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3 years ago

Which linear inequality will not have a shared solution set with the graphed linear inequality?

Mathematics

2 answers:

Serggg [28]3 years ago

6 0

C.............................

EastWind [94]3 years ago

4 0

Answer:

Option C. y > x + 2

Step-by-step explanation:

It is given in the graph the shaded part which is below the dotted line represents the inequality $y$ .

Now any inequality which having "greater than" notation between y and x will never have a shared solution set with the linear inequality already in the graph.

Therefore inequality y > x + 2 which will have shaded area above the line will not share the common shaded area.

Option C. is the correct answer.

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If Logan(3)=5, what is the value of a^5?

Archy [21]

Answer:

$a^5=3$

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

$\log_b{(x)}=a\ \leftrightarrow\ b^a=x$

Here, it means ...

$\boxed{a^5=3}$

8 0

3 years ago

Read 2 more answers

Find the perimeter and area of the composite shape...

tatiyna

Answer:

P = 30

A = 22

Step-by-step explanation:

Find perimeter first

P = 5 + 5 + 2 + 2 + 2 + 2 + 2 + 2 + 4 + 4

P = 10 + 12 + 8

P = 30

Now area

A = 2(5 * 2) + (2 * 1)

A = 2(10) + (2)

A = 20 + 2

A = 22

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3 years ago

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1/3(x+6)=1/2(x-3) I need answer and explanation thanks

____ [38]

Answer:

x = 21

Step-by-step explanation:

1/3(x + 6) = 1/2(x - 3)

(3)1/3(x + 6) = (3) 1/2(x - 3) - multiply both sides by 3 to get rid of the 1/3

x + 6 = 3/2(x - 3)

x + 6 = 3/2 (-9/2) - i distributed the 3/2 into the parenthesis

x + 6 (2) = 3/2 (-9/2) (2) - multiply each side by 2 to get rid of the fractions

2x + 12 = 3x - 9

2x - 3x = -12 -9 - bring the x to one side

-x = -21

-x/-1 = -21/-x

x = 21

5 0

3 years ago

Charmaine drinks 3 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number in s

wlad13 [49]

3.5 pints to a cup is 7 cups, whole number

4 0

4 years ago

The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?

Marrrta [24]

Option A: $(x+3)^2+(y+2)^2=4$ is the equation of the circle

Explanation:

The equation of the circle is $x^{2} +y^2+6x+4y+10=1$

We need to write the equation of the circle in standard form.

Let us subtract 10 from both sides of the equation.

Thus, we have,

$x^{2} +y^2+6x+4y=-9$

Grouping the terms,we have,

$(x^{2} +6x)+(y^2+4y)=-9$

Now, we shall complete the square, let us add and subtract the equation by 9 to write the term $\left(x^{2}+6 x\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x^{2} +6x+9-9)+(y^2+4y)=-9$

Simplifying, we get,

$(x^{2} +6x+9)+(y^2+4y)=-9+9$

$(x+3)^2+(y^2+4y)=0$

Similarly, we shall complete the square for the term $\left(y^{2}+4 y\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x+3)^2+(y^2+4y+4-4)=0$

Simplifying, we get,

$(x+3)^2+(y^2+4y+4)=4$

$(x+3)^2+(y+2)^2=4$

Thus, the equation of the circle in standard form is $(x+3)^2+(y+2)^2=4$

Hence, Option A is the correct answer.

3 0

4 years ago