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3 years ago

What is the area, in square units, of the parallelogram shown below?

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

Option B:

Area of the parallelogram = 60 square units

Solution:

Given ABCD is a parallelogram.

Height of the parallelogram = 10 units

Base of the parallelogram = 6 units

To find the area of the parallelogram:

Area of the parallelogram = Base × Height

= 6 × 10

= 60

Area of the parallelogram = 60 square units

Hence option B is the correct answer.

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

On Wednesday, James slept for <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D" id="TexFormula1" title="\frac{3}{8}" alt=

Hatshy [7]

Answer:

I believe he slept for 9 hours of the day

Step-by-step explanation:

⅜ of 24

24 ÷ 8 = 3

3 × 3 = 9

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3 years ago

Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be abo

Oksanka [162]

Answer:76

Step-by-step explanation:

Vince=160

Nadir=140, which =56 on another planet. 140-56=84, so there's an 84lbs weight difference.

160-84=76 pick c

4 0

3 years ago

Please help I don't remember doing this at high school

ipn [44]

Use Pythagoras 6 squared =36-(4x4) =20 square root of 20 then times that by two

8 0

3 years ago

Marcus said the product of 78 × 134 is 94. How can you tell that his answer is wrong?

QveST [7]

You can use estimation.

80×130=10,400

Clearly 10,400 and 94 are way off.

7 0

3 years ago