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4 years ago

Find the area of this parallelogram. 6 cm 11 cm

Mathematics

1 answer:

Hatshy [7]4 years ago

5 0

Step-by-step explanation:

given,

base( b) = 6cm

height (h)= 11cm

now, area of parallelogram (a)= b×h

or, a = 6cm ×11cm

therefore the area of parallelogram (p) is 66cm^2.

hope it helps...

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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Svetllana [295]

The equation $x^{2} -4=0~~and~~4x^2=16$ are true for x = -2 and x = 2.

The given equations are given as:

$x^2-4=0\\\\x^2=-4\\\\3x^2+12=0\\\\4x^2=16\\\\2(x-2)^2=0$

We need to select two equations that are true for x = -2 and x = 2.

<h3>What are the solutions to an equation ?</h3>

The solutions of an equation are the values that satisfy the given equation or make the equation true when substituted for unknowns in the equations.

Example:

x - 2 = 2

Here the solution for x - 2 = 2 is 4 because x = 4 will make the equation true.

4 - 2 = 2

2 = 2

Let's find the solutions for each equation.

$x^2 - 4=0$

$x^{2}$ = 4

x = $\sqrt{4}$ = ± 2

x = = 2 and x = -2

$x^2 =-4$

x = $\sqrt{-4}$

x = $\sqrt{-1 \times 4}$ = $\sqrt{-1}\times\sqrt{4}$

x = ± 2 $\sqrt{-1}$

x = 2i and x = -2i where i = $\sqrt{-1}$

3 $x^{2}$ + 12 = 0

$x^{2}$ = -12 / 3 = -4

x = $\sqrt{-1}$ $\sqrt{4}$

x = ± 2 $\sqrt{-1}$

x = 2i and x = -2i

4 $x^{2}$ = 16

$x^{2}$ = 16 / 4

$x^{2}$ = 4

x = $\sqrt{4}$

x = ±2

x = 2 and x = -2

$2(x-2)^2 = 0$

$(x-2)^2 = 0$

x - 2 = 0

x = 2.

Thus the equation $x^{2} -4=0~~and~~4x^2=16$ have solutions x = -2 and x = 2.

Learn more about solutions of equations here:

brainly.com/question/14506845

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2 years ago

Given that g(t)=t2-t And f(x) =1+x Find g(f(0)) + f(g(0))

marshall27 [118]

Answer:

The correct answer is 1

Step-by-step explanation:

The composite function g(f(x)) will be given by;

(1+x)^2 -(1+x)

Substituting x with zero yields g(f(0)) =0.

On the other hand, the composite function f(g(t)) will be given by;

1+t^2-t

Substituting t with zero yields f(g(0)) =1

Finally, g(f(0)) + f(g(0)) =0+1 = 1.

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3 years ago

Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of t

Alborosie

Answer:

The parent function is: y = x

First, here we have two types of transformations, and we could define them in a general way as:

if we start with a function f(x)

Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:

g(x) = A*f(x)

Vertical translation:

We can write a vertical translation of A units upwards as:

g(x) = f(x) + A

And a vertical translations of A units down can be written as:

g(x) = f(x) - A.

In this case, the transformations are:

first, a dilation of scale factor 8.

Then a translation down of 21 units

then another translation down of 7 units.

y = 8*X - 21 - 7

y = 8*x - 28.

As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28

Again, as this function is a linear equation there is no vertex.

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3 years ago

Simplify 7t · s · 3rt.

VikaD [51]

Answer:

21 s t^2

Step-by-step explanation:

7t · s · 3rt

Multiply the coefficients

7*3 =21

t*t = t^2

Multiply back together

21 s t^2

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3 years ago

Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at lea

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Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

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3 years ago