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3 years ago

What is the area of this composite figure?

Mathematics

2 answers:

ioda3 years ago

8 0

Answer:

Step-by-step explanation:

11Alexandr11 [23.1K]3 years ago

4 0

Answer:

256 cm squared

Step-by-step explanation:

Just did the Quiz, hope this helps!

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Simplify the following surd expressions<br> a) 7/3 - 2/3 + V3 - 3V3

Nata [24]

Answer:

$\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}$

Step-by-step explanation:

Given the expression

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3$

solving the expression

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}$

combine the fractions i.e $\frac{7}{3}-\frac{2}{3}=\frac{5}{3}$

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}$

add similar elements i.e $\sqrt{3}-3\sqrt{3}=-2\sqrt{3}$

$=\frac{5}{3}-2\sqrt{3}$

Thus,

$\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}$

4 0

3 years ago

Which function transforms the graph of y= x^2 so that it is first shifted down 4 units and its then reflected across the y- axis

GaryK [48]

Answer:

Option C. y= ( -x)^2 -4

Step-by-step explanation:

If we have a function $f(x) = ax ^ 2$ and we want to transform it into a function g(x) that is equal to f(x) displaced c units down on the y-axis, then we must do:

$g(x) = f(x) -c$

In this case we want to move the function 4 units down, then:

$g(x) = f(x) -4\\\\g(x) = x ^ 2 -4$

Finally, to reflect the function on the y-axis. must do $y = g(-x)$

Then we have the following function:

$g(-x) = (-x) ^ 2 -4\\\\y = (-x) ^ 2 -4$

The answer is option C

8 0

3 years ago

B. Pablo's goal is to have $5,000 after 4 years. Is this possible if he

Keith_Richards [23]

Complete question is;

If Pablo invests $4200 for 3 years and earns $630

A) what is the simple interest rate?

B) Pablo’s goal is to have $5000 after 4 years. Is it possible with a rate of 6%? Explain.

Answer:

A) Rate = 5%

B) Yes, it is possible for him to earn $5000 after 4 years with an interest rate of 6%

Step-by-step explanation:

A) Formula for interest is;

i = PRT

We are given;

i = 630

P = 4200

T = 3

Making R the subject;

R = i/PT

R = 630/(4200 × 3)

R = 0.05

This is 5%

B) Formula for value of principal after interest period is;

A = P(1 + RT)

P = 4200

R = 6% = 0.06

T = 4 years

Thus;

A = 4200(1 + (0.06 × 4))

A = $5208

Thus, it is possible for him to earn $5000 after 4 years with an interest rate of 6%

3 0

2 years ago

1. Find the function f (x) =ax2 + bx+ c whose graph contains the points (1, 2), (-2,-7), and (2, -3). Write the system of equati

IRISSAK [1]

Answer:

1. The function is -2x^2 + x + 3.

Step-by-step explanation:

1. The point at (1,2) gives the equation:

a * (1^2) + 1b + c = 2

a + b + c = 2

The point at (-2,-7) gives the equation:

a * (-2^2) + (-2b) + c = 7

4a - 2b + c = -7

The point at (2,-3) gives the equation:

a * (2^2) + 2b + c = -3

4a + 2b + c = -3

Hence, all three equations are:

a + b + c = 2

4a - 2b + c = -7

4a + 2b + c = -3

Now, subtract the second equation from the third equation to get:

(4a + 2b + c) - (4a - 2b + c) = -3 - (-7)

4a - 4a + 2b + 2b + c - c = -3 + 7

4b = 4

b = 1

Hence, let's now update our previous equations:

a + 1 + c = 2 => a + c = 1

4a - 2(1) + c = -7 => 4a + c = -5

4a + 2(1) + c = -3 => 4a + c = -5

This can be further whittled down into two equations:

a + c = 1

4a + c = -5

Hence, we can now subtract the first equation from the second to get:

(4a + c) - (a + c) = -5 - 1

4a - a + c - c = -6

3a = -6

a = -2

Therefore, c = 3 (a + c = 1, -2 + c = 1, c = 1 + 2, c = 3).

And the function is -2x^2 + x + 3.

Hope this helped!

4 0

3 years ago

Which of the following is a factor of x2 + 20x + 96?

True [87]

(x+8)(x+12)
These are the factors of the problem, I do not know what your answer choices were

8 0

3 years ago

Read 2 more answers