All categories

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.

You might be interested in

9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

SSSSS [86.1K]

Answer:

Part 4) $r=84\ units$

Part 9) $sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) $sin(\theta)=-\frac{9\sqrt{202}}{202}$

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

we know that

The circumference of a circle subtends a central angle of 360 degrees

The circumference is equal to

$C=2\pi r$

using proportion

$\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}$

simplify

$\frac{r}{180^o}=\frac{56}{120^o}$

solve for r

$r=\frac{56}{120^o}(180^o)$

$r=84\ units$

Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

Remember the trigonometric identity

$cos^2(\theta)+sin^2(\theta)=1$

we have

$cos(\theta)=-\frac{2}{3}$

substitute the given value

$(-\frac{2}{3})^2+sin^2(\theta)=1$

$\frac{4}{9}+sin^2(\theta)=1$

$sin^2(\theta)=1-\frac{4}{9}$

$sin^2(\theta)=\frac{5}{9}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{5}}{3}$

we know that

If ∅ lies in Quadrant III

then

The value of sin(∅) is negative

$sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) The terminal side of ∅ passes through the point (11,-9). What is the exact value of sin(∅) in simplified form?

see the attached figure to better understand the problem

In the right triangle ABC of the figure

$sin(\theta)=\frac{BC}{AC}$

Find the length side AC applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=11^2+9^2$

$AC^2=202$

$AC=\sqrt{202}\ units$

$sin(\theta)=\frac{9}{\sqrt{202}}$

simplify

$sin(\theta)=\frac{9\sqrt{202}}{202}$

Remember that

The point (11,-9) lies in Quadrant IV

then

The value of sin(∅) is negative

therefore

$sin(\theta)=-\frac{9\sqrt{202}}{202}$

5 0

3 years ago

At the zoo there were 3 times as many monkeys as lions ton counted a total of 24 monkeys and lions how many monkeys were there

Alexxx [7]

72 Lions. 24 monkeys. Combined it's 96

8 0

3 years ago

Read 2 more answers

Describe a pattern shown in this sequence, and use the pattern to find the next two terms.

kotegsom [21]

The pattern is adding 8 to the previous number.
ex. 7+8=15, 15+8=23, 23+8=31, 31+8=39
Now for the next 2 terms:
39+8=47
47+8=55
Hope this helps!

4 0

3 years ago

Read 2 more answers

Given a container that is 4.500 ft by 7.00 ft is filled with water 5.00inches deep. what is the volume of water in liters

RSB [31]

The volume of a figure is the number of cubic units present in the figure. For this problem, we assume that the figure would be a rectangular box in shape. So, the volume would be calculated by the product of its length, width and height or in this case the depth. We calculate the volume of water as follows:

Volume = 4.50 ft x 7.00 ft x 5.00 in ( 1 ft / 12 in )
Volume = 13.125 ft^3

We need to convert the resulting volume in liters. We do as follows:

Volume = 13.125 ft^3 ( 0.3048 m / 1 ft )^3 ( 1000 L / 1 m^3 )
Volume = 371.66 L

4 0

3 years ago

How do I find area of the base for any shape?

ASHA 777 [7]

Multiply the lengths of two sides together

4 0

4 years ago