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3 years ago

Please help me!!!!!!!!!

Mathematics

1 answer:

schepotkina [342]3 years ago

7 0

Answer:

120

Step-by-step explanation:

TQR = 180 - (35+25) = 120

TQP= 180-120=60

TNP=TQP =60

MNT= 180-60=120

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Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ <em>the bottom of the integral is -2 </em>

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hour

san4es73 [151]

Answer:

The rate of change for each reader is :

For J K Rowling : 17 and a half pages per hour

For R L Stone : 15 pages per hour

Step-by-step explanation:

Here the reading rate of each reader is given as:

J.K. Reads 35 pages every 2 hours.

So, the number of pages read by J K in 2 hours = 35 pages

⇒ The number of pages read per hour = 35 / 2 = 17 . 5 pages

So, the pages read by J K Rowling in 1 hour is 17 and a half pages.

R L Stone reads 45 pages every 3 hours.

So, the number of pages read by R L in 3 hours = 45 pages

⇒ The number of pages read per hour = 45 / 3 = 15 pages

So, the pages read by R L Stone in 1 hour is 15 pages.

Hence, the rate of change for each reader is :

For J K Rowling : 17 and a half pages per hour

For R L Stone : 15 pages per hour

5 0

4 years ago

What is the product (9t-4)(-9-4)

Scrat [10]

Answer:

-81t^2 +16

Step-by-step explanation:

(9t-4)(-9t-4)

FOIL

first: -9t*9t = -81t^2

outer : -4*9t = -36t

inner : -4 *-9t = 46t

last = -4*-4 = 16

Add them together

-81t^2 -36t+36t+16

-81t^2 +16

6 0

3 years ago

A baker has 5 pounds of flour. How many cakes could the baker make with the flour if each cake takes 1 4 of a pound of flour?

IrinaVladis [17]

Total number of cakes = 5 ÷ 1/4
= 20.

7 0

3 years ago

Read 2 more answers

HELP HELP I WILL MARK BRAINLIEST IF YOU HELP ME

Tpy6a [65]

Answer:

x = 8

Step-by-step explanation:

In order for the triangles to be similar, corresponding side must be in proportion.

So, FE/ZY = FD/ZX

6/12 = (2x - 5)/22

6(22) = 12(2x - 5)

132 = 24x - 60

24x = 192

x = 8

8 0

3 years ago