Solve the following system of equations by the method of your choice.
-2x + y = 3
-4x + 2y = -20
a. none of the above
b. infinitely many solutions
c. no solution
d. one solution

Answer:

c. no real solutions

Step-by-step explanation:

because:

1. 10+6x=15+9x-3x

6x+10=15+9x-3x

2. 6x+10=15+9x-3x

6x+10=15+6x

3. 6x+10=15+6x

6x+10=6x+15

4. 6x+10=6x+15

6x+10-10=6x+15-10

5. 6x=6x+5

6. 6x=6x+5

6x-6x=6x+5-6x

Then you get:

0=5

remember, If you want to know if an equation has no equation:

the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.

I hope this helps      :)

Step-by-step explanation:

In a triangle, the hypotenuse is the longest side

=>7x+3

=7(8)+3

=56+3

=59

Answer: 1/7

Step-by-step explanation:

Answer:

(4,2) (11,3)

Step-by-step explanation:

For the top part, both equations are vertical angles, so both equations will equal the same angle.

(4 + 23x) = (24x)

4 + 23x = 24x

4 = 24x - 23x

4 = x

Plug in x = 4 into both equations.

4 + 23(4) = 24(4)

4 + 92 = 96

96 = 96

Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.  

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For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.

(x + 120) + (x + 80) = 180

x + 120 + x + 80 = 180

2x + 200 = 180

2x = 180 - 200

2x = -20 (don't worry about having a negative solution)

x = -10

Plug in x = -10 into both equations.

(-10) + 120 + (-10) + 80 = 180

110 + 70 = 180

180 = 180

Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.

Answer:

it should be C 444ft^2

Step-by-step explanation:

20*24=480

6*6=36

480-36=444

Answer:

first 2, second 4, third 3, and the last one 1

We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.

Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?

Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.

Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?

Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.

Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

Learn more about volume here:

https://brainly.com/question/2952465

Answer:

144

Step-by-step explanation:

the height is sqrt(65^2-25^2) = 60

the length of the unknow side of the largest triangle is sqrt((25+x)^2-65^2)

or also sqrt(x^2+60^2)

set them to equal

sqrt((25+x)^2-65^2) = sqrt(x^2+60^2)

==> x = 144

Answer:

The answer would be x=144

Answer:

The minimum force required would be 50-N!

Answer:

23

Step-by-step explanation:

if you break this shape into 2 shapes it will be easier to solve

Answer:

6 miles

Step-by-step explanation:

Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.

The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem

10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park

100 = 64 + x^2

100 - 64 = x^2

36 = x^2

6^2 = x^2

x = 6

The distance between the  candy store and the skate park is 6 miles

Answer:

n+5×4-7

Step-by-step explanation:

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

Answer:

Step-by-step explanation:

The common denominator of these 2 fractions is 10.

Turn the mixed number 3 4/5 into an improper fraction which would be

19/5.

Then multiply the numerator and denominator with 2 to get the denominator to be 10.

19/5 x 2 = 38/10

Now turn 2 1/10 into an improper fraction= 21/10

Now subtract...

38/10 - 21/10 = 17/10

So Timberly spent 17/10  or  1 7/10 more hours then Misty at the gymnastics practice

Answer:

If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side.

have a great day and easter

The Inequality Theorem states that, If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.

A triangle is a polygon with three edges and three vertices.

Triangle Inequality Theorem :-

If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.

For example :-

Consider a triangle RQS,

List the sides of this triangle in increasing order.

Because 30° < 50° < 100°, then RS < QR < QS.

For more references on triangles, click;

https://brainly.com/question/2773823

#SPJ2

Answer:

w= -3, therefore the value of 9w-10= -37

Step-by-step explanation:

i hope this helps :)

Step-by-step explanation:

[tex]2(6)( - 2) = \\ = 2( - 12) = \\ = - 24[/tex]

Answer:

13^2 is 169

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

13^2 is 13x13= 169

Hope this helps :)

(PS I included an explanation on exponents)

when you have an exponent you multiply the base number by itself as many times as the exponent says.

Example: 13^5

13 x 13 x 13 x 13 x 13= 371,293

Answer:

d = 14

43.96/3.14 = 14

hope that helps

Answer:

The diameter of the pizza should be 14.

Answer:

y = 0.01 * 2ˣ

Step-by-step explanation:

f(x) = xⁿ

0: 0.01 = 0.01 * 2⁰ = 0.01 * 1 = 0.01

1: 0.02 = 0.01 * 2¹ = 0.01 * 2¹ = 0.02

2: 0.04 = 0.01 * 2² = 0.01 * 2² = 0.04

Answer:

4. 28 sq. inch

Step-by-step explanation:

First, Area of the square = l² = 2² = 4

Area of the triangle = 1/2 x b x h

= 1/2 x 2 x 6

= 6

Total surface area = Area of square + 4 x area of triangle

= 4 + 4 x 6

= 28

Answer:

J

Step-by-step explanation:

Answer:

36.4

Step-by-step explanation:

56x.35=19.6

56-19.6=36.4

Answer:

answer is 0.697 !

Step-by-step explanation:

Answer:

C (both)

step by step explanation:

Answer:

Step-by-step explanation:

Substitute the values of (x, y)

(1, 11)

(-1, -5)

Both pairs are solutions

Correct choice is C

Answer:

$46,479

Step-by-step explanation:

22% of 49478 is 10885.

You add them.

60363.

Then take 23% of that which is 13883.

Then subtract them.

$46,479

Hope this helps