y-6=4(x+5) what is y and x intercept?

Answers

Answer 1

Answer:

x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)

Step-by-step explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

[tex](0)-6=4(x+5)[/tex]

Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]

[tex]4(x+5)=(0)-6[/tex]

Subtract 6 from 0.

[tex]4(x+5)=-6[/tex]

Divide each term in [tex]4(x+5)=-6[/tex] by 4.

[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]

Cancel the common factor of 4.

[tex]x+5=\frac{-6}{4}[/tex]

Simplify [tex]\frac{-6}{4}[/tex]

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

Subtract 5 from both sides of the equation.

[tex]x=-\frac{3}{2} -5[/tex]

To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]

[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]

Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].

[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]

Combine the numerators over the common denominator.

[tex]x=\frac{-3-5*2}{2}[/tex]

Simplify the numerator.

[tex]x=\frac{-13}{2}[/tex]

Move the negative in front of the fraction.

[tex]x=-\frac{13}{2}[/tex]

x = [tex](-\frac{13}{2} ,0)[/tex]

-----------------------------------------------------------------------------------------------------

Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

[tex]y-6=4((0)+5)[/tex]

Add 0 and 5.

[tex]y-6=4 *5[/tex]

Multiply 4 by 5.

[tex]y-6=20[/tex]

Add 6 to both sides of the equation.

[tex]y=20+6[/tex]

Add 20 and 6.

[tex]y=26[/tex]

y = (0, 26)


Related Questions

Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?


WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH

Answers

Answer:

12

Step-by-step explanation:

The answer is 12 hope this helps

What is the surface area of this right cone?

Answers

Answer:

Step-by-step explanation:

Slant height s = 12

Radius r = 8

Lateral area of cone = πrs = 96π units²

Base area of cone = πr² 64π units²

Surface area = 96π + 64π = 160π units²

Find (from (3)

f(x) = x^2 - x

Answers

Answer:

I think the answer is 6.......

Find the area of this circle. Use 3.14 for . 84in

Answers

Answer:

22155.84 in

Step-by-step explanation:

r = 84 in

π = 3.14

then area if circle = r² × π

… A = 84² × π = 22155.84 = ( 22.15584 min )

Question I need to Answer: How many beats can a heart pound in 20 minutes?

Answers

Answer:

1300

Step-by-step explanation:

4 times 5 = 20

260 times 5 = 1300

Answer:

1300 times

Step-by-step explanation:

195 is is 3 X 65 so dividing 195 by 3 gets you 65

65 X 20 = 1300

Which is the domain of the function f(x) =
12
- 2?
Vx+4
O A. x20
O
B. x>-4
o
C. x>-2
D. x>-4
E. all real numbers

Answers

Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The domain of the function is x> -4.

The correct option is B.

We have the function

f(x) = 12/ √(x+ 4) - 2

Now, putting f(x) = 0

12/ √(x+ 4) - 2 = 0

12 -  2√(x+ 4) = 0

-2√(x+ 4) = -12

√(x+ 4) = 6

Taking Square on both side we get

x+ 4 = ±36

x = ± 36 - 4

x = 32 or x= -40

Thus, the domain of the function is x> -4.

Learn more about Function here:

https://brainly.com/question/12431044

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Trigonometry, Law of Cosines.

Select the angle that correctly completes the law of cosines for this triangle.

Answers

Answer:

C. [tex]\displaystyle 74°[/tex]

Step-by-step explanation:

[tex]\displaystyle c^2 + b^2 - 2cb\:cos∠A = a^2[/tex]

In the EDGE formula of the Law of Cosines, whatever squared edge term is on the outside of the equivalence symbol, its angle measure is what you write next to the trigonometric function, if you understand the formula written above.

I am joyous to assist you at any time.

What are the roots of the equation x^2+8x+32=0 in simplest a+bi form?

Answers

Answer:

x =  -4 ± i4

Step-by-step explanation:

This is a quadratic equation with coefficients {1, 8, 32}.  We apply the quadratic formula to solve for x.  The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.  

A negative discriminant indicates that this quadratic has two unequal complex roots.  

                               -b ± √(b^2 - 4ac)

The formula is x = ----------------------------

                                         2a

which, when evaluated at a = 1, b = 8 and c= 32, yields

                               -8 ± √(-64)

The formula is x = ----------------------------

                                         2(1)

or:

                               -8 ± i√64                

The formula is x = -----------------   = x =  -4 ± i4

                                        2

how do I multiply and divided exponent denominator and numerator

Answers

Wassupjhbhbbbbsnd dndbdbbdbdhdbd

9. A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?
A. 19.80
B. 18.71
C. 70.20
D. 71.29

Answers

First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.

If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.

Use the tangent ratio to find the angle of sun shining.

[tex] \large \boxed{ \tan \theta = \frac{opposite}{adjacent} }[/tex]

Substitute adjacent = 21 and opposite = 62 in the ratio.

[tex] \large{tan \theta = \frac{62}{21} }[/tex]

For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.

From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29

Answer

The answer is 71.29

Answer:

71.29°

Step-by-step explanation:

By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .

For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .

Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,

[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]

where theta is the angle between the Ray of the the sun and the the shadow of the building.

Plug in the respective values , we have ,

[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]

Hence the required answer is 71.29° .

Which negative angle is equivalent to 285 degrees?
A.-85 degrees
B.-95 degrees
C.-65 degrees
D. -75 degrees

Answers

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

How to find a negative coterminal angle?

In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:

θ' = θ + i · 360°     (1)

Where i is the index of the coterminal angle.

If we know that θ = 285° and i = - 1, then the negative angle is:

θ' = 285° + (- 1) · 360°

θ' = - 75°

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

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pls help in the middle of my final lol

Answers

Answer:

b) 2

Step-by-step explanation:

both angles have the same values, they are technically opposites.

