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3 years ago

What shape is the 1st one? I already know the second one

Mathematics

1 answer:

Agata [3.3K]3 years ago

4 0

the first one is a quadrilateral

Step-by-step explanation:

a quadrilateral have four side

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Which equation can be used to find 30 percent of 600? StartFraction 600 times 6 Over 100 times 6 EndFraction = StartFraction 360

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The answer would be 822

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3 years ago

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I need help on problem called irrational numbers

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Step-by-step explanation:

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3 years ago

An archway is modeled by the equation y = -2x^2 + 8x. A rod is to be placed across the archway at an angle defined by the equati

DIA [1.3K]

To solve this problem you must apply the proccedure shown below:

1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
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2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:

x−2.23(-2x^2+8x)+10.34=0

3. When you apply the distributive property, you obtain:

x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0

4. When you solve the quadratic equation, you obtain:

x=3 units

Therefore, the answer is the option D: D. 3 units.

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4 years ago

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The function y=−16x2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret th

Lapatulllka [165]

Answer:

A. x-intercept=x=1.5 , y-intercept=y=36

B.the apple will hit the ground after x=1.5 seconds.

Step-by-step explanation:

A. X-intercept and Y-intercept:

X-intercept:

the point where the line passes through X-axis i.e. point where y=0

Y-intercept:

the point where the line passes through Y-axis i.e. point where x=0

Given Equation:

$y=-16x^2+36$

Finding X-intercept:

to find x-intercept, put y=0 in the given equation as

$0=-16x^2+36\\$

adding $-16x^2$ to both sides of the equation, we get

$16x^2=36$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

Finding Y-intercept:

to find y-intercept, put x=0 in the given equation

$y=-16(0)^2+36\\y=36$

thus x-intercept $=x=1.5$

and y-intercept $=y=36$

B.when will the apple hit the ground after x seconds?

In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down

so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as

$0=-16x^2+36\\$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

the apple will hit the ground after x=1.5 seconds.

8 0

3 years ago

Magnus wants to borrow $26,000 to remodel his kitchen. He is hoping that his monthly payment will be no more than $372. The bank

Oksi-84 [34.3K]

Answer:

About 81 months

Step-by-step explanation:

We'll have to use this formula: A = P x i(1 + i)ˣ / (1 + i)ˣ - 1

A = Montly payment (372)

P = Loan amount (26,000)

i = interest rate/12 (0.043/12 = 0.035833)

x = months (?)

372 = 26,000 x 0.035833(1 + 0.035833)ˣ / (1 + 0.035833)ˣ - 1

First, substitute (1 + 0.035833)ˣ for y just to make things easier

372 = 26,000 x 0.035833y / y - 1

Multiply both sides by y - 1

(y-1)(372 = 26,000 x 0.035833y / y - 1)

372y - 372 = 26,000 x 0.035833y

Divide both sides by y

(372y - 372)/y = (26,000 x 0.035833y)/y

372 - 372/y = 26,000 x 0.035833

Add 372/y to both sides

372 - 372/y = 26,000 x 0.035833

- 372/y - 372/y

372 = 93.1667 + 372/y

Subtract 93.1667 from both sides

372 = 93.1667 + 372/y

- 93.1667 - 93.1667

372 - 93.1667 = 372/y

Cross multiply

y = 372/(372 - 93.1667)

y = 1.33413

(1 + 0.035833)ˣ = 1.33413

log₁₋₀₀₃₅₈₃₃(1.035833ˣ) = log₁₋₀₀₃₅₈₃₃(1.33413ˣ)

x = 80.59418

7 0

2 years ago