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Damm [24]
3 years ago
12

The table shown below shows some values for functions f(x) and g(x). What is/are the solutions for f(x) =g(x)

Mathematics
1 answer:
deff fn [24]3 years ago
3 0

i need this answer too

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What is the sum of √-2 and √-18<br><br> a. 4 √2<br> b. 4 √2i<br> c. 5 √2<br> d. 5 √2i
MakcuM [25]
First, it is necessary to take out the i from the root. This is done by factoring out -1 as follows, using the relation √(-1) : = i

√-2 = √(-1)(2) = i<span>√2
</span>√-18 = √(-1)(2)(9) = 3i<span>√2

Simplifying by adding the two terms together:
</span>i√2 + 3i√2 = 4i<span>√2
</span>
Therefore the answer is B.

7 0
3 years ago
A triangular piece of fabric has an area of 45 square inches. The height of the triangle is 15 inches. What is the length of the
saw5 [17]

Answer:

The length of the triangle’s base is of 6 inches.

Step-by-step explanation:

The area of a triangle is given by the following equation:

A = \frac{b*h}{2}

In which b is the length of the triangle's base and h is the height.

In this question, we have that:

A = 45, h = 15

So

A = \frac{b*h}{2}

45= \frac{15b}{2}

15b = 45*2

b = \frac{45*2}{15}

b = 6

Area in square inches, the length of the triangle's base will be in inches.

The length of the triangle’s base is of 6 inches.

6 0
3 years ago
How many times greater is the area circle 1( radius 12) of than the area circle 2( radius 4) of ​?
natka813 [3]

Answer:

The area of circle 1 is 9 times greater than area of circle 2.

Step-by-step explanation:

Given that:

Radius of circle 1 = 12

Area of circle 1 = πr²

Area of circle 1 = 3.14*(12)^2 = 3.14*144

Area of circle 1 = 452.16

Radius of circle 2 = 4

Area of circle 2 = 3.14*(4)^2 = 3.14*16

Area of circle 2 = 50.24

Let,

x be the number of times circle 1 is bigger than circle 2.

Area circle 1 = x * Area circle 2

\frac{452.16}{50.24}=\frac{50.24x}{50.24}\\\\x=9

Hence,

The area of circle 1 is 9 times greater than area of circle 2.

8 0
3 years ago
What is the slope of the line?
Mama L [17]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
Please please help me
Katarina [22]

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 8, 22) and (x₂, y₂ ) = (3, 0)

m = \frac{0-22}{3+8} = \frac{-22}{11} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 0), then

0 = - 6 + c ⇒ c = 0 + 6 = 6

y = - 2x + 6 ← equation of line

5 0
3 years ago
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