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3 years ago

Quiz The sum of these angles is 90 degrees

Mathematics

1 answer:

Zina [86]3 years ago

6 0

Answer:

30+30+30

Step-by-step explanation:

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What is the solution to the following system of equations?

sveticcg [70]

Y=x^2+10x+11
y=x^2+x-7
therefore,
x^2+10x+11=x^2+x-7
x^+10x+11-x^2-x+7=0
9x+18=0
x=-2
y=(-2)^2+10(-2)+11= -5

3 0

3 years ago

A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 55 seconds, th

True [87]

Answer:

$y=3x+4$

Step-by-step explanation:

Let y be the amount of water in the bottle x seconds after the faucet was turned on.

We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.

We have two points on the line $(5,19)$ and $(11,37)$ .

Let us find slope of the line passing through these points.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{37-19}{11-5}$

$m=\frac{18}{6}$

$m=3$

We will write our required equation in slope-intercept form $y=mx+b$ , where, m represents slope and b represents the y-intercept.

Let us find y-intercept by substituting $m=3$ and coordinates of point $(5,19)$ in slope intercept form.

$19=3\cdot 5+b$

$19=15+b$

$19-15=15-15+b$

$4=b$

Therefore, our required equation would be $y=3x+4$ .

8 0

4 years ago

The equation sinx = (sqrt2)/2 is an identity. True or False?

Aleks [24]

It's only true for specific x values but not all x values. The final answer is FALSE.<span>
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8 0

4 years ago

Read 2 more answers

Which of the following is equivalent to the equation -5(3x -8 )= -45 ?

Elan Coil [88]

Distributive property is
a(b+c)=ab+ac so
first, distribute
remember than (-) times (-)=(+)
-5(3x-8)=(-5)(3x)+(-5)(-8)=-15x+(+40)=-15x+40

so it is -15x+40=-45

the answe ris B

4 0

4 years ago

A real estate agent needs to estimate the average value of a residential property of a given size in a certain area. The real es

alexira [117]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

$95 \% \$ the confidence level for z: