The point (3,−4) lies on the graph of y=(x−5)2+k where k is some constant. Which other point must also lie on the same graph?

Answers

Answer 1

Answer:

The other point lies on the graph is (0, - 8).

Step-by-step explanation:

Point (3, - 4) lies on the graph [tex]y = (x -5)^2 + K[/tex]

So, put x = 3 and y = - 4 in the equation.

[tex]- 4 = ( 3 -5)^2 + K\\\\- 4 = 4 + K \\\\K= - 8[/tex]

So, the equation of graph is

[tex]y = (x - 5)^2 -8[/tex]

Let x = 5 lies on the graph so

[tex]y = (5 -5)^2 -8 \\\\y = -8[/tex]

So, the other point lies on the graph is (0, - 8).


Related Questions

Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response questions worth 4 points each. The entire test is worth 100 points. Let x represent the number of multiple choice questions, and let y represent the number of open response questions.





Write a system of linear equations to represent each situation.

Answers

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

i need help finding m<1 please :)

Answers

Answer

c,116°

Step-by-step explanation:

i don't know how to draw a diagram?

Join ends of chord with the center making angles ∠2,∠3 and angle at the center.

angle at the center=128°

∠1=∠2+90°

∠2=∠3

∠2+∠3+128=180

∠2+∠2+128=180

2∠2=180-128=52

∠2=52/2=26

∠1=26+90=116°

sorry i can't explain properly without picure.

31vw+41uvw+9uvw–11uvw

Combine any like terms in the expression. If there are no like terms, rewrite the expression.

Answers

Answer:

31vw+39uvw . yes we will rewrite the expression

Step-by-step explanation:

41uvw+9uvw=50uvw-11uvw=39uvw

Find an equation for the line that passes through the points (-2,-6) and (6,4).

Answers

Step-by-step explanation:

Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT

Miss Smith save 5% on her recent Starbucks order because she is a Starbucks Rewards member if the cost of per purchase before the discount was $5.20 how much did Miss smith save​

Answers

It would have been $5.48

Answer:

$4.94

Step-by-step explanation:

O  5.20       100%

P                   - 5

N                   95%

0.95 x 5.20 = 4.94

Ms. Smith saved $4..94.

A manufacturer knows that their items have a lengths that are skewed right, with a mean of 10 inches, and standard deviation of 1.6 inches. If 39 items are chosen at random, what is the probability that their mean length is greater than 10.5 inches

Answers

Solution :

Given :

Mean, μ = 10 inches

Standard deviation, σ = 1.6 inches

Sample size is n = 39

Therefore,

[tex]$\mu_{\overline x}=\mu = 10$[/tex]

[tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n } = \frac{1.6}{\sqrt{39}}$[/tex]

               = 0.25

[tex]$P (\overline X > 10.5 ) = P\left( \frac{\overline X - \mu_{\overline x}}{\sigma_{\overline x}} > \frac{10.5 - 10}{0.25} \right)$[/tex]

                      = P( Z >2)

                       = 1 - P(Z < 2)

                       = 1 - 0.97225 (from standard normal table)

                       = 0.0277

                       

I need to know the answer this is confusing

Answers

Answer:

46

Step-by-step explanation:

102 + 32 = 134

180 - 134 = 46

x = 46

Your answer would be 46, you would first add 102, then subtract your answer (134) from 180, and you should get 46

2(x+3)=x-4
please help me <3

Answers

2(x + 3) = x - 4

distribute

2x + 6 = x - 4

either subtract 6 from both sides or add 4. i will be subtracting 6.

2x = x - 10

subtract x from both sides

x = -10

6(x + 2) in the simplest form

Answers

Using the Distributive Property we can put this in its simplest form.

6(x+2)

(6)(x)+(6)(2)

6x+12

Answer:

6x + 12

Step-by-step explanation:

Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.

If using the method of completing the square to solve the quadratic equation x^2+8x+11=0, which number would have to be added to "complete the square"?

Answers

Answer:

4

Step-by-step explanation:

x²+8x+11=0

x²+8x+(+4)²-(+4)²+11=0

Answer:

16

Step-by-step explanation:

x2+8x=  −11−11

28​=4→(4)2=16

x2+8x+16=x2+8x+16=  −11+16−11+16

(x+4)2=  55

16

I need help please anyone

Answers

Answer:

base: 3units

height: 5units

Area:15units square

Step-by-step explanation:

you can count the squares in the figure to know the base and hight.

Area of parallelogram= base x height= 3x5= 15 units square.

please give me brainliest, thanks!

look at pic 10 pts will mark brainilest

Answers

Answer:

Step-by-step explanation:

[tex]9\frac{1}{8} = 2\frac{1}{4} +x[/tex]

[tex]\frac{9*8+1}{8} =\frac{4*2+1}{4} +x[/tex]

[tex]\frac{73}{8} =\frac{9}{4} +x[/tex]

[tex]\frac{73}{8} =\frac{9+4*x}{4}[/tex]

do cross multiplication

[tex]8(4x+9)=4*73\\32x+72=292\\32x=292-72\\x=220/32\\x=6.875[/tex]

Each book weighs 6 ounces. Which Ordered pair is a visible solution if X represents the number of books he orders NY represents the total weight of the books in ounces

Answers

the Answer is (0,0)

Help please (pre algebra)

Answers

Answer:

Step 1: 3t = 51

Step 2: 3t/3 = 51/3

Step 3: t = 17

Step 4: The Green Garage has 17 tires

Hope this helps!

