Which equation shows the vertex form of a quadratic equation with vertex (2, 5)?
A: f(x) = a(x – 2)^2 + 5
B: f(x) = a(x + 2) ^2+ 5
C: f(x) = a(x – 2)^2 – 5
D: f(x) = a(x + 2) ^2– 5

Answer:

28.4

Step-by-step explanation:

IJ corresponds to FG, and JK corresponds to GH. So, x/6 = 52/11. 11x = 312, x = 28.36, which rounds to 28.4

Answer:

No, Albert's answer is not correct

Step-by-step explanation:

For illustrative purposes, let's say the object is a rectangle with width 2cm and length 6cm.  

Therefore, area = width x length = 2 x 6 = 12 cm²

If the scale factor is 1 : 3, then each side of the real object should be 3 times larger than the scale drawing.

So the width = 2 x 3 = 6 cm

and the length = 6 x 3 = 18 cm

Therefore, the area of this rectangle would be 6 x 18 = 108 cm²

So the scale factor of the area is:  12 : 108 = 1 : 9

so Alberto's answer is incorrect, as 12 : 36 is NOT 1 : 9

Answer:

x - 2

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

Here f(2) = 0 , then x - 2 is a factor of f(x)

Hope It's Helps! :)

          The value of x in the algebraic expression is -2.5

An algebraic expression is the representation of numbers with variables with the purpose of solving for the variable. The variables are expressed by using alphabetical letters, here it is (x).

From the given algebraic expression, we have:

4x + 2 = -8

Collect like terms

4x = -8 - 2

4x = - 10

Divide both sides by 4

[tex]\mathbf{\dfrac{4x}{4} = \dfrac{-10}{4}}[/tex]

x = -2.5

Learn more about algebraic expression here:

https://brainly.com/question/4344214

Answer:

y = x/5 - 4

second option is the correct answer.

Step-by-step explanation:

y = -5x+4

y = mx+b

m = -5

Now

Slope of the line perpendicular to a line would be the negative proprtional of the slope of the line.

so,

For the points (5,-3) and (10,-2)

m = 1/5

y = mx + b

or, -3 = 1/5 × x + b

or, -3 = 1/5 × 5 + b

or, -3 = 1+b

so, b = -4

Now,

y = mx+b

or, y = 1/5 × x + (-4)

or, y = x/5 - 4

t = 0.05125c

please give brainliest

Answer:

The mean is 30

Step-by-step explanation:

To find the mean you add up all the numbers then divide how many numbers there are.....

10+20+30+40+50=150

150/5= 30

Hope this helps<3

Answer:

3. x[tex]\leq[/tex]-1    

5. n[tex]\geq[/tex]6

7. n[tex]>[/tex]11

Step-by-step explanation:

3. -7+x[tex]\geq[/tex]-8              5. n-2[tex]\leq[/tex]4           7.  -18+n[tex]<[/tex]-7  

   +7     +7                   +2 +2                +18    +18

    x[tex]\leq[/tex]-1                          n[tex]\geq[/tex]6                     n[tex]>[/tex]11

Answer:

IN THIRD STEP

Step-by-step explanation:

14/5-6 HE DIDNT TOOK LCM AND CUT 5 WITH THE ANOTHER 5 WHICH IS OUTSIDE

Given: [tex] {x}^{2} - 7x + 7y - {y}^{2} [/tex]

Now factoring them,

[tex] = > (x - y)(x + y) - 7(x - y)[/tex]

[tex] = > (x - y)(x + y - 7)[/tex]

Therefore, the answer to the question is [tex] (x - y)(x + y - 7)[/tex]

Answer:

9

Step-by-step explanation:

Since you have a right triangle, you can use the Pythagorean theorem.

a² + b² = c²

x² + 5² = 10²

x² + 25 = 100

x² = 75

x = √75

x = 5√3 = 8.66...

x = 9

Answer:

y=-x-5

-x+5(-x-5)=-7

-x-5x-25=-7

-6x=18

x=-3

-(-3)+5y=-7

3+5y=-7

5y=-10

y=-2

solution

(-3,-2)

Hope This Helps!!!

Step-by-step explanation:

-x+5y= -7

x+y=-5

add both equation to eliminate x

6y=12 :. y=2

substitute y =2 in equation (2)

x +2 =. -5

x = -5+2 = -3

:. y=-2 ,x = -3

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Answer:

I believe the answer is x less than > with a line under it 83.33.

Answer:

203 m

Step-by-step explanation:

Set up a proportion and solve it.

drawing size     :     real size

      14 cm          :           x

       2 cm          :          29 m

14/x = 2/29

2x = 14 × 29

x = 7 × 29

x = 203

Answer: 203 m

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857[/tex]

[tex]P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429[/tex]

Hence:

[tex]p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286[/tex]

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

Answer:

8

Step-by-step explanation:

10x+14=94 so it will be x=8

Answer:none

Step-by-step explanation:

You must mean 64 instead of 46.Because 29+20+15=64 but none would agree to dislike both popcorn not peanuts.

she started jumping rope at 7:45

Answer:

The answer is A, C, and D

Step-by-step explanation:

Answer:

B (atleast from my calculations)

Step-by-step explanation:

The top dot is on 2 on the x axis and on 4 on the y axis so

Y=x+2

4=2+2

Hope this helps

Answer:

-1

Step-by-step explanation:

Use Rise/Run and since the line is negative the slope will be negative

Answer:

The Angle-Side-Angle Postulate (ASA)

Step-by-step explanation: