What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is

Answer:

the slope is= 3/2

y= (3/2)x + (-4)

Answer:

It's a function

Step-by-step explanation:

Because non of the inputs have the same output

Answer:

[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k)  is the center of the circle and r is the radius.

For this circle, the center is (5, -9) and the radius is 12. Therefore:

[tex]h= 5 \\k= -9 \\r=12[/tex]

Substitute the values into the formula.

[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]

Distrubute the -1 into the -9.

[tex](x-5)^2+(y+9)^2=(12)^2[/tex]

Solve the exponent.

[tex](x-5)^2+(y+9)^2=144[/tex]

The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144

Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.

Mathematically, the standard form of an equation of a circle is given by;

(x - h)² +(y - k)² = r²

Where:

Given the following data:

Substituting the given parameters into the formula, we have;

(x - 5)² +(y - (-9))² = 12²

(x - 5)² +(y + 9)² = 144

Read more on circle here: https://brainly.com/question/14078280

#SPJ2

Answer:

Proved

Step-by-step explanation:

Given

[tex](n+5)^2-(n+3)^2[/tex]

Required

Show that [tex](n+5)^2-(n+3)^2[/tex] is a multiple of 4

Expand each bracket

[tex](n+5)(n+5)-(n+3)(n+3)[/tex]

Open brackets

[tex]n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)[/tex]

[tex]n^2 + 10x + 25 - (n^2 + 6x + 9)[/tex]

Open bracket

[tex]n^2 + 10x + 25 - n^2 - 6x - 9[/tex]

Collect Like Terms

[tex]- n^2 + n^2 - 6n + 10n + 25 - 9[/tex]

[tex]- 6n + 10n + 25 - 9[/tex]

[tex]4n + 25 - 9[/tex]

[tex]4n + 16[/tex]

Factorize

[tex]4(n + 4)[/tex]

Hence, the multiples of [tex](n+5)^2-(n+3)^2[/tex] are [tex]4[/tex] and [tex](n + 4)[/tex]

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

Answer:

k = -7

Step-by-step explanation:

Given

x² - x - 42 = (x + k)(x + 6)

Required

Find k

x² - x - 42 = (x + k)(x + 6)

Expand the left hand side

x²-7x + 6x - 42 = (x + k)(x+ 6)

Factorize

x(x - 7) + 6(x- 7) = (x + k)(x+ 6)

Further factorize

(x - 7)(x + 6) = (x + k)(x + 6)

By comparison

x + k = x - 7

Subtract x from both sides

k = -7

Answer:

230

Step-by-step explanation:

Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.

Answer:

m< CDF = 58°

Step-by-step explanation:

Key skills needed: Congruent Triangles

1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.

2) Since both triangles have 1 right angle, they are both triangle triangles.

3) Both triangles share the same hypotenuse (DF)

Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC

Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it

HL means Hypotenuse-Leg

This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.

4) Since ΔEDF ≅  ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.

--> To say that < CDF is congruent to < EDF, we can use the theorem:

If Δs are ≅, then all corresponding parts are ≅.

5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)

Since <EDF is 58°, <CDF would also be 58°

Hope you understood and have a nice day!! :D

Step-by-step explanation:

diameter=20/2,radius=10

circumference of circle=2×pi×radius

circumference of circle=2×3.14×10

circumference of circle=62.8

Answer:

405 calories

Step-by-step explanation:

All we have to do is:

9 × 45

I hope this helps!

Answer:

The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Step-by-step explanation:

Given

Principle P = $60

Rate r = 5% = 5/100 = 0.05

Time period t = 12 years

To determine

New Balance A = ?

Using the formula

A = P(1 + rt)

A = 60(1+(0.05×12))

A = $96.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Answer:

3748096

Step-by-step explanation:

Answer: last week she earned $364.

Step-by-step explanation:

Answer:

Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything

Answer:

[tex]m\angle XYV=135^{\circ}[/tex]

Step-by-step explanation:

Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].

The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].

[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.

Therefore,

[tex]m\angle TYU=m\angle XYW=6x+7[/tex]

Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:

[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].

