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kati45 [8]
3 years ago
6

Determine the next three terms in the following sequence 1,2,5,10

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

17 26 37 hope this helps

Step-by-step explanation:

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A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?
Troyanec [42]

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find <em>b</em>

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find <em>x</em> when <em>y</em> = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

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3 years ago
H(x)=4x-2 find h(-9)
ki77a [65]

Answer:

34

Step-by-step explanation:

H(x) = 4x-2

H(-9) = 4(9)-2

H(-9) = 36 -2

H(-9) = 34

7 0
3 years ago
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>

Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



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3 years ago
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How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?
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Answer:

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Step-by-step explanation:

e/sinE = g/sinG

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