Consider the following simplified algebraic expression. 10 x squared y + 6 x squared minus 7 y squared minus 6 Which could be the original expression? 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared + 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x + 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 minus 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4

Answer:

7√10/2 - 11

Step-by-step explanation:

(2√2−√5) / (3√2+2√5)=

(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=

(12+10-3√10-4√10)/(18-20)=

(22-7√10)/-2= 7√10/2 - 11

Answer:

Both are equal in volume

Answer:

Step-by-step explanation:

f(0)=2-3=-1 so the point (0,-1) must be on the graph

f(-5)=|-5+2|-3=3-3=0 so the point (-5,0) must be on the graph

Then, the correct answer is the second graph

The graph that correctly displays the function f(x) = |x + 2|– 3 is the second graph.

We graph a function by calculating some values of f(x), plotting the points calculated as (x, f(x)), recognizing the trend, and completing the graph.

To solve the given question, we will plot a graph of the function

f(x) = |x + 2|– 3 and then compare the graphs with it.

Our function f(x) = |x + 2|– 3 can be written as the combination of two functions g(x) = |x+2| and h(x) = -3

Since g(x) is a modulus function, it will be V-shaped. To recognize its start point and the trend, first we calculate x, when g(x) = 0

or, |x+2| = 0

or, x + 2 = 0

or, x = -2.

We find two more points, g(-1) and g(-3) to find if the V is upright or inverted.

g(-1) = |-1+2| = 1

g(-3) = |-3+2| = 1

Since g(-1) and g(-3) are greater than g(-2), g(x) = |x+2| is an upright V-shaped function starting from the point (-2,0)

h(x) = -3, is a straight line parallel to the x-axis, passing through the point -3 on the y-axis.

∴ f(x) = g(x) + h(x) = |x+2|-3 will move the graph of g(x) 3 points down.

The graph of f(x) will then be a V-Shaped upright curve, with the start point (-2, -3) and going up.

Our graph has been attached. The graph matching our graph is the 2nd one, so that is the right option.

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Answer:

true

Step-by-step explanation:

0 is one of the many things in life that make no sense.

// have a great day //

Answer:

True

Step-by-step explanation:

0 is like the barrier between positive and negative numbers.

So the answer is true.

Answer:

z = 75°

Step-by-step explanation:

You can see that CGE and FGD are vertical angles.

FGD = 15°

Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°

105° + z° = 180°

z = 75°

Answer:

75 degrees...

Step-by-step explanation:

if you look at the diagram, the angle with 15 degrees is the same as the one opposite!

So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!

Now we do 90 degrees - 15 degrees

This gives us 75 degrees!

So x = 75 degrees!

HOPE THIS HELPS!!

Answer:

your missing angle is

90+65 = 155

180-155 = 25

so your missing angle is 25 degrees

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

= [tex]\frac{10 - 7}{2 - 1}[/tex]

= [tex]\frac{3}{1}[/tex]

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

Answer:

B. 5.81

Step-by-step explanation:

So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.

Answer:

The solution is at (-4,-4).

Step-by-step explanation:

(-4x=-60-19y)-1          Multiply by -1

4x = 60 + 19y

-7x = -48 - 19y         Add both equations together

-3x = 12                   Divide both sides by -3

x = -4

Plug this into the first equation to find the value of y

-4(-4) = -60 - 19y        Multiply

16 = -60 - 19y

+60  +60                    Add 60 to both sides

76 = -19y                    Divide both sides by -19

y = -4

Answer:

in figure 1 the value of X is 20° and figure 2 the value of X is 19° and y is 123°

Answer:

D. y < 128

Step-by-step explanation:

-1 + y/8 < 15

y/8 < 15 + 1

y/8 < 16

y < 16 × 8

y < 128

Answer:

Y<128

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

1/8y-1<15

Step 2: Add 1 to both sides.

1/8y-1+1<15+1

1/8y=16

Step 3: Multiply both sides by 8.

