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3 years ago

Pls help Question On the photo

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

C. In step 2, Cindy should have multiplied both sides of the equation by 2.

Step-by-step explanation:

I'll go through the equation correctly, and then point out what would have happened.

3 = x/2 - 5

Add 5 to both sides. -5 and 5 cancel out.

8 = x/2

What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.

What would have happened here is that we have an extra step (though either way we still end up with x being 16.)

Correct Step 2:

Multiply both sides by 2. x/2 and 2x cancel out.

x = 16

Incorrect Step 2:

8/2 = (x/2)/2

4 = x/4

Multiply both sides by 4 (this would be the extra step!).

16 = x

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What does combining like terms refers to?

wolverine [178]

Combining like terms refers to adding all of the terms that have a exponent or a variable in an expression.

Example: 6y + 10y - 2

You would combine the like terms, which two numbers have a variable.

6y + 10y = 16y

After combing the like terms, the new expression should be:

16y - 2

7 0

3 years ago

Let ABC be an isosceles triangle with AB = AC and ∠BAC=30°. Side AB and the median AD contain points Q and P respectively (point

juin [17]

Answer:

15°

brainlest

Step-by-step explanation:

Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)

The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.

Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.

Angle PQC is 15°.

4 0

3 years ago

The vertex of the parabola below is at the point (4, -1). Which of the equations below could be the one for this parabola?

AlekseyPX

Answer:

The answer is B

Step-by-step explanation:

6 0

3 years ago

A kangaroo hops 2 kilometers in 3 minutes. At this rate, how far does the kangaroo travel in 2 minutes? *

Dmitrij [34]

Answer:

At a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would travel 1,333 km.

Step-by-step explanation:

If a kangaroo hops 2 kilometers in 3 minutes, to calculate how much distance this animal hops in 2 minutes, the following calculation should be performed:

2 km / 3 min = 0.666 km per minute (2/3 x 2)

0.666 km per minute x 2 minutes = 1.333 kilometers in 2 minutes (0.666 x 2)

Therefore, at a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would hop 1,333 km.

5 0

3 years ago

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0

3 years ago