What is the value of 2x2 + 3x + 12, when x = 7?

Draw triangle abc where:

Mariulka [41]

Step-by-step explanation:

We are asked to draw a triangle.

The information we are given with is AB is a line segment with length 3.9 cm.

∠CAB = 50°.

∠ABC = 63°.

With the given details we need to draw triangle using given angles. We need protractor and ruler to draw the triangle.

Step 1: Draw the line segment of length 3.9 cm using ruler and mark as AB.

Step 2: Using protractor, we need to mark the angle. Keep the center of the protractor at the A and mark with a point at 50°.

Step 3: Draw a line from a passing through the marked point.

Step 4: Repeat step 2 with marking at 63° and step 3 on the other side.

Step 5: Mark the intersection point as C.

8 0

3 years ago

Triangle PQR has the coordinates P(2,4), Q(-2,4), R(0,-5).

tensa zangetsu [6.8K]

Answer:

I hope I got this correct.

Step-by-step explanation:

Multiply the coordinates by 2.

P(4,8)

Q(-4,8)

R(0,-10)

For the future if you get stuck, multiply the coordinates by the dilation number.

4 0

3 years ago

For males in a certain town, the systolic blood pressure is normally distributed with a

mario62 [17]

Answer:

99.7%

Step-by-step explanation:

According to the Empirical Rule:

68% of data in a normal distribution are ±1σ from the mean μ
95% of data in a normal distribution are ±2σ from the mean μ
99.7% of data in a normal distribution are ±3σ from the mean μ

By calculating the z-score of each observed value, we can determine how many standard deviations these observed values are from the mean:

$\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{99-120}{7}\\ \\Z=\frac{-21}{7}\\\\Z=-3$

$\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{141-120}{7}\\ \\Z=\frac{21}{7}\\\\Z=3$