Answer:

3t=51

[tex]\frac{3t}{3}[/tex]=[tex]\frac{51}{3}[/tex]

t=17

The Green Garage has 17 tires.

Step-by-step explanation:

Look at the question carefully

Please help with 15, 17 and 19

Answers

Given:

15. [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]

17. [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]

19. [tex]2^{\log_2100}[/tex]

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]

Using property of logarithms, we get

[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1[/tex]         [tex][\because \log_aa=1][/tex]

Therefore, the value of [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex] is 1.

17. We have,

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]

Using properties of logarithms, we get

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)[/tex]                    [tex][\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}][/tex]

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1[/tex]                 [tex][\because \log_aa=1][/tex]

Therefore, the value of [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex] is -1.

19. We have,

[tex]2^{\log_2100}[/tex]

Using property of logarithms, we get

[tex]2^{\log_2100}=100[/tex]          [tex][\because a^{\log_ax}=x][/tex]

Therefore, the value of [tex]2^{\log_2100}[/tex] is 100.

I need help ASAP please anyone

Answers

Answer:

112

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

4×4= 16×2=32

5×4= 20×2=40

5×4= 20×2=40

Total = 112

Can someone help me with this question please..

Answers

Answer:

The ordered pair would be (2,3)

2 in the first Box

3 in the second

f(x) = 3x + 10
х
f(x)
-3
-2
-1
-4

Answers

The answer is 89 you missed a step

if sec theta = - √30 / 3, find cos theta.
if sin(-theta) = -0.97, find cos (π/2 - theta).

Answers

Step-by-step explanation:

[tex] \cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10} [/tex]

[tex] \cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta [/tex]

Note that

[tex] \sin( - \theta) = - \sin \theta[/tex]

[tex] \cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1[/tex]

Therefore,

[tex] \cos( \frac{\pi}{2} - \theta ) = 0.97[/tex]

Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three, four, five triple)

Answers

Answer:

9, 12

Step-by-step explanation:

Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15

Your cell phone plan costs 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan.

Answers

Answer: Umm lemme try this

Step-by-step explanation:

55+35=x

At Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice
cream alternating with layers of cake. If there are 8 flavors of ice cream, and we count
different cakes based on the order of ice cream layers from top to bottom:
a) how many different cakes can be made if flavors can be repeated?

Answers

Answer:

4096 different cakes can be made if flavors can be repeated.

Step-by-step explanation:

Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:

8 x 8 x 8 x 8 = X

64 x 64 = X

4.096 = X

Therefore, 4096 different cakes can be made if flavors can be repeated.

what is the answer to this? i can’t figure it out.

Answers

9514 1404 393

Answer:

  25 +0i

Step-by-step explanation:

The conjugate of a complex number is that number with the sign of the imaginary part reversed.

For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...

  (-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)

  = 9 +12i -12i -16i² = 9 +16 = 25

The real part of the product is 25; the imaginary part is 0.

  (-3 +4i)(-3 -4i) = 25 +0i

_____

You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Answers

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

What is the solution set for the quadratic inequality x2 – 5 ≤ 0?

Answers

Answer: -4...?

Step-by-step explanation:

for the function x^2+8x+7
evaluate f(4)

Answers

Answer:

I think you would have to plug in 4 as X so it would be 4^2 +8(4)+ 7

that would be 16+ 32 +7 and that would equal 55

When g(x) = 3x, what is g(5)?

Answers

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

Answer:

g(5)= 15

Step-by-step explanation:

g(x) = 3x and in this situation x =5 (  g(5)  )

so substitute x for 5 in the original equation:

g(x) = 3x --> g(5) = 3(5)

which gives you 15. Hope this helps!

Solve the following system. If the​ system's equations are dependent or if there is no​ solution, state this.
12a+35b= 19
24a+8c= 1
28b+8c= 5
A) There is one solution. The solution is (__,__,__)
B) The system is dependent
C) There is no solution

Answers

Answer:

the answer is c .no solution

2. The cost of oranges varies directly with the total mass bought. 2 kg of oranges costs $4.50. Describe the relationship between cost and mass in words. You may want to calculate a unit rate first.​

Answers

Answer:

The relationship between the cost/mass is $2.25/kg.

Step-by-step explanation:

You first need to divide $4.50 / 2, to know what a single kilogram mass costs.

$4.50 / 2 = $2.25

Now that you have this unit rate $2.25, You can multiply/add it.

$4.50 + $2.25 is $6.75, + another $2.25 = $9.00, and so on.

Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 (and your wager) for rolling a 5 or a 2, nothing otherwise. What are your expected net winnings, to the nearest cent?

Answers

Since one dice has 6 numbers
You would have a 2/6 chance or 1/3
You paid $3 so if you rolled both number you would make $10. Then you would have to subtract the cost of $3 from that. So you could win $7. Not sure if you were using on one or 2 dice to roll. You would just count all the numbers on both dice 12. Then you would have a 4 in 12 chance. 4/12 or 1/3 chance.
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