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3 years ago

Please what is the answer

Mathematics

2 answers:

choli [55]3 years ago

5 0

Answer:

Step-by-step explanation:

Svetach [21]3 years ago

4 0

Answer:

Step-by-step explanation:

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Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

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

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

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

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

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

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

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

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

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

Express 2.65 as a mixed number in the lowest terms

zmey [24]

Answer:

2 13/20

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Mrs. fam bought 4 1/4 pounds of ham for $17. At rate,What is the cost of 1 pound of sliced ham?

vova2212 [387]

$4 \frac{1}{4} \: Pounds = 17 \: USD \\ \frac{17}{4} \: Pounds = 17 \: USD \\ 1 \: Pound = 17 \times \frac{4}{17} = 4 \: USD$

!! Hope It Helps !!

3 0

3 years ago

Which expressions can you use to find 75% of 56??

hodyreva [135]

75/100 x/56
Then do the math to find what's 75% of 56.

3 0

4 years ago

A wire 22 cm long has a mass of 374 g. What is the mass of 13 cm of this wire?

taurus [48]

Answer:

221 g

The up pinned pic is of inverse variation typed answer.. If u want word problem type answer here are the steps (EVEN IF THE STEPS ARE DIFFERENT ANSWERS REMAIN SAME)

Step-by-step explanation:

Mass of wire from 22cm = 374g

Mass of wire from 1 cm = 374÷22 = 17g

Mass of wire from 13 cm = 13×17 = 221 g

7 0

3 years ago