Below is the graph of equation y= |x+2|-1. Use this graph to find all values of x such that...

y<0

Answer: about 7 %

Step-by-step explanation: you take 350 and divide it by 4500

Answer:

hope it helps

Step-by-step explanation:

Answer:

y = 3 (x+8)^2  -7

Step-by-step explanation:

The vertex form of the equation is

y = a(x-h)^2 +k

where (h,k) is the vertex

y = a (x- -8)^2 + -7

y = a (x+8)^2  -7

Now substitute the point into the equation to determine a

-4 = a (-7+8)^2  -7

-4 = a (1^2) -7

-4 = a -7

Add 7 to each side

-4+7 = a-7+7

3 =a

y = 3 (x+8)^2  -7

Answer:

y = 3(x + 8)² - 7

Step-by-step explanation:

y = a(x - -8)² - 7

y = a(x + 8)² - 7

-4 = a(-7 + 8)² - 7

3 = a

y = 3(x + 8)² - 7

Answer:

B) [tex]115.5m^3[/tex]

Step-by-step explanation:

to find the volume we need to find first the area of the triangle, and then multiply by 11 which is the length of the prism:

the measurements are:

[tex]base=7m[/tex]

[tex]height=3m[/tex]

[tex]length=11m[/tex]

the area of the triangle in one side is:

[tex]triangle=\frac{(base)(height)}{2} \\triangle=\frac{(7m)(3m)}{2}\\ triangle=\frac{21m}{2}\\ triangle=10.5m^2[/tex]

and now to find the volume of the prism we multiply the area of the triangle by the length of the prism:

[tex]volume=(triangle)(height)\\volume=(10.5m^2)(11m)\\volume=115.5m^3[/tex]

which is option B)

Answer:

115.5 [tex]m^{3}[/tex]

Step-by-step explanation:

V = 1/2a·c·h

V = 1/2(3)(7)(11) = 115.5

Answer:

20

Step-by-step explanation:

120÷6=20

Answer: A, C, E

Step-by-step explanation:

Since it was only translated and reflected, nothing changed except for its location.

Therefore, I chose answers A, C, and E.

Hope this helps! :)

Answer:

A. Steve

Step-by-step explanation:

Steve has to pay $50. So he has more debt than John

Answer:

A=2

Step-by-step explanation:

in the figure, parabola cuts the graph at point (2,1)

point (2,1) is one of the solution of the given quadratic equation

Hence, we can find the value of a by putting the value of x and y, we get

1=a(2-3)^2-1

= 2=a

Which is why A is 2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

a=[tex]\frac{y}{(x-3^)^{2} } + \frac{1}{(x-3)^{2} }[/tex]

Answer:

2,4,6,8,10 is even, 1,3,5,7,9 is odd. 983 is odd, 347 is odd, 36 is even, 44 is even

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The bottom half needs to be equal due to it's symmetrical sides.

Answer:

3

Step-by-step explanation:

^^

Answer:

- ∠3 & ∠5

- ∠2 & ∠8

----------------------------------------------------------------------

Interior Angles - Angles that appear INSIDE the transversal

Transversal - The shape you see with two parallel lines intersecting it.

Alternate - Opposite of each other, on the other side as well.

The alternate interior angles are the pair of ∠2,∠8 and ∠3,∠5.

Alternate interior angles are the angles which are formed when two parallel lines cut by a transversal line.

Hence, the pair ∠2,∠8 and ∠3,∠5 are alternating interior angle.

Learn more about angles here:

https://brainly.com/question/1592425

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Answer:

Step-by-step explanation:

No; the graph for the path of a ball must be a parabola that opens downward, so if the equation is in the form y = ax2 + bx + c, a must be negative.

Answer:

Step-by-step explanation:

hello :

x2+y2+16y−30x=0  means : (x²-30x)+(y²+16y) =0

(x²-30x+15²)-15²+(y²+16y+8²) -8²=0

(x-15)²-225+(y+8)²-64=0

(x-15)²+(y+8)²=289=17²......standard form when the center is (15,- 8)

and radius 17

Final answer:

To transform x^2+y^2+16y-30x=0 into the standard form of a circle equation, we must complete the square to obtain (x-15)^2+(y+8)^2=289. The circle's center is at (15, -8) and has a radius of 17 units.

Explanation:

To rewrite the given equation of the circle x^2+y^2+16y−30x=0 into standard form, we must complete the square for both x and y terms. First, rearrange the equation to group x and y terms together: x^2−30x + y^2+16y = 0. To complete the square, take half of the coefficient of x, which is −15, square it to get 225, and add it to both sides. Similarly, take half of the coefficient of y, which is 8, square it to get 64, and add it to both sides as well.

After adding these values, the equation becomes x^2−30x+225 + y^2+16y+64 = 225+64. Now it can be written as (x−15)^2 + (y+8)^2 = 289.

The standard form of a circle's equation is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. Thus, from our equation (x−15)^2 + (y+8)^2 = 289, the center is at (15, −8) and the radius is √289 which is 17 units.

Therefore, the correct statement is: 'The equation of the circle is (x−15)^2+ (y+8)^2=289; the center is at (15, −8), and the radius is 17 units.'

By applying the PEMDAS rule, the solution to the given expression is equal to 24.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

20 + 2(3y - 4x)

20 + 2(3(6) - 4(4))

20 + 2(18 - 16)

20 + 2(2)

20 + 4 = 24

Read more on expression here: brainly.com/question/16729936

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Answer:

1/4 or 25%

Step-by-step explanation:

So there are 1/4 of the students wearing each of the items. 1/4=25% if you are asked for it. I hope this helps.

