One equation in a system of equations is y=2x+10. Which equation below would have to be the second equation so that the system has infinitely many solutions?

Answer:

(-8, 8)

Step-by-step explanation:

Plug in the y from the top equation into the y of the bottom equation

x² + (x + 16)² = 128

x² + x² + 32x + 256 = 128

Subtract 128 from both sides to make it equal to zero

2x² + 32x + 256 = 128

                 - 128    - 128

2x² + 32x + 128 = 0

Divide both sides by 2

(2x² + 32x + 128)2 = 0/2

x² + 16x + 64 = 0

Factor the equation

(x + 8)(x + 8) = 0

We see that x will have to be -8 for it to equal zero

so x = -8

Plug the new x into one of the original equations; let's use the top one

y = -8 + 16

y = 8

Answer:

a/

36s ~ 360º

1s ~ ?

so 1 * 360 / 36 = 10º

b/

36*3/4=27s (closest)

36*1/4=9s (farthest)

c/

20ft

Answer:

a) 10°

b) closest:  27 seconds

farthest: 9 seconds

c) 20 ft

Step-by-step explanation:

a) Angles around a point add up to 360°, therefore 1 rotation = 360°

If it makes one rotation in 36 seconds, then there are 10° per second as  360/36 = 10

b) closest to wall:  this will be a 3/4 rotation:

3/4 of 36 seconds = 0.75 x 36 = 27 seconds

farthest from wall:  1/4 rotation:

1/4 of 36 = 0.25 x 36 = 9 seconds

c) 18 seconds is half of 36 seconds.  Therefore, you will have made a 1/2 rotation.  So you will be on the same horizontal plane as the start position, but on the opposite side of the circle (see attached diagram).

Therefore, you will be 20ft away from the wall (shown in blue).

Answer:

75.01 sq units

Step-by-step explanation:

Here,

[tex]\theta=m\angle EFG=86\degree[/tex]

[tex]r=EF=10\: units [/tex]

[tex]Area\: of \:sector= \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{ 86 \degree}{360 \degree} \times 3.14\: {(10)}^{2} \\ \\ = \frac{86 \times 314}{360} \\ \\ = 75.01 \: {units}^{2} [/tex]

Answer:

Step-by-step explanation:

Step-by-step explanation:

given:- M=35

to find :- r and g

r=90

m=35 let G be = x

m+r+g=180

35+90+x=180

125+x=180

x=180-125

x=55

hope this helps you

have a nice day :)

Answer: 1 is correct

2 is correct

3 is correct

4 is correct

5 is correct

6 is correct

7 is correct

8 is wrong it should be because you wouldn't add you would subtract it and the other number is negative so it would be x=-26

9 is correct

10 is correct

13 is correct

14 I think is correct

I think 15 is incorrect because if he says one less than twice the number of last year then I think you first should subtract 1 from 25 and then divide by 2 this would give you  17 packages

and I think 16 is correct too.

Hope this helped

Step-by-step explanation:

Answer:

The same lines have infinite many solutions.

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

Vertical angles are opposite angles made by intersecting lines.
Any of these would apply: 1,6 or 2,5 or 3,8 or 4,7

Supplementary angles are two angles that add up to 180. Any two angles that are side by side are 180. For example 1,2 or 4,8 etc..

Answer:

supplementary = <5 and <1

vertical = <5 and <2

Answer:

  88

Step-by-step explanation:

Imagine a line through City Hall parallel to the given streets. The angle between that and the path to Euclid Street is 51°, congruent with the alternate interior angle marked 51°.

The angle between our imaginary line and the path to Lambert Street is 37°, congruent with the alternate interior angle marked 37°.

The value of x° is the sum of those two angles:

  x° = 51° +37°

  x = 88

__

Alternate solution

If you extend the path to Euclid Street until it intersects Lambert Street, the alternate interior angle theorem tells you the angle it makes with Lambert Street is 51°. The angle x° is an external angle to the triangle that now has 51° and 37° as remote interior angles. As such, x is the sum of 51 and 37:

  x = 51 +37 = 88

There is 201 feet of fencing are needed to go around the pool path.

Given

A circular swimming pool has a radius of 28 ft.

There is a path all the way around the pool that is 4 ft wide.

A fence is going to be built around the outside edge of the pool path.

A circle has a radius of 28 feet.

A larger circle goes around the smaller circle that is 4 feet wide.

For the length of the fence, we need to find the circumference of the outside of the pool path.

The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.

= 28 + 4 = 32 feet

The radius is then equal to 32 feet.

The circumference of the outer edge of the pool path would be equal to the perimeter;

[tex]\rm Perimeter = 2\pi r[/tex]

Where r is the radius.

Substitute all the values in the formula;

[tex]\rm Perimeter = 2\pi r\\\\\rm Perimeter = 2\times 3.14 \times 32\\\\Perimeter = 201[/tex]

Hence, there is 201 feet of fencing are needed to go around the pool path.

