If x is the principle square root of 7, what must be true.

Answers

Answer 1

Answer: The answer is 49 I hope you got ur answer

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Factor completely. n^2 + 7n - 44

Evaluate -4 - 5 + 4 + (-5)

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

it just works

A certain aquarium holds 20 gallons of water. How many quarts of water does the aquarium hold?

Answers

The aquarium holds 80 quarts of water.

We have,

In the United States customary system, there are 4 quarts in 1 gallon.

This conversion factor is a constant ratio that allows us to convert between gallons and quarts.

So, when we have 20 gallons of water, we can multiply it by the conversion factor of 4 quarts/gallon to find out how many quarts it is equivalent to:

20 gallons x 4 quarts/gallon = 80 quarts

Therefore,

The aquarium holds 80 quarts of water.

The conversion factor helps us determine the equivalent amount of one unit to another.

Learn more about unitconversion here:

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Let's find out what 1 gallon of water is first.1 gallon is equivalent to 4 quarts.20 gallon is equivalent to 80 quarts.What we do here is to multiply: 20 gallons • 4 quarts = 80 quartsThe answer is 80 quarts.

Simplyfy the expression 4x+(15x+y) -11y

Answers

Steps to solve:

4x + (15x + y) - 11y

~Remove parenthesis and combine like terms

4x + 15x + y - 11y

19x - 10y

Best of Luck!

Answer:

(64x -11)/y

Step-by-step explanation:

Multiply 4x into the parenthesis.

60x + 4xy -11y

Divide by y.

(60x + 4x -11)/y

(64x -11)/y

ProblemHudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40°. The kite
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check

The answers are not 80 and 83. I have tried that.

Answers

The kite is approximately 83.35 feet above ground.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

Sin = opposite side / hypotenuse

Sin 40 = x/ 125

x = Sin 40 (125)

x = 125 (0.642)

x = 80.3

In order to find the height of kite off the ground, wewill add the height of Hudson to 80.35 feet as well as he is flying the kite.

80.3 + 3 = 83.3 ft tall

Hence, the kite is approximately 83.35 feet above ground.

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Answer:

83.3 ft tall

Step-by-step explanation:

$sin(40) = (x)/(125) \nx = 125 * sin(40)\nx = 80.34845$

Round to 80.3 and add Hudson's height

80.3 + 3 = 83.3ft tall

Which is an equation in point-slope from for the given point and slope point (7,4)slope:6

Answers

Answer: y-4=6(x-7)

The formula for point slope form is:

$y- y_(1) =m(x- x_(1))$

where

m=slope
$y_(1)=$ known y-coordinate
$x_(1)=$ known x-coordinate

now lets input the information that we know into the equation. We know the slope is 6. Our known x coordinate is 7, and our known y coordinate is 4.

y-4=6(x-7)

pont slope from is y=mx+b where slope=m and b=y intercept
we are given that slope=6
subsiutte
y=6x+b
we are given the point (7,4)
(x,y)
so x=7
y=4 is one solution
subsitutute
4=6(7)+b
4=42+b
subtract 42 from both sides
-40=b
the equation is y=6x-40

What value of m will make 4x-7y=5 and 9x+my=3 parallel?

Answers

$l:y=m_1x+b_1\ and\ k:y=m_2x+b_2\n\nl\ ||\ k\iff m_1=m_2\n------------------------\nl:4x-7y=5\to-7y=-4x+5\to y=(4)/(7)x-(5)/(7)\n\nk:9x+my=3\to my=-9x+3\to y=-(9)/(m)x+(3)/(m)\n\nl\ ||\ k\iff-(9)/(m)=(4)/(7)\n\ncross\ multiply:\n\n4m=-9\cdot7\n\n4m=-63\ \ \ \ /:4\n\nm=-15.75\leftarrow answer$

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