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4 years ago

5

Simplify the expression. 5 (z+4)+5 (2-z)

1 answer:

Nadya [2.5K]4 years ago

6 0

First, we're going to distribute both fives out, which gives us this:
5z + 20 + 10 - 5z
Then, we can combine the like terms. However, since they are opposites, they cancel out, which gives us:
20 + 10
This equals 30.
Hope this helps!
~Chrys

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2) Find BC<br> С<br> 67<br> 52<br> 4<br> B<br> 21<br> A) 20<br> C) 20.7<br> B) 16<br> D) 18

JulsSmile [24]

Answer:

i got D

Step-by-step explanation:

<u>sin 67</u><u> </u> = <u>sin</u><u> </u><u>5</u><u>2</u>

21 BC

BC=17.98

BC=18

8 0

3 years ago

Line QR goes through points Q(0,1) and R(2,7). Which equation represents line QR ?

vodomira [7]

(0,1)(2,7)
slope(m) = (7-1) / (2-0) = 6/2 = 3

y = mx + b
slope(m) = 3
use either of ur points...(0,1)....x = 0 and y = 1
now sub and find b, the y int
1 = 3(0) + b
1 = b

so ur equation is : y = 3x + 1....or 3x - y = -1

6 0

4 years ago

Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2

Nana76 [90]

Answer: $k=18\dfrac{8}{11}$ .

Step-by-step explanation:

If a line passing through two points, then

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN $=\dfrac{1-0}{5-0}=\dfrac{1}{5}$

The endpoints of segment AB have coordinates $\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)$ and $\left(-2\dfrac{1}{4} , k\right)$ .

$A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)$

$B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)$ .

Slope of AB $=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}$

$=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}$

$=\dfrac{4k-9}{4}\times \dfrac{44}{-145}$

$=4k-9\times \dfrac{11}{-145}$

$=\dfrac{44k-99}{-145}$

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

$\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1$

$\dfrac{44k-99}{-725}=-1$

$44k-99=725$

$44k=725+99$

$k=\dfrac{824}{44}$

$k=\dfrac{206}{11}$

$k=18\dfrac{8}{11}$

Therefore, the value of k is $k=18\dfrac{8}{11}$ .

8 0

4 years ago

Read 2 more answers

Andy has 9 math books and 6 reading books. If he wants to distribute them evenly among some bookshelves so that each has the sam

andrew11 [14]

Answer:

3 is the greatest number of book shelves Andy can use.

Step-by-step explanation:

You can solve this by finding the greatest common factor of 9 and 6, which turned out to be 3.

6/3 = 2 (reading books per shelf)

9/3 =3 (math books per shelf)

Every shelf there are 2 reading books and 3 math books.

4 0

3 years ago

Richard is selling bundles of wood. The total weight of the wood he is selling is 6,165 pounds, and there are 90 bundles. If eac

BARSIC [14]

Answer:

each bundle weighs 68.5 lb

Step-by-step explanation:

6165/ 90

7 0

3 years ago