Answer:

36.5 miles

Step-by-step explanation:

Answer:

write out the first three terms (ex. the first term was 8 miles for the first week)

find out the arithmetic sequence or d. (d= 1.5)

plug into explicit formula.

answer: 35

Answer:

Area = 54.1 ft²

Perimeter = 25.5 ft

Step-by-step explanation:

Area:

The formula for the area of a circle is (A = πr²). The radius is r, and r is half of the diameter, or d. So, it would be:
A = (3)(4.25)²

A = (3)18.0625

A = 54.1

Perimeter:

The perimeter, of circumference, formula for a circle is (C = πd), where C is the circumference and d is the diameter.

C = (3)(8.5)

C = 25.5

Hope this helps! Sorry it is a bit late! Have a great day! :)

Answer:

25 hours

Step-by-step explanation:

5/.2=25

Answer:

25 hours

Step-by-step explanation:

If it travels 1/5 of an inch in an hour, then it travels 1 inch every 5 hours. We want 5 inches, so 5 hours x 5 is 25 hours. :)

Answer:

∠ 1 = 120°

Step-by-step explanation:

Note that ∠ Q and ∠ R are congruent, that is both 30°, thus

∠ 1 = 180° - (30 + 30)° = 180° - 60° = 120°

Answer:

[tex]\sqrt{697}[/tex]

Step-by-step explanation:

If the base of the square pyramid has an area of 576 units, then the side length must have a length of [tex]\sqrt{576}=24[/tex]. 24/2=12, and using the pythagorean theorem you can find that the height of the pyramid is [tex]\sqrt{29^2-12^2}=\sqrt{697}[/tex]. Hope this helps!

Answer:

yes

Step-by-step explanation:

Answer:

yes it  is correct  good job

Step-by-step explanation:

Answer:

112.5 percent

Step-by-step explanation:

Answer:

112.5%

Step-by-step explanation:

Look at answer

Final answer:

The center of the given circle is at (13, 1), and the radius of the circle is 2.

Explanation:

The equation of a circle is generally given in the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius. Looking at the given equation (x - 13)^2 + (y - 1)^2 = 4, we can see that it is already in this standard form.

To answer the questions:

The center of the circle is (13, 1), which comes from the terms within the parentheses being subtracted from x and y.

The radius of the circle is not simply 4, as one might surmise by a quick glance. Instead, the equation gives us the radius squared, r^2 = 4. Taking the square root of both sides, we find that the radius, r, is 2.

Answer:

[tex]\sqrt{72}[/tex] = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{72}\\\sqrt{(4)(18)}\\[/tex]

2[tex]\sqrt{(2)(9)}[/tex]

(2)(3)[tex]\sqrt{2}[/tex]

6[tex]\sqrt{2}[/tex]

Answer:

6√2

Step-by-step explanation:

hello :

√72 = √(36×2) =√36×√2 =6√2  because :√36=6

Answer:

175

Step-by-step explanation:

Since the mean is 158

(121+189+147+x)/4=158

121+189+147+x=632

x=175

Answer:

[tex]175[/tex] (thousand dollars)                                   - written in [tex]2/22/2021[/tex]

Step-by-step explanation

In order to know the answer in the question, we should need to solve for the [tex]x[/tex] (Granton). It is other way around in solving for the mean because in here the mean is given. After using this formula, [tex]\frac{121+189+147+x}{4}=158[/tex] we derived at our answer that Granton has a revenue of [tex]175[/tex] (thousand dollars).

Answer:

[tex]cos(\alpha )=\frac{\sqrt{11} }{6}[/tex] and [tex]tan(\alpha )=\frac{5\sqrt{11} }{11}[/tex]

Step-by-step explanation:

First we would need to solve for the missing leg in order to figure out the remaining answers.

To do this we can use the Pythagorean Theorem a² + b² = c²

Our missing leg in this case is a, so solving for a gives us [tex]a=\sqrt{c^{2} -b^{2} }[/tex]

Here our b is 5 and our c is 6. So plugging in these values we get [tex]a=\sqrt{(6)^{2}-(5)^{2} } =\sqrt{36-25} =\sqrt{11}[/tex]

With this missing leg being solved, we can use trig identities to solve for cos and tan

I used the trig identity [tex]sin(\alpha )=\frac{opposite}{hypotenuse}[/tex] to set up the triangle in the attached image. We can use the trig identity [tex]cos(\alpha)=\frac{adjacent}{hypotenuse}[/tex] which would give us [tex]cos(\alpha )=\frac{\sqrt{11} }{6}[/tex] and we can use the trig identity [tex]tan(\alpha ) = \frac{opposite}{adjacent}[/tex] which would give us [tex]tan(\alpha )=\frac{5}{\sqrt{11} } =\frac{5\sqrt{11} }{11}[/tex]

Answer:

As trigonometry property:

(sinO)^2 + (cosO)^2 = 1

tanO = sinO/cosO

Then, if sinO = 5/6  = 0.83

=> (5/6)^2 + (cosO)^2 = 1

=> cosO = +/- sqrt(1 - (5/6)^2) = +/- 0.55

=>tanO = +/- 0.83/0.55 = +/- 1.51

Hope this helps!

:)

Answer:

Easy! X is going to be 58° degree's as well, because of the Vertical Angles Theorem!

Answer:

58 degrees

Step-by-step explanation:

It is symmetrical to the other side, which is 58 degrees.

Answer:

H. 120

Step-by-step explanation: