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Musya8 [376]
4 years ago
13

What’s the vertex of the quadratic function f(x)=(x-8)(x-2)

Mathematics
1 answer:
Elanso [62]4 years ago
6 0
To find the vertex we need to represent quadratic function in vertex form.
<span>f(x)=(x-8)(x-2)
</span>f(x)=x²-8x-2x+16=x²-10x+16
f(x)=  x²-2*5x+25-25+16= (x-5)² - 9

f(x)= (x-5)² - 9

Vertex is going to be (5, - 9)
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Solve for x. please explain in detail
Sholpan [36]

Use the cosine formula

Cos(angle) = adjacent/ hypotenuse


cos(30) = x/8

Cos(30) can be written as sqrt(3)/2

Now you have :

sqrt(3)/2 = x/8

Multiply both sides by 8:

X = sqrt(3)/2 x 8

Simplify:

X = 4sqrt(3)

6 0
2 years ago
Solve for 12 - 3/4(d+16 )=-5
TiliK225 [7]
Solved for d: d=20/3
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3 years ago
On a map the perimeter of the is 0.251 meters. The actual perimeters of the park is 1,000 times as large. What is the actual per
raketka [301]

The actual perimeter of the park is \boxed{\bf251{\text{ meters}}}.

Further explanation:

Given:

The perimeter of the park is on a map 0.251{\text{ meters}}. The measured perimeter of the park is 1000 times as large.  

Calculation:

The distance of the closed figure is called as the perimeter.

The perimeter of the attached Figure 1 can be calculated as,

\begin{aligned}{\text{Perimeter}}&=a+a+b+b\\&=2\left({a+b}\right)\\\end{aligned}

Here, x,y{\text{ and }}z is the length of the shape.

From place value chart, 10 tens is equal to 1 hundreds.

Tenths are one place after the decimal and hundredths are two places after the decimal.

Two tenths can be written in the form of decimal as follows:

\dfrac{2}{{10}}=0.2

Five hundredths can be written in the form of decimal as follows:

\dfrac{5}{{100}}=0.05

One thousandths can be written in the form of decimal as follows:

\dfrac{1}{{1000}}=0.001

Therefore, the number 0.251 can be written as,

\begin{aligned}0.251&=\frac{2}{{10}}+\frac{5}{{100}}+\frac{1}{{1000}}\\&=0.2+0.05+0.001\\&=0.251\\\end{aligned}

On the map the perimeter of the park is 0.251{\text{ meters}}.

Let {\text{P}} be the actual perimeter of the park.

The actual perimeter of the park can be calculated as follows,

\begin{aligned}{\text{P}}&=0.251\times1000\\&=251{\text{ meters}}\\\end{aligned}

Thus, the actual perimeter of the park is \boxed{\bf251{\text{ meters}}}.

Learn more:

1. Learn more about problem on function brainly.com/question/1632445

2. Learn more about problem on triangle brainly.com/question/7437053

3. Learn more about problem on range and domain of functions brainly.com/question/3412497

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Numbers

Keywords: Perimeter, park, map,  , measured, 1000 times large, distance, closed figure, length, shape, place value chart, hundreds, tenths.

6 0
4 years ago
Read 2 more answers
What is the least common multiple? (6 and 12)​
quester [9]

Answer:Least common multiple ( LCM ) of 6 and 12 is 12. LCM(6,12) = 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Step-by-step explanation:

6 0
2 years ago
Equivalent of (17×4)−35
Thepotemich [5.8K]
17 times 4, you get 68. 68 minus 35, your answer is 33
17*4=68
68-35=33
3 0
3 years ago
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