the lines shown below are perpendicular. If the green line has a slope of -2, what is the slope of the red line?

Answer:

x = 114°

y = 27

Step-by-step explanation:

To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.

To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.

Answer:

x= 114,

y= 27

Step-by-step explanation:

x= 180 - 66 = 114

6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27

Answer:

It is an integer.

Step-by-step explanation:

The number -5 is negative so it is not a whole number or a natural number.  It also isn't a decimal number or a fraction so it is an integer.  

Answer: Integer

Step-by-step explanation: you have to use your skills

Answer:

The x-value is between 2 and 3, and the y-value is between -4 and -5

Step-by-step explanation:

The plot of the equations:

y = 1/4x - 5 (red)

y = -1/2x - 3 (blue)

is shown in the figure attached.

The solution to the system is found at the intersection point. In this case, the solution is x = 2.667 and y = -4.333

Answer:

it is A The x-value is between 2 and 3, and the y-value is between –4 and –5.

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

When you simplify the left fraction, you will get the right fraction.

[tex] \frac{3}{9}[/tex]

[tex] = \frac{3 \div 3}{9 \div 3} [/tex]

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

Therefore, the symbol is = ;

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

Answer:

the answer would be B

Step-by-step explanation:

by flipping it to the other side u will have the same numbers but some might be negative hoped it was right

Answer:

its B

Step-by-step explanation:

Answer: 6.75

Step-by-step explanation:

|6.75| = the absolute value of 6.75. The absolute value of a number is its distance from 0, which will always be positive. So |6.75| = 6.75.

Answer:

[tex]6.75[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a[/tex]

[tex]\mathrm{a\ge 0}[/tex]

[tex]\left|6.75\right|=6.75[/tex]

Answer: 32x^7y^15

Step-by-step explanation:

(x)^2(2xy^3)^5

= x^2 * 32x^5y^15

= 32x^7y^15

Answer:

x=-2

y=-10

Step-by-step explanation:

x+y=-12

x-y=8

x=y+8

(y+8)+y=-12

2y+8=-12

2y=-20

y=-10

x+10=8

x=-2

Answer:

[tex]x = - 2 \\ y = - 10[/tex]

Step-by-step explanation:

[tex]x + y = - 12 \\ x - y = 8[/tex]

[tex]x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2[/tex]

[tex]x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10[/tex]

someone has already answered this, so here you go :

Answer:

the correct answer is A. (-3, -2)

Answer:

Total is 7356

Step-by-step explanation:

Find 3% of $24,520

Interest = per year

So the 3% times 10 and you get the answer

Answer:

[tex]5[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]3x+6=5x-4[/tex]

[tex]3x-5x=-4-6[/tex]

[tex]-2x=-10[/tex]

[tex]2x=10[/tex]

[tex]2x/2=10/2[/tex]

[tex]x=5[/tex]

The number is 5.

Answer:

5

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

There are three 20 second time periods in 1 minute. Three times eight is equal to 24.  

Answer:

  0.05 cm

Step-by-step explanation:

The least-significant digit in the given measurement is the one in the 0.1 cm number place. The "greatest possible error" is half the value of that number place, so is ...

  (0.1 cm)/2 = 0.05 cm . . . . "greatest possible error"

_____

For questions of this sort, we make the (not always practical) assumption that the measurement is rounded perfectly to the nearest 0.1 cm.

Answer:

0.005

Step-by-step explanation:

Answer: B and E

Step-by-step explanation:

A polynomial is an algebraic expression of degree one variable and above.

A polynomial does not have negative in it exponent and cannot be divided by a variable.

Polynomial operations are addition, subtraction and multiplication. It also involves non-negative integer exponents of variables.

From the options given to you, only B and E are polynomials

Answer:

The question is missing, so I will answer all the solution for each possible system of two equations.

Step-by-step explanation:

The equations

x + 5 y = 10 (red)

3 x - y = 1 (blue)

x - 5 y = 10 (green)

3 x + y = 1 (purple)

are shown in the picture atatched. The intersection between two lines is the solution of their system.

system:

x + 5 y = 10 (red)

3 x - y = 1 (blue)

solution: (0.938, 1.813)

system:

x + 5 y = 10 (red)

x - 5 y = 10 (green)

solution: (10, 0)

system:

x + 5 y = 10 (red)

3 x + y = 1 (purple)

solution: (-0.357, 2.071)

system:

3 x - y = 1 (blue)

x - 5 y = 10 (green)

solution: (-0.357, -2.071)

system:

3 x - y = 1 (blue)

3 x + y = 1 (purple)

solution: (0.333, 0)

system:

x - 5 y = 10 (green)

3 x + y = 1 (purple)

solution: (0.938, -1.813)

Answer:

A.

Step-by-step explanation:

I just took the quiz :]

Answer:

5x +10

Step-by-step explanation:

3(x+2)+2(x+2)

Distribute

3x+6 +2x+4

Combine like terms

5x +10

Answer:

5x+10

simplified if you want: x+2

Step-by-step explanation:

3x+6+2x+4

5x+10

Answer: Reflection is the change in direction of a wavefront between two different media so that the wavefront returns into the medium from which it originated.

Step-by-step explanation:

Answer:

1,2,3,4,6

Step-by-step explanation:

Answer:

This is really weird. None of them seem to be right.

For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.

However, if I had to choose one, I'd choose the second option. It's the closest to being correct.

