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Liula [17]
3 years ago
13

Solve for z. -10-z=10+2z+2z

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

z=-4

Step-by-step explanation:

Simplify 10 + 2z + 2z to 10 + 4z

Add 10 to both sides

Simplify 10 + 4z + 10 to 4z + 20

Subtract 4z from both sides

Simplify -z - 4z − z− 4z to -5z − 5z.

Divide both sides by -5 − 5

Simplify 20 / 5 to 4

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Write the equation of the line shown in point-slope form. (2,1) (3,8)
Ulleksa [173]

<u>Answer:</u>

The line equation that passes through the given points is 7x – y = 13

<u>Explanation:</u>

Given:

Two points are A(2, 1) and B(3, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}

{(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)..........(1)

here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.

Now substitute the values in (1)

(y-8) = \frac{(1 - 8)}{(2 - 3)}\times(x- 3)

(y -8) = \frac{(- 7)}{(-1)}(x-3)

y – 8 = 7(x – 3)

y – 8 = 7x – 21  

7x – y = 21 – 8  

7x – y = 13  

Hence, the line equation that passes through the given points is 7x – y = 13

3 0
3 years ago
(1 point) 1. The height (in feet) and volume of usable lumber (in cubic feet) of 32 cherry trees are measured by a researcher. T
Thepotemich [5.8K]

Answer:

C. volume

Step-by-step explanation:

The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.

3 0
3 years ago
Please help me solve this before 8pm today please!!!!!
Nastasia [14]

Answer: x=10

Step-by-step explanation:

7776^{x+5}=216^{3x-5}

6^{5(x+5)}=6^{3(3x-5)}

5(x+5)=3(3x-5)

5x+25=9x-15

25=4x-15

4x=40

x=10

8 0
1 year ago
If the date of the second Thursday of the month is a perfect square, what is the date of the last Monday of the month?
Inga [223]

Answer:

last Monday is 27

Step-by-step explanation:

perfect square: 4, 9 , 16

2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.

last Monday is 27

Sun Mon Tue Wen Thu Fri Sat

                                  9     10  11

12    13      14     15     16     17  18

.........................................................

26    27

3 0
3 years ago
Ali bought 2.152.15 pounds of turkey at $7.89$7.89 per pound, and 1.871.87 pounds of lamb at $7.89$7.89 per pound. Which express
Stella [2.4K]
In order to calculate the total cost of the purchase, we must first assess that there were two items bought, turkey and lamb. Next, we see multiply the cost of the first item by its quantity, so:
cost(T) = 2.15 * 7.89
cost(T) = $16.96
And repeat for the second item:
cost(L) = 1.87 * 7.89
cost (L) = $14.75

Finally, the total cost is the sum of these costs. So
Total = 16.96 + 14.75
Total = $31.71
6 0
3 years ago
Read 2 more answers
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