Plugging in [tex]x=8[/tex], we have:

[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].

Therefore,

[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].

Answer:

C.

Step-by-step explanation:

Answer:

y = 4x + 5

Step-by-step explanation:

3y - 12x = 15

Add 12x to both sides.

3y = 12x + 15

Divide by 3 to isolate y.

y = 4x + 5

Answer:

ACTUALLY IT'S, y=4x-5

Step-by-step explanation:

12x-3y=15                          - Get y alone

-12x   =12x                          

-3y=-12x+15

-3y=-12x+15     - Divide.            

__________

-3           -3

y=12/3x-15/3                  -  Distribute division. Negative over a negative is positive. Positive over a negative is a negative.

y=4x-5     - Reduce fractions.

Answer:

Would it not be 20?

Step-by-step explanation:

Answer:

The answer is 20

Step-by-step explanation:

If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm                 All sides of a square are equal

BE = 1/2 BC                  Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2   Perform the sqrs

AE^2 = 400 + 100      Add the terms

AE^2 = 500                Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

Answer:

3/4 / 1/6

keep the first fraction the same

3/4

flip the second fraction

6/1

change the division to a multiplication it should then read

3/4 X 6/1

now multiply the fractions

3 X 6 = 18

4 X 1 = 4

18/4 this can then be turned into a mixed number.

there are four 4's in 18 with two left over. so it becomes

4 2/4 and simplified 4 1/2.

Answer:

C

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

Plug 5 in for m in every equation, and see if the math works.

A.

[tex]m-1=4\\5-1=4\\\\[/tex]

A - works

B.

[tex]m+4=20\\5+4=9[/tex]

B - does not work

C.

[tex]m-3=8\\5-3=2[/tex]

C - does not work

D.

[tex]22+m=25\\22+5=27[/tex]

D - does not work

E.

[tex]12=m+7\\12=5+7[/tex]

E - works

Answer:

A and E just to make it quick hope this helps

Step-by-step explanation:

Answer:

hwope this helps ＼(=^‥^)/’`

Step-by-step explanation:

Answer:

The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.

Step-by-step explanation:

✔️The value of f(x) is -2 also means y = -2.

So, looking at the graph, the corresponding value of x when y = -2 is x = 0.

✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.

From the graph, at x = -2, the corresponding y-value is -5.

Answer:

Step-by-step explanation:

Congruent are angles that are in identical angles. For example the orange colors are congruent because both of the angles are across each other, and because of them being crossed they are both the same degrees making the congruent, same with the blue but instead of being across eachother they are in the angle to the left of the parallel lines that are the same degrees as well.

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

Answer:

(-5,8)

Step-by-step explanation:

Hope this helps ;)

Answer:

a) 11.4

Step-by-step explanation:

cos42=0.74

d²=c²+a²-2caCosD

d²=17²+13²-2×17×13×Cos42

d²=17²+13²-328.47

d²=289+169-328.47

d²=458-328.37

d=√129.63

d=11.4

The length of AC is 11.4 cm and the length of BC is 30.9 cm after solving through trigonometric ratios.

Trigonometric ratios deal with the sides and angles in a right angled triangle. sin, cos, tangent ,cosecant ,secant and cotangent are trigonometric ratios.

ABC and ACD are triangle,

The value of AC will be:

According to cosine formula:

[tex]AC^{2} =AD^{2} +AC^{2} -2AD*AC*Cos D.[/tex]

[tex]AC^{2} =17^{2} +13^{2} -2*17*13* cos 42[/tex]

[tex]AC^{2} =[/tex]289+169-328.47

[tex]AC^{2}[/tex]=129.52

AC=11.4 cm

The value of BC will be as under:

using the sine rule

BC/sin A=CA/sin B=AB/sinC

BC/sin76=11.4/sin 21=AB/sin83

from the first 2 in equal to form

BC/sin 76=11.4/sin 21

BC=30.9

Hence the length of AC=11.4 cm and BC=30.9 cm.

Learn more about trigonometry at https://brainly.com/question/24349828

#SPJ2