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Temka [501]
2 years ago
7

Whats the vertex at of y-13=2(x+4)^2

Mathematics
2 answers:
Kipish [7]2 years ago
7 0
The vertex form:
y=a(x-h)^2+k
(h,k) - the coordinates of the vertex

y-13=2(x+4)^2 \\
y=2(x+4)^2+13 \\
y=2(x-(-4))^2+13 \\ \\
h=-4 \\ k=13

The coordinates of the vertex are (-4,13).
sashaice [31]2 years ago
4 0
The coordinates of the vertex are (-4,13).
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Given the formula y = -1/2x - 4, what is the slope and y-intercept of the graph? PLEASE HELP!​
svet-max [94.6K]

Answer:

the slope is -1/2 and the y-intercept is -4

Step-by-step explanation:

The original formula is y=mx+b. m is the slope of the graph and b is the y-intercept. You just plug in the numbers to the original formula to get the formula for the graph. The slope is always the number that is right next to the x, or the number which is multiplied by the x. The y-intercept is always the number that is not by x.

8 0
2 years ago
Which statement is true? the equation –3|2x 1.2| = –1 has no solution. the equation 3.5|6x – 2| = 3.5 has one solution. the equa
vampirchik [111]

The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

<h3>How to find one solution of equation?</h3>

If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.

The three types of solution of an equation are-

  • One solution-When the provides the singe value of the given variable, we get one or unique solution.
  • No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.
  • Infinite many solution-For the same line, the equation has the infinite many solutions.

The first equation given in the problem is,

-3|2x+ 1.2| = -1

This equation has one solution. This in not correct option.

The second equation given in the problem is,

3.5|6x - 2| = 3.5 \\|6x-2|=0\\6x=2\\x=\dfrac{2}{6}\\x=\dfrac{1}{3}

This equation has one solution. This in correct option.

Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

Learn more about the solution of the equation here;

brainly.com/question/21283540

7 0
2 years ago
Can somebody help me on 23 and 24, it’s geometry
Luda [366]

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Step-by-step explanation:

As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE

<u>Question number 23:</u>

Given

DS = 3x+10

SE = 6x-2

As the two segments are equal:

DS = SE\\3x+10 = 6x-2

Subtracting 10 from both sides

3x+10-10 = 6x-2-10\\3x = 6x-12

subtracting 6x from both sides

3x -6x = 6x-6x-12\\-3x = -12

Dividing both sides by -3

\frac{-3x}{-3} = \frac{-12}{-3}\\x = 4

Now

DS = 3x+10\\= 3(4)+10\\= 12+10\\=22

And

SE = 6x-2\\= 6(4)-2\\= 24 - 2\\=22\\DE = DS+SE\\= 22+22\\=44

<u>Question No 24:</u>

Given

DS = x+3

DE = 56

We know that:

DS = \frac{1}{2}DE\\x+3 = \frac{56}{2}\\x + 3 = 28\\x = 28-3\\x = 25

So

DS = 25+3 = 28

As DS is 28, SE will also be 28

Hence,

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Keywords: Bisector, Line segment

Learn more about line segments at:

  • brainly.com/question/629998
  • brainly.com/question/6208262

#LearnwithBrainly

4 0
3 years ago
Jamie takes 1/4 yard strips of ribbon and cuts them into pieces that are 1/3 the length. How long are the resulting pieces of ri
AleksandrR [38]

Answer: 1/12 yards

Step-by-step explanation:

The length of the pieces originally were 1/4 yards.

Jamie then cuts them into a 1/3 of their original length.

The new length is therefore:

= Original length * proportion of original length strips are cut into

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andrew-mc [135]

62525262626

Step-by-step explanation:

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