To know more about perimeter click the link given below.

https://brainly.com/question/6465134

Answer:

D; 201 is correct

Step-by-step explanation:

Edge

Answer:

y = 6

Step-by-step explanation:

Line QM is the midsegment of KJ and if KP is 9 and PJ is 3 then KJ is 12 so that means QM is half of line KJ because of midsegment therom so QM is 6

Step-by-step explanation:

Substitute X for the amount Annie spent

4x-$64 = 100

4x = $164

x = $164/4

x = $41

Hi there!

We are given a point that the line passes through and the slope of the line, so we can use Point-Slope Form:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

In this case, y₁=7, m=9, and x₁=2.

Plug in the values:

[tex]\mathrm{y-7=9(x-2)}[/tex]

Now, turn it into Slope-Intercept:

[tex]\rm{y-7=9x-18[/tex]

Move -7 to the right:

[tex]\rm{y=9x-18+7}[/tex]

Add:

[tex]\rm{y=9x-11[/tex] (Answer)

Hope it helps!

Enjoy your day/night!

Please feel free to ask if you have any doubts.

-Sparkles-

Answer:

Johnny ‎football ‎balcony ‎176t +

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I just need for the points

Answer:

54

Step-by-step explanation:

6 pennies per pile x 9 piles = 54 pennies

Answer:

54 pennies

Step-by-step explanation:

6 pennies = 1 pile

6 x 9 = 54

Answer:

Box-and-whisker plot

Step-by-step explanation:

Box-and-whisker plot is a graph commonly used to not only find the mean but find the minimum, maximum, third and first quartile. In order to calculate the mean of a set of data, you have to rearrange the data and the middle number separating one half of the set, from the other half of the set is the mean. Box-and-whisker plot can accurately show the average grade on this math test.

Hope this helps.

Answer:

x=3

Step-by-step explanation:

1. Simplify the expression

7x-\left(3\cdot\left(x-6\right)\right)=30

Solve by distributing:

7x-\left(3x+3\cdot-6\right)=30

Simplify the arithmetic:

7x-\left(3x-18\right)=30

Expand the parentheses:

7x-3x+18=30

Simplify the arithmetic:

4x+18=30

Step-by-step explanation:

1) -5/2 = -2.5

2) 7/5 = 1.4

-2.5 ÷ 1.4 = -1.785....

Hope this helps!

Answer:

Explanation:

V = kT

[ where k is constant ]

277 = k(2.1883)

k = [tex]\frac{277}{2.1883}[/tex]

k = 126.6

Vk = T

277k = 2.1883

k = 2.1883/277

k = [tex]7.9 * 10^{-3}[/tex]

V * [tex]7.9 * 10^{-3}[/tex] = T

T = 0.0079V

Answer:

What is 1/500 as a decimal? To write 1/500 as a decimal you have to divide numerator by the denominator of the fraction. So the answer is 0.002

Step-by-step explanation:

Im smart lol

Answer:

0.002

Step-by-step explanation:

I hope this helps!!!

Brainliest?

Answer:

p= 0

p= 1/4

............

Answer:

C. [tex]\frac{1}{3}y-\frac{7}{5}x+\frac{2}{3}-\frac{2}{3}y-\frac{4}{9}[/tex] matches with [tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=-\frac{7}{5}x+\frac{2}{3}-\frac{4}{9}[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=\frac{2}{9}-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x=-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x+\frac{7}{5}x=-\frac{7}{5}x+\frac{7}{5}x[/tex]

[tex]0=0[/tex]

matched coefficients of x and y, therefore found the answer.

Answer:

$1,560

Step-by-step explanation:

Interest = Principal x Interest Rate x Time (in years)

I = 6500(.04)(6)

I = 1560

Answer:

D

Step-by-step explanation:

A recursive formula lets us calculate a term in the sequence by multiplying the previous term by the common ratio r

for the sequence

- 3, 9 , - 27 , 81....

the common ratio r is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

Then the recursive formula is

f(n) = - 3 f(n - 1) if n > 1

f(1) = - 3

option D

Answer:

D)

Step-by-step explanation:

A recursive formula always has two parts: the value of an initial term (or terms), and an equation defining [tex]a_n[/tex]​​ in terms of preceding terms.

From inspection, the initial term is -3

[tex]\implies a_1=-3[/tex]

[tex]\implies f(1)=-3[/tex]

From inspection, we can see that each term is the preceding term multiplied by -3.  Therefore, the sequence can be defined as:

[tex]a_n=-3(n-1)[/tex]

[tex]\implies f(n)=-3f(n-1)[/tex]

So the recursive formula for the sequence is D)

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)}} \right.[/tex]

Answer:

hello

how are you?

x=125

y=55