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vfiekz [6]
2 years ago
11

(Marking Brainliest) What is the vertex form of the equation?y = x^2 - 4x + 7​

Mathematics
1 answer:
AysviL [449]2 years ago
4 0

Step-by-step explanation:

y = x² - 4x + 7

the general vertex form is

y = m(x-h)² + k

to bring the part "x² -4x" to an expression of (ax + b)² we need to add 4, as "x² - 4x + 4" = (x - 2)².

and since we add 4 there, we need to subtract 4 overall again to keep the value of the expression the same :

y = x² - 4x + 4 + 7 - 4 = (x - 2)² + 7 - 4 = (x - 2)² + 3

and so, that is the vertex form :

y = (x - 2)² + 3

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The number sentence 4x6=6x4 is an example of the what property
monitta

Answer:

commutative property of multiplication

Step-by-step explanation:

The value of the product of the given equation remain the same while the order is reversed

The number sequence 4 × 6 = 6 × 4 is an example of the commutative property of multiplication

Reason:

The given number sentence is 4 × 6 = 6 × 4

Required: The property the number sentence is an example of (represent)

Solution:

The difference between the left and right expression is that the order of the

values being multiplied is changed or reversed (commute)

Therefore, the number sentence states that the value of the multiplication

of two variables remain equal when the places of variables are

interchanged as follows; a × b = b × a

a × b = b × a is an example of commutative property of multiplication

Therefore;

4 × 6 = 6 × 4 is an example of the commutative property of multiplication

5 0
2 years ago
I need the answer ASAP
iVinArrow [24]

Answer:

5

Step-by-step explanation:

When squaring the number 5 (i.e 5^2 ) the answer is 25. 5^{2} is the same thing as 5 times 5. Basically with the square root, you are going backwards, so you are therefore finding the base of it all.

7 0
3 years ago
Read 2 more answers
An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is
Slav-nsk [51]

The length of AD is 32 feet

Step-by-step explanation:

An architect is sketching a blueprint of a patio for a new fence

  • On the blueprint, C is the midpoint of segment AD
  • Point B is the midpoint of segment AC
  • BC = 8 feet

We need to find the length of AD

A mid-point divides a line segments into two equal parts in length

∵ C is the mid-point of AD

- The mid-point C divides the line segments AD into two equal parts

∴ AC = CD

∵ B is the mid point of AC

∴ AB = BC

∵ BC = 8 feet

∴ AB = 8 feet

- AC contains AB and BC

∵ AC = AB + BC

∴ AC = 8 + 8 = 16

∵ AC = CD

∵ AC = 16

∴ CD = 16

- AD contains AC and CD

∵ AD = AC + CD

∴ AD = 16 + 16 = 32

The length of AD is 32 feet

Learn more:

You can learn more about the mid-point in brainly.com/question/3269852

#LearnwithBrainly

3 0
3 years ago
What is the r-value of the following data to three decimal places
Liula [17]

Answer:

option B

-0.953

Step-by-step explanation:

we know that

The<u> correlation coefficient</u> r measures the direction and strength of a linear relationship.The value of r is always between +1 and -1

Using a Excel tool (Correl function)

see the attached table

The value of r is -0.953


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3 years ago
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14 more than the prouduct of the three and nine
Varvara68 [4.7K]
41
3 times 9 is 27
27+14=41
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3 years ago
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