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2 years ago

I NEED HELP ASAP WILL GIVE BRAINLYEST

Mathematics

1 answer:

topjm [15]2 years ago

6 0

Answer:

The answer is option 3.

Step-by-step explanation:

The steps are :

$3 \sqrt{2} (5 \sqrt{6} - 7 \sqrt{3})$

$= (3 \sqrt{2} )(5 \sqrt{6} ) - (3 \sqrt{2} )(7 \sqrt{3} )$

$= 15 \sqrt{12} - 21 \sqrt{6}$

$= 15 \sqrt{4 \times 3} - 21 \sqrt{6}$

$= 15(2) \sqrt{3} - 21 \sqrt{6}$

$= 30 \sqrt{3} - 21 \sqrt{6}$

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Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
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$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

Deon plans to ride a 20-mi bicycle trail. If his average speed is 10 mi/h, how many hours will the ride take? Part 1: Solve the

pentagon [3]

Answer:

The ride will take 2 h

Step-by-step explanation:

From the question,

Deon plans to ride a 20-mi bicycle trail, that is the total distance he plans to cover is 20-mi

Distance, d = 20 mi

Also, his average speed is 10 mi/h

rate of speed, r = 10 mi/h

To determine how many hours the ride will take,

From the formula,

d = rt

where

d is the distance covered

r is the average rate of speed

and t is the time.

We can solve for t, such

d = rt becomes

t = d/r

Now, from the question

d = 20 mi

r = 10 mi/h

∴ t = (20 mi) / (10 mi/h)

t = 2 h

Hence, the ride will take 2 h (hours)

7 0

3 years ago

A model of a building is made using a scale of 1 inch = 20 feet. What is the height of the actual building, in feet, if the heig

dezoksy [38]

Answer:

210.

Step-by-step explanation:

10.5 x 20 = 210

i hope that helps!!!

4 0

2 years ago

What is the exact volume of the cone? with a 5 ft radius and a 16 ft height

andrew11 [14]

Answer:

The volume is 418.93 ft^3

Step-by-step explanation:

Here, we want to find the volume of a cone

Mathematically, we use the formula;

V = 1/3 * pi * r^2 * h

r = 5 ft

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Substituting these values;

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3 0

2 years ago

How many gallons of paint will you need in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover

GREYUIT [131]

Answer:

42 x27 //// 1134 is the area

Step-by-step explanation:

1134/ 200= 5.67

You have to round up because you can’t get .67 of a paint bucket So you would have to round it out. <em>About 6 buckets.</em>

6 0

2 years ago