Answer:

70

Step-by-step explanation:

Answer:

70 fewer refrigerators  than television

Step-by-step explanation:

Answer:

Number of ounces of iodine 888 brand = 68

Number of ounces of iodine 232 brand = 325

Step-by-step explanation:

Given the following ;

Brand 232:

Cost per ounce = 36cent

Brand 880:

Cost per ounce = $2.04 = 204cent

Assume the following :

Number of ounces of 232 brand = x

Number of ounces of 888 brand = y

Total ounces to be made :

x + y = 393 - - - (1)

Total cost of iodine :

Brand 232 = 36x

Brand 888 = 204y

36x + 204y = 25572 - - - - (2)

From (1)

x = 393 - y - - - - (3)

Substitute (3) into (2)

36(393 - y) + 204y = 25572

14148 - 36y + 204y = 25572

-36y + 204y = 25572 - 14148

168y = 11424

y = 11424 / 168

y = 68

From ; x = 393 - y

y = 68

x = 393 - 68

x = 325

Number of ounces of iodine 888 brand = 68

Number of ounces of iodine 232 brand = 325

Answer:

the solution is (-2, 1)

Step-by-step explanation:

In the first equation, substitute -2 for x.  We get:

y = -2 + 3 = 1

So the solution is (-2, 1)

The solution of system of Equations is x= -2 and y= 1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the Equation:

y= x+ 3

x= -2.

So, putting the values in equation in (1) we get

y = -2 + 3

y = 1.

Thus, the solution is x= -2 and y= 1.

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Answer:

D

Step-by-step explanation:

[tex]P(1+r\%)^t[/tex]

[tex]700 \times (1+0.8\%)^5[/tex]

[tex]700 \times (1+0.8/100)^5[/tex]

[tex]700 \times (1+0.008)^5[/tex]

[tex]700 \times (1.008)^5[/tex]

The value expresses the population five years later is (700)(1.008)^5.

We have given that in 1997 the population of a small town was 700.

The annual rate of increase is about 0.8%.

We have to find the population for 5 years

[tex]F=P(1+r)^t\\\\[/tex]

Here p=700

r=0.8/100=0.008

t=5

Use the above value in the formula so we get,

[tex]F=700(1+0.008)^5[/tex]

[tex]F=700(1.008)^5[/tex]

Therefore option D is correct.

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Answer:

The area is 14 inches squared.

Step-by-step explanation:

To find the area of a trapezoid the equation is...

a+b

------ x h                  (a and b equal the bases)

 2

Seeing as we know all of the basses and heights lets plug it into the equation.

9+5

------- x 2

  2

Well the 2 and the 2 cancel each other out in this scenario so what we would have to do now is ad 9 and 5 which would get us to 14.

Answer:

14in

Step-by-step explanation:

Answer:

x + 2y = -1

Step-by-step explanation:

First, we'll find the slope.

Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2

Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:

y - 2 = -1/2(x - (-5))      *I used (-5, 2) but it doesn't matter which point you use

y = -1/2(x + 5) + 2

y = -1/2x - 1/2

Standard form:

1/2x + y = -1/2

x + 2y = -1

Answer:

f(x) will be any function that has the slope of 3/4

slope is represented by m in y = mx+b.

This is because parallel lines always have the same slopes, while perpendicular lines have the negative reciprocal of given slope.

Answer:

  True

Step-by-step explanation:

The measure of the angle where secants intersect outside the circle is half the difference of the measures of the intercepted arcs. A pair of tangents is a special case where the intercepted arcs meet each other. The same relation regarding arc and angle measures still applies.

The given statement is true.

The measure of a tangent-tangent angle is one - half the difference of the measures of the intercepted arcs.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Now, The diagram is attached below

AB  and BC are the two tangents

By exterior angle theorem

∠3 = ∠2 + ∠4

So   ∠2 = ∠3 - ∠4

Now we find angle 3  and 4, we know when a chord and tangent intersect at a point then the measure of angle is one half of measure of intercepted arc

∠3 = 1/2 arc ADC

∠4 = 1/2 arc AC

∠2 = ∠3 - ∠4

∠2 = 1/2 arc ADC - 1/2 arc AC

∠2 = 1/2 ( arc ADC - arc AC)

Thus, The measure of a tangent-tangent angle is one half the difference of the measures of the intercepted arcs.

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Answer: 6/25

Step-by-step explanation:

There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25

Answer:

2/3, 1, and 6/5

Step-by-step explanation:

This is all just a matter of substitution. The values given of x = 1, x = 4/9 and x = 1 1/3 just need to be substituted in as x itself.

If x = 1, then the expression will be as the following: 4/15÷1+0.4. Dividing anything by 1 is just the same number, so 4/15 remains the same. 0.4 as a fraction is 4/10. A common denominator is 30, as both 10 and 15 fit into 30, so:

8/30+12/30=20/30, which can be simplified into 2/3

If x = 4/9, then we just substitute again. 4/15÷4/9+0.4. Due to BIDMAS, we do 4/15÷4/9 first, and to divide fractions, we use the KCF rule of Keep, Flip, and Change. We Keep the first fraction (4/15), Change the division sign into multiplication and then Flip the second fraction so it becomes 9/4

Now, we multiply the two fractions (4/15×9/4) to get 3/5, and then adding 4/10 to that gives us just 1.

If x = 1 1/3, we do the exact same thing we did for x = 4/9 to get 6/5. Good luck.

Answer:

The answer is 166/21, or 7 19/21

Step-by-step explanation:

First, you would set up the equation, which is:

13 1/7 - 5 5/21

Next, you would turn them into an improper fraction, which is:

92/7 - 110/21

Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:

276/21 - 110/21

Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.

Answer:

7 19/21

Step-by-step explanation:

13 1/7 - 5 5/21

Get a common denominator

13 1/7*3/3 - 5 5/21

13 3/21 - 5 5/21

We need to borrow 1 from the 13 in the form of 21/21

12 +21/21 + 3/21   - 5 5/21

12 24/21 - 5 5/21

7 19/21