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3 years ago

9

multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of negative 100 end

quantity

1 answer:

Anika [276]3 years ago

8 0

Answer:

8 - 5i

Step-by-step explanation:

2 + √-25 x 4 - √-100

2 x 4 + √-25 - √-100

8 + 5i - 10i

8 - 5i

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100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

7 0

3 years ago

Identify the conclusion of the statement.

valentina_108 [34]

Answer:

2) n > 16

Step-by-step explanation:

Usually, a statement is written as:

If P, then Q

Where P = hypothesis

Q = conclusion.

And our statement is:

if 2n - 7 > 25, then n > 16

(We can easily solve the inequality to get the thing in the right:

2n - 7 > 25

2n > 25 + 7 = 32

n > 32/2 = 16

n > 16 )

then:

P = (2n - 7)

Q = n > 16

Then the conclusion is: n > 16

The correct option is 2) n > 16

7 0

3 years ago

The graphed line shown below is y = -4x - 12

Irina-Kira [14]

<h2>Answer:</h2>

$\boxed{y=-4x}$

<h2>Step-by-step explanation:</h2>

A linear equation is an equation of a line while a system of linear equations contains two or more linear equations that work together. A system of two linear equation has no any solution when the lines have the same slope. The graphed line shown in the Figure has an equation $y=-4x-12$ being the slope $m=-4$ . Thus, from the options the line that has the same slope is $y=-4x$ . Finally, these two lines have no any because they are parallel.

4 0

3 years ago

Read 2 more answers

Pupils at a scholl either arrive by bus,car or on foot. 3/10 walk and 1/3 come by bus. What fraction come by car?

Gre4nikov [31]

The total of the pupils are the 100%, or in fraction mode, 1, the whole, so we have:
bus + car + foot = total
1/3 + car + 3/10 = 1
car = 1 - 3/10 - 1/3
car = 1 - (9/30 + 10/30)
car = 30/30 - 19/30
car = 11/30
that is the fraction that come by car

3 0

3 years ago

10. What is the stope of the line shown in the graph Express your answer as an improper fraction or as an integer as appropriate

FinnZ [79.3K]

Step-by-step explanation:

slope is y2-y1/x2-x1

formula is

y=mx+b where m is the slope

5 0

3 years ago