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polet [3.4K]
3 years ago
11

How to find vertex form

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7

Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a} 

Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3

Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...

3^2 = 9
-6 * 3 = -18
+7

9 - 18 + 7
A.O.S (or y) = -2

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Point A is the midpoint of side XZ and point B is the
Katyanochek1 [597]

Answer:

Option (2)

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Point A is the midpoint of side XZ and point B is the  midpoint of side YZ.

Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.

What is AX ?

2 units

4 units

6 units

8 units

From the figure attached,

XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.

By the theorem of midpoints,

AB = \frac{1}{2}\text{(XY)}

Since AB = (x + 1) and XY = (5x - 7)

(x + 1) = \frac{1}{2}(5x-7)

2x + 2 = 5x - 7

5x - 2x = 2 + 7

3x = 9

x = 3

Therefore, side AB = 3 + 1 = 4 units

Side XY = (5x - 7)

             = 15 - 7

             = 8 units

Side XA = 2(x - 1)

              = 4 units

Therefore, Option (2) will be the answer.

6 0
4 years ago
Heyyyyy pleasse help me please please and thank you
dimulka [17.4K]

Answer:

x ≈ 33.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{125}{192} , then

x = tan^{-1} ( \frac{125}{192} ) ≈ 33.1° ( to the nearest tenth )

7 0
3 years ago
A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of
mamaluj [8]

Answer:

It is an unusual result contradicting the national survey.

Step-by-step explanation:

National survey showed 44% of college students who drink.

The professor's survey showed that 96/244 = 39% drink.

The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.

Standard deviation is the spread of a set of numbers from their mean.  In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.

4 0
3 years ago
If ab= 1 , bc = -9, c =-b and c < -a, what is the value a + b ?
MaRussiya [10]
1/3+3

Ab=1
-b^²=-9
B=3
A=1/3
a+b=1/3+3


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3 years ago
HELP I NEED HELP ASAP
Monica [59]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
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