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aksik [14]
3 years ago
14

(3x2 + 7x + 10) - (3x2 - 12x - 10)

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer:

19x + 20

I have a picture of my work here for an explanation

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SV−→bisects ∠RST. If m∠RSV = 64, what is m∠RST?
Anuta_ua [19.1K]

Given:

\overrightarrow{SV} bisects ∠RST.

m\angle RSV=64^\circ

To find:

The m\angle RST.

Solution:

Since, \overrightarrow{SV} bisects ∠RST, therefore

m\angle RSV=m\angle VST         ...(1)

Now,

m\angle RST=m\angle RSV+m\angle VST

m\angle RST=m\angle RSV+m\angle RSV         [Using (1)]

m\angle RST=2\times m\angle RSV

m\angle RST=2\times 64^\circ              [\text{Given }m\angle RSV=64^\circ]

m\angle RST=128^\circ

Therefore, the value of m\angle RST is 128^\circ.

5 0
3 years ago
Quadrilateral FRIO is the result of a reflection of quadrilateral LAMB over the y-axis. FRIO has vertices at F(-7,6), R(1,7), I(
andrew11 [14]

Answer:

F' = (7, 6)

R' = (-1, 7)

I' = (-2, -5)

O' = (6, -6)

Step-by-step explanation:

The rule of reflection over the y-axis is, (x, y) ---> (-x, y). So change all the x values into the opposite signs. So the -7 of F would turn into just 7, the 1 of R would turn into -1, the 2 of I would turn into -2, and -6 of O would turn into just 6.

3 0
3 years ago
Draw a line through the origin that has a slope of 4/3
Ket [755]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

In this problem the given line represent a proportional relationship, because passes through the origin

we have

k=\frac{4}{3} --->  the constant of proportionality k is equal to the slope

substitute

The linear equation is

y=\frac{4}{3}x

To draw a line we need two points

we have (0,0)

To find the other point

assume  x=3 and substitute in the equation to solve for y

y=\frac{4}{3}(3)=4

so

The other point is (3,4)

using a graphing tool

Plot the points (0,0) and (3,4)

To graph the line join the points

see the attached figure

6 0
3 years ago
Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft × 4 ft × 9 in, weigh?
andriy [413]

Answer:

  • <u>1,310 lb</u>

Explanation:

<u>1) Calculate the volume of the water in the tank.</u>

  • Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
  • Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
  • Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.

<u>2) Calculate the weight of 21 ft³ of water.</u>

Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:

  • 62.4 lb / 1 ft³ = x / 21 ft³

Solve for x:

  • x = 21 ft³ × 64 lb / ft³ = 1,310.4 lb.

So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.

6 0
3 years ago
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How much money do you save when you buy a $40 video game that is on sale for 25% off?
nexus9112 [7]
I it is think it’s $10
4 0
3 years ago
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