(8)*(1/8y)<(8)*(16)

Y<128

Answer:

A or B

Step-by-step explanation:

Leaning more towards B- u want the club to earn more not less

The correct inequality is m> $69.45

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

The math club needs to raise more than $552.50 for a trip to the state competition.

The club has raised 12% of the funds.

To represent the inequality we have to perform the following function

=552.50 x 0.12

=66.3

The amount remained= 552.50 - 66.3 = $486.2

So, for the 7 members = 486.2/7

                                     = $69.45

Hence, the inequality is m>$69.45

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Answer:

48

Step-by-step explanation:

We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.

Answer:

Step-by-step explanation:

factors of 105:

1, 3, 5, 7, 15, 21, 35, 105

factors of 126:

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCF: 3*7 or 21

The  GCF ( 105, 126) =  3 *7 =21.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given:

105 = 3 * 5 * 7

126 = 2 * 3* 3 *7

So, GCF ( 105, 126) =  3 *7 =21

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Answer:

2.5 kilograms

Step-by-step explanation:

10 rings times each weight ring(250)=2500

2500 grams to kilograms is 2.5

Answer:

Cone.

Step-by-step explanation:

From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.

The following attributes help as to decide that the hat is a cone:

1. Hat and cone both have one vertex.

2. Hat and cone both have one circular base.

Therefore, the hat is look like cone.

Answer:

I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.

Step-by-step explanation:

Once we are considering [tex]x \in \mathbb{R}[/tex], the range of  [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.

In this exercise, we may have

[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]

Considering the trigonometric functions beyond the unit circle.

Or considering the definition in the right triangle:

[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]

Answer:

Two zeroes

Step-by-step explanation:

A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.

Answer:

77/12

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

12 × 6 = 72

Step 2

Add the answer from Step 1 to the numerator

72 + 5 = 77

Step 3

Write answer from Step 2 over the denominator

77/12

=12×6+512= 77/12

Answer:

77/12

Step-by-step explanation:

You multiply the whole number by the station's denominator. You will get 72.

Then you add the 72/12 and 5/12 together.

You will get 77/12.

Answer:

164

Step-by-step explanation:

82 multiplied by 2

Answer:

164

Step-by-step explanation:

2 *82=164

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

Answer:

sure, what questions?

Step-by-step explanation:

Answer:

Sure what are the question

Step-by-step explanation:

Answer:

B. (2,5)

Step-by-step explanation:

Given

Points:  (6,3), (-2,7)

Required

Midpoint

Midpoint is calculated as follows:

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex](x_1,y_1) = (6,3)[/tex]

[tex](x_2,y_2) = (-2,7)[/tex]

So,

[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]

By substituting these values in the given formula

[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]

[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]

[tex](x,y) = (2,5)[/tex]

Hence, the midpoint of the line segment is (2,5)

 b. more groups should have been

Answer:

C AND D

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Consider the steps below;

[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]

To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;

Solution ⇒ Option B

Answer:

the triangles are similar because y=34 and there are three pairs of congruent angles

Step-by-step explanation:

this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180

this also means x is equal to 83  which means both triangles share all of the same angle measures

One part of the angle is 3x, and the other part is 6x+23, so putting them together gets 9x+23=86. Subtract the 23 and we get 9x=63. We know that 9•7=63, so x=7, and now we can solve the angle. 6x=42, and 42+23=65, so the answer is:

Answer:

A. 65

Step-by-step explanation:

First, you would need to find x.

You would combine both equations it would become, 6x+23+3x=86.

Then, combine like terms, 9x+23=86.

And subtract 23 from both sides, 9x = 63.

Lastly, divide both sides by 9.

x = 7

Now with the equation 6x+23, you replace x with 7, 6(7)+23.

Then multiply 42+23, and add 42+23= 65.

Answer = 42.8

Step-by-step explanation:

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle

Answer:

Number of  Real Solutions = 1

Number of  Extraneous Solutions = 1

Real Solutions = (x = 3)