

II. For right shift: add value in x-cordinate

C: (3,1)shift 5 unit up

So, add 5in y-cordinate

(3,1)→(3,1+5)

(3,1)→(3:6)

Hence, the new coordinate of point C is (3,6)

7 0
3 years ago
(Pls help i need this ASAP I got 10 min left) Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain.
gtnhenbr [62]

Answer:

yes it's a refelction over the line f  (C)

Step-by-step explanation:

so c is correct

8 0
3 years ago
Read 2 more answers
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