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AlexFokin [52]
2 years ago
12

Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect squar

e? Use x² -4x+4 as an example
Mathematics
2 answers:
san4es73 [151]2 years ago
7 0
1(x-2)^2+0 is the vertex form
Naddika [18.5K]2 years ago
3 0

Answer: Vertex : Maximum (2, 0)

Rules:

  • (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²
  • x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

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Mkey [24]
4 campers per one canoe

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3 years ago
The length of a rectangle is twice the width. The area is 162 yd? Find the length and the width.
Tresset [83]

Answer:

length = 2x = 2(9) = 18 yds

Step-by-step explanation:

Let width = x

Let length = 2x

Area = 162 yd2

 

length × width = Area

 

2x(x) = 162

2x2 = 162

 

Divide by 2 on both sides of equation.

 

x2 = 81

 

Square-root both sides of equation to undo the exponent.

 

x = √(81)

x = 9

 

Substitute this x value into the initial variables.

 

width = x = 9 yds

length = 2x = 2(9) = 18 yds

6 0
3 years ago
Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 ÷ 3/8. ..................
Nataliya [291]
<span>To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find
\frac{1}{4}\div\frac{3}8}

Step 1:
Rewrite it as
\frac{\frac{1}{4}}{\frac{3}{8}}.


Step 2:
Multiply the numerator and the denominator by the reciprocal of
\frac{3}{8}.</span><span>

</span><span>\frac{\frac{1}{4}}{\frac{3}{8}}=\frac{\frac{1}{4}}{\frac{3}{8}}\times\frac{\frac{8}{3}}{\frac{8}{3}}


Step 3:
Simplify the denominator
\frac{\frac{1}{4}\times\frac{8}{3}}{1}                                                                 

Step 4:
Simplify the fraction
</span><span>\frac{1}{4}\times\frac{8}{3}.

We complete the solution as follows:
</span><span><span>\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}</span></span>
3 0
3 years ago
So what is the answer to Which is larger? 3.6 km or 3,600 m
mina [271]

Answer:

the answer is 3.6km is bigger then 3,600 m

3 0
3 years ago
Solve by elimination<br> 5x+4y = 12<br> 3x - 3y = 18<br><br> Please help solve and provide steps.
SOVA2 [1]
First you solve for y.
5x+ y= 12 so Y= 12-5x
And plug it into the next equation
3x- 3(12-5x) = 18
Distribute
3x-36+15x=18
Add 36 to both sides
3x+ 15x= 54
18x= 54 ... divide
x= 3
And you can plug in x to solve for Y
5(3) + y = 12
15+ y = 12 ...subtract 15 from both sides
y= -3
4 0
3 years ago
Read 2 more answers
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