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2 years ago

Which inequality has a solid boundary line when graphed?

1 answer:

4 0

Inequalities are expression not separated by an equal sign. None of the inequality is correct since there is absence of equal sign.

<h3>Graph of inequalities</h3>

Inequalities are expression not separated by an equal sign. According to the question, we ned the inequality's graph that will have a dashed boundary line.

An inequality that will have solid boundary line must include only the less than or equal to sign < or greater than or equal to > sign.

From the option given, none of the inequality is correct since there is absence of equal sign.

Learn more on inequality graph here: brainly.com/question/24372553

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nate measured an apartment and made a scale drawing. the scale of the drawing was 2inches: 12 inches. if a rug by the 6 inches i

Ludmilka [50]

2/12=1/6
6*6=36
36 inches is the answer

3 0

3 years ago

Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equatio

lina2011 [118]

Answer:

The point of intersection is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

$y=0.5x+5$

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:

$(x-0)^2+(y-5)^2=(3)^2$

Simplify:

$x^2+(y-5)^2=9$

At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:

$x^2+((0.5x+5)-5)^2=9$

Simplify:

$x^2+(0.5x)^2=9$

Square:

$x^2+0.25x^2=9$

Combine like terms:

$\displaystyle 1.25x^2=\frac{5}{4}x^2=9$

Solve for x:

$\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}$

Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.

To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:

$\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34$

So, the point of intersection in QI is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

6 0

3 years ago

If your dad lives 5 minutes away from your school and you were caught outside during a storm,why is your dad taking 20 min.?

Inessa [10]

Because there is a storm?

4 0

4 years ago

Can anyone help me with this?

Sedbober [7]

1/5? 2 goes into 10, 5 times

7 0

3 years ago

Divide Rs750 in the ratio of 2:3

White raven [17]

Answer:

Rs. 450 and Rs. 300

Step-by-step explanation:

Step 1: Add the ratios; 3 + 2 = 5

Step 2: Put each ratio over the total, to see what proportion each part receives 3/5 and 2/5

Step 3: Multiply the 750 by the fraction to calculate the proportion that each part contains

3/5 x 750 = Rs. 450

2/5 x 750 = Rs. 300

5 0

4 years ago

Read 2 more answers