Set your formula up as

130 = 66x - 2

130 + 2 = 66x

132/66 = x

2 = x

I would really appreciate someone helping me with this one.

About 20,000 white and brown beans were mixed in a bag. You take out 400 beans randomly from the bag. Of these, 220 are brown and 180 are white. How many white beans should be in the bag from the beginning?

Answers

Answer:

9,000

Step-by-step explanation:

180/400 × 20,000 = 9,000

Answer:

9,000

Step-by-step explanation:

180÷400= 0.45

0.45×20,000= 9,000

Help me please I really need help

Answers

Answer:

[tex]17\sqrt{2}[/tex] ft

Step-by-step explanation:

take angle b as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC

BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]

BC = 17 * [tex]\sqrt{2}[/tex]

BC =  [tex]17\sqrt{2}[/tex] ft

Answer:

BC = 17[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 17[tex]\sqrt{2}[/tex] ft

The point D(-4,-2) Is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, D' ?​

Answers

Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,-y)

D(-4,-2)=D'(4,2)

A tool box has the dimensions of 9 in by 3 in by 5 in. If Jesse plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer:

No, the volume will be incresed by 8 times (2x2x2=8)

Step-by-step explanation:

[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]

Question 1 of 10
Classify the following triangle. Check all that apply.
60
60
60
O A. Isosceles
B. Equilateral
O C. Scalene
O D. Acute
E. Right

Answers

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log(2) + log(1/6)
B. log 2
C.log(1/3)
D. log 3

Answers

Answer:

is there  a picture or something i cant understand

Step-by-step explanation:

Answer:

C. log(1/3)

Step-by-step explanation:

log a - log b = log(a/b)

2 x 12 divided by (2 + 6) +2^3

Answers

Answer:

11

Step-by-step explanation:

To add fractions, find the LCD and then combine or Pemdas

Answer:

Your answer should be 1.5

Step-by-step explanation:

Can I get brainliest

Which expression represents the series 1+5+25+125+625

Answers

Answer:

[tex]1 = {5}^{0} [/tex]

[tex]5 = {5}^{1} [/tex]

[tex]25 = {5}^{2} [/tex]

[tex]125 = {5}^{3} [/tex]

[tex]625 = {5}^{4} [/tex]

option A is correct, it starts with the power of zero (equals always one, see it as

[tex] \frac{5}{5} [/tex]

and it goes up to the power of 4

Letter D thanks for asking for help

How do I solve this. Please help!!

Answers

Answer:

x = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then using the upper 45°

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 4[tex]\sqrt{2}[/tex]

Find the circumcenter of a triangle ABC with vertices at A(2, 2), B(0, -4), and C(7, -1)
20 POINTS PEOPLE

Answers

Answer:

just sum up the 3 sides.

quick side note: I lost my previews writing bc I waited too long too post it :(

but long story short: you get the length of, say, AB by using pythagoras theorem.

[tex] \sqrt{ {2}^{2} + {6}^{2} } [/tex]

do this with BC and CA too

the 2 is just the distance in x-direction and the 6 is just the distance in y-direction

and since a²+b²=c², we need to take the root to get the distance between 2 points

see screenshot for summing up the three distances. the part out of screen is written out above

the sum is 21.011 length units

hope it helps. have a nice day.

feel free to ask questions.

and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least

The width of an extra large rectangle poster is 8 inches more than half its length.The area of this poster is 306 square inches

Answers

Answer:

a² + 16a - 612 = 0

Step-by-step explanation:

Here is the complete question :

The width of an extra large rectangle poster is 8 inches more than half its length. The area of this poster is 306 square inches

Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.

Area of a rectangle = length x width

Let length = a

width = 8 + 1/2a

Area =  (8 + 1/2a) x a

306 =  (8 + 1/2a) x a

multiply both sides of the equation by 2

612 = 16a + a²

a² + 16a - 612 = 0

the dimensions of the poster can be determined using quadratic formula

please help, i attached a photo.

Answers

Answer:

yes..

Step-by-step explanation:

what is 6t + 3t + 4 simplified?

Answers

Answer:

9t + 4

Step-by-step explanation:

6t + 3t + 4

= 9t +4

What is the inverse (opposite) of addition? *
pls i will give brainliest

Answers

Answer:

subtraction

Step-by-step explanation:

because if you add in addition you would take away when you subtract

Answer:

la inversa de la suma es la resta

Step-by-step explanation:

The ratio of positive reviews to negative reviews on David's customer feedback website is 3:5. There are 352 reviews on David's website Part A: What fraction of the reviews on David's website is positive? What fraction is negative? Explain your reasoning. Part B: How many positive reviews would need to be added to David's website to make the ratio of positive reviews to negative reviews equal to 1: 1? Explain your reasoning ​

Answers

Answer:

Part A

positive=132

negative=220

Part B=88

Step-by-step explanation:

Part A

3:5

positive: negative

3+5=8

352/8=44

3x44=132 positive or 3/8 of 352

5x44=220 negative 5/8 0f 352

Part B

220

-132

---------------

     88

(ii) 3x - 5y - 4 = 0 and 9x = 2y +7​

Answers

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

80 25 x pls help me with this one

Answers

Answer:

25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Okay so as you can see there is an x shape and whenever you have that it means they are verticle angles. So we can conclude that 25 is verticle to x and so x is equal to 25.

Which algebraic expression would NOT be equivalent if the number and the variable were reversed? A. N+8 B. M−5 C. K×8 D. 4+x

Answers

Answer:

B)  M-5

Step-by-step explanation:

the commutative property does not apply to subtraction or division, only addition and multiplication

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