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aivan3 [116]
1 year ago
13

5. Match the equation with its graph.4x + 8y = 32

Mathematics
1 answer:
tekilochka [14]1 year ago
7 0

In order to find the corresponding graph, let's find two points that are on the line.

To do so, let's choose values of x and then calculate the corresponding values of y:

\begin{gathered} x=0\colon \\ 0+8y=32 \\ y=\frac{32}{8}=4 \\  \\ x=8\colon \\ 32+8y=32 \\ 8y=0\to y=0 \end{gathered}

So we have the points (0, 4) and (8, 0).

Looking at the options, the graph that has these points is the fourth graph.

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In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: m∠A = α
hodyreva [135]

Answer:

Given:

m∠C = 90°, because ∠C is a right angle.

m∠D = 90°, because CD is the height to AB.

m∠A = α

Since the sum of angles in a triangle is 180°, therefore

m∠DBC + 90° + α = 180°

m∠DBC = 90° - α

Again, for the same reason,

m∠DCB + m∠DBC + 90° = 180°

m∠DCB + 90° - α + 90° = 180°

m∠DCB = α

For the same reason,

m∠ACD + 90° + α = 180°

m∠ACD = 90° - α

m∠ADC = 90° (by definition)

m∠CDB = 90° (by definition)

Answer:

m∠DBC = 90° - α

m∠DCB = α

m∠CDB = 90°

m∠ACD = 90° - α

m∠ADC = 90°

Step-by-step explanation:

6 0
3 years ago
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slava [35]

Answer:

Step-by-step explanation:

The GCF if 24s^3, 12s^4 and 18s is

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18s: 3^2 * 2 s

3s is the GCF

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3 years ago
Evaluate sin 300° without using a calculator.
Anni [7]

Answer:

-\sqrt{3} /2

Step-by-step explanation:

300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.

Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees

sin(60°) = \sqrt{3} /2

And since sine is negative, this value turns negative:

sin(300°) = -\sqrt{3} /2

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Answer:

You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.

Step-by-step explanation:

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-7x - 2y = 14<br><br> 6x + 6y = 18<br><br> x =<br><br> y =
Mrac [35]

Answer:

6(2) + 6(1) = 18

Step-by-step explanation:

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