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Anna71 [15]
3 years ago
14

Help me with 2, 8, and 10 plz

Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

For #2:

<span> 3x^2 + 4 – 2x^2 + 6</span>

<span><span>You need to combine your like terms:
</span> 3x^2 – 2x^2= x^2</span>

4 + 6 = 10

This will now give you:

<span>X^2 +10</span>
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A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o
Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

20(W³ + 5W² - 1800000) = 0

Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

3 0
3 years ago
What is 4 x what = 97
ikadub [295]

If you mean, what is 4x = 97......

4x = 97                   -Divide both sides by 4

4x / 4 = 97 / 4

x = 24.25

Hope this helps you! Have a happy Thanksgiving, here's a turkey!

4 0
3 years ago
Write the equation of a line in slope-intercept form with a slope of −13 and a y-intercept of 4 .
frosja888 [35]

Answer:

y = -13x + 4

Step-by-step explanation:

You want to put it in the form y = mx + b where m is the slope and b is the y-intercept (For example, in the equation y = 2x + 3 the slope is 2 and the y-intercept is 3)

Since the slope is -13, m = -13.

Since the y-intercept is 4, b = 4.

This means the equation is y = -13x + 4

6 0
3 years ago
Read 2 more answers
What is the reciprocal of 8 8/5 ?
Ksenya-84 [330]

Answer:

\frac{5}{48}

Step-by-step explanation:

The reciprocal of a number n is \frac{1}{n}

Given 8 \frac{8}{5}, change to an improper fraction

= \frac{5(8)+8}{5} = \frac{48}{5}, thus

reciprocal = \frac{1}{\frac{48}{5} } = \frac{5}{48}

3 0
3 years ago
HELP!!
torisob [31]

195 is the answer because you replace x with 10

Step-by-step explanation:

825-630=195

3 0
3 years ago
Read 2 more answers
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