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3 years ago

Trapezoid ABCD is graphed in a coordinate plane.

Mathematics

1 answer:

Ann [662]3 years ago

8 0

Answer:

Step-by-step explanation:

he coordinates of the vertices of the trapezoid ABCD are:

A=(-5,-2)=(xa,ya)→xa=-5, ya=-2

B=(-1,2)=(xb,yb)→xb=-1, yb=2

C=(0,-1)=(xc,yc)→xc=0, yc=-1

D=(-2,-3)=(xd,yd)→xd=-2, yd=-3

yi x(i+1) xi yi xi y(i+1)

-5 -2

(-2)(-1)=2 -1 2 (-5)(2)=-10

(2)(0)=0 0 -1 (-1)(-1)=1

(-1)(-2)=2 -2 -3 (0)(-3)=0

(-3)(-5)=15 -5 -2 (-2)(-2)=4

S1=-10+1+0+4→S1=-5

S2=2+0+2+15→S2=19

Area: A=(1/2) Absolute value (S1-S2)

A=(1/2) Absolute value (-5-19)

A=(1/2) Absolute value (-24)

A=(1/2) (24)

A=24/2

A=12

The area of the trapezoid is 12 square units

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20 points to answer a estimate question

Keith_Richards [23]

Answer:

The total cost = $714

Step-by-step explanation:

Given

Monitor cost = $287

Scanner cost = $58

Keyboard cost = $49

Printer cost = $320

The total cost can be determined by adding the costs of all the pieces of equipment.

Thus,

Total cost = Monitor cost + Scanner cost + Keyboard cost + Printer cost

= $287 + $58 + $49 + $320

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Therefore, the total cost = $714

4 0

3 years ago

(7a^3 -2a-2)+(-5a+3)

atroni [7]

Answer:

7a 3 −7a+1

Step-by-step explanation: I hope this help.

STEP

Equation at the end of step 1

((7a3 - 2a) - 2) + (3 - 5a)

STEP

Polynomial Roots Calculator :

2.1 Find roots (zeroes) of : F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 7 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,7

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 1.00

-1 7 -0.14 1.98

1 1 1.00 1.00

1 7 0.14 0.02

Polynomial Roots Calculator found no rational roots

Final result :

7a3 - 7a + 1

6 0

3 years ago

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baherus [9]

Only one. These problems always have one solution unless something has changed.

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3 years ago

Its all one big question

Verdich [7]

Answer:

see explanation

Step-by-step explanation:

h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1

(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5

h(x) - k(x) = x² + 1 - (x - 2) = x² + 1 - x + 2 = x² -x + 3

(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9

h(2) = 2² + 1 = 4 + 1 = 5

k(3) = 3 - 2 = 1

3h(2) + 2k(3) = (3 × 5) + (2 × 1) = 15 + 2 = 17

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3 years ago

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The slope-intercept form of the equation of a line that passes through the point (4, -3) is y=-3x+5. What is the point-slope for

rewona [7]

Answer:

y+ 3 = -1/3 (x-4)

Step-by-step explanation:

Simply plug in the values using (4, -3)

4 = x₁

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Now one rule to keep in mind when plugging it in, since a negative and a negative make a positive, you have to add three instead of subtracting it.

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4 years ago

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