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2 years ago

URGENTT

Mathematics

1 answer:

iren [92.7K]2 years ago

5 0

Answer:

Max's team 5.75

Williams team 5.6

Max's team had better run rate

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What is the value ?....

Otrada [13]

Answer:

Step-by-step explanation:

7 0

2 years ago

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A rectangle has a length 6 meters longer than double the width. The perimeters is i44 meters. Find the dimensions of the rectang

Oksana_A [137]

Use the information to form an equation
x = width
x + 6 = length
perimeter = length + length + width + width
x + x + x + 6 + x + 6 = 44
4x + 12 = 44
4x = 32
x = 32/4
x = 8
width = 8 meters
length = 8 + 6 = 14 meters

8 0

2 years ago

the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base

Otrada [13]

Solution:

Area of triangle = 6 3/8 yd²
Height of triangle = 2 1/2
Area of triangle = 1/2 x base x altitude

<u>Use the formula to find the base of the triangle.</u>

1/2 x base x altitude = 6 3/8 yd²
=> 1/2 x base x 2 1/2 = 6 3/8 yd²
=> 1/2 x base x 5/2 = 6 3/8 yd²
=> 5/4 x base = 6 3/8 yd²
=> base = 6 3/8 ÷ 5/4 yd
=> base = 51/8 x 4/5 yd
=> base = 51/2 x 1/5 yd
=> base = 51/10 yd

The length of the base is 51/10 yards.

8 0

2 years ago

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What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$