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Rina8888 [55]
2 years ago
6

Solve for x please. :)

Mathematics
1 answer:
solmaris [256]2 years ago
6 0

Answer:

180-130=50

Step-by-step explanation:

done hope you like it

i use the 180 because its a straight line from the x to the 130

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Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1
Hitman42 [59]

Answer:

(f\circ g)(x)= x + 4

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

(f\circ g)(x)=f(g(x))= - (-x -1) + 3

Removing parentheses:

(f\circ g)(x)= x + 1 + 3

Simplifying:

\mathbf{(f\circ g)(x)= x + 4}

5 0
3 years ago
In the figure, a square is inside another bigger square.
evablogger [386]

Answer:

Part 1) The length of the diagonal of the outside square is 9.9 units

Part 2) The length of the diagonal of the inside square is 7.1 units

Step-by-step explanation:

step 1

Find the length of the outside square

Let

x -----> the length of the outside square

c ----> the length of the inside square

we know that

x=a+b=4+3=7\ units

step 2

Find the length of the inside square

Applying the Pythagoras Theorem

c^{2}= a^{2}+b^{2}

substitute

c^{2}= 4^{2}+3^{2}

c^{2}=25

c=5\ units

step 3

Find the length of the diagonal of the outside square

To find the diagonal Apply the Pythagoras Theorem

Let

D -----> the length of the diagonal of the outside square

D^{2}= x^{2}+x^{2}

D^{2}= 7^{2}+7^{2}

D^{2}=98

D=9.9\ units

step 4

Find the length of the diagonal of the inside square

To find the diagonal Apply the Pythagoras Theorem

Let

d -----> the length of the diagonal of the inside square

d^{2}= c^{2}+c^{2}

d^{2}= 5^{2}+5^{2}

d^{2}=50

d=7.1\ units

7 0
3 years ago
Read 2 more answers
The polynomial p{x) = x4 -2x3 + 3x2 -ax+3a-7 when divided by x+1 leaves the remainder 19. Find the values of a. Also, find the r
Mrrafil [7]

Answer:

a = 5

Remainder when p(x) is divided by x+2 = 62

Step-by-step explanation:

Given:

P(x) = x⁴-2x³+3x²-ax+3a-7

When x+1 divides the polynomial p(x) the ramainder is 19.

Applying remainder theorem,

x = -1

p(-1) = 19

Substitute the x = -1 into the polynomial expression

p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19

1+2+3+a+3a-7 = 19

6-7+4a = 19

4a-1 = 19

4a = 19+1

4a = 20

a = 20/4

a = 5.

Hence, a = 5

p(x) = x⁴-2x³+3x²-5x+8

If p(x) is divided by x+2,

Then the remainder is p(-2)

p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8

p(-2) = 16+16+12+10+8

p(-2) = 62

Hence the remaider when p(x) is divided by x+2 is 62

5 0
3 years ago
What's the answer to this?
Dmitry [639]

For problem 1, the number classification problem,  

Natural: 1

Whole: 0

Integer: -3

Rational: 6

Irrational: pi

When plotting pi, put it just in front of the number 3



8 0
3 years ago
Ryan is in charge of ordering pizza for 112 campers. Each camper will get 2 slices. One pizza contains 8 slices. How many pizzas
erma4kov [3.2K]

Answer:

28 pizzas

Step-by-step explanation:

one pizza is enough food for four campers

there are 112 campers so divide 112 by 4

to check this 28 multiplied by 4 is what

112 so the answer is correct

5 0
3 years ago
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