1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tangare [24]
3 years ago
9

Complete the square to re-write the quadratic function in vertex form: y = x2+ 10x - 2

Mathematics
1 answer:
Blababa [14]3 years ago
8 0

Answer:

<h3>             \bold{y=(x+5)^2-27}</h3>

Step-by-step explanation:

                                      y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27

You might be interested in
Mrs. Virtueson has 1/4 of a pecan pie. She wants to give half
cricket20 [7]

Answer:

What fractional part of a pie will each get

each will get 1/8

6 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the
alexgriva [62]

Answer:

The slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Step-by-step explanation:

From the line equation, let us take two points

  • (0, 2)
  • (4, 1)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)

m=\frac{1-2}{4-0}

m=-\frac{1}{4}

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

-\frac{1}{-\frac{1}{4}}=4

Thus, the slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

5 0
3 years ago
What is the x-intercept of the equation: 3x+6y=42
vlabodo [156]

Answer:

( 14 , 0 )

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Ashley bought 14 rainbow and balloon stickers for her little sister. The rainbow stickers cost 6 cents apiece and the balloon st
Morgarella [4.7K]

Answer:

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

Step-by-step explanation:

Let the number of rainbow sticker be x and number of balloon stickers be y.

Cost a single rainbow sticker= 6 cents

Cost a single balloon sticker= 4 cents

Cost a single x rainbow sticker= 6 cents × x

Cost a single y balloon sticker= 4 cents × y

Total number of stickers bought = 14

x + y =14 ..[1]

Total money spend on stickers = 68 cents

6x cents+4y cents=68 cents

6x+4y=68...[2]

Putting value of from [1] into [2];

x = 14 - y

6(14-y)+ 4y=68

84-6y+4y=68

-2y=-16

y=\frac{-16}{-2}=8

x = 14 -y =14 - 8 = 6

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

3 0
3 years ago
The number of bacteria in a petri dish is 524 and growing at a rate of 7% every month.
kicyunya [14]
This is an exponential growth problem.
y = 524(1.07)^7
y = 841 bacteria after 7 months
7 0
3 years ago
Read 2 more answers
Other questions:
  • Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:
    13·1 answer
  • Pythagorean Theorem: Jason only has room for a TV that is less than 30^ prime prime wide.
    5·2 answers
  • Last week you watch four hours of TV this week you watched eight hours TV place points on the graph to show your activity for la
    5·1 answer
  • The ratio of the width to the length of a rectangle is 3:7. The shorter side is 9 inches long. What is the longer side and also
    9·2 answers
  • a tree was 62 inches tall. Three years later, it was 101 inches tall. What was the percent increase, to the nearest hundredth, o
    6·1 answer
  • In football, a field goal counts 3 points and extra points after touchdowns count as 1 point. A kicker scores 30 points on 16 ki
    15·1 answer
  • How to do answer 16, 19 and 21? Please show me the solutions. ​
    8·2 answers
  • Lucy is in charge of planning a reception for 2400 people. She is trying to decide which snacks to buy. She has asked a random s
    13·1 answer
  • There were 16 bald eagles in an area some years later there were 28 bald eagle‘s in the area what is the percent game
    11·1 answer
  • 4x + 6 &lt; -22 or 14 &gt; - 6x + 2) 6 using interval notation ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!