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Assoli18 [71]
3 years ago
15

6. Find the value of x in the triangle below.

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

The value of x is 21.

Step-by-step explanation:

Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :

(x + 3)² + 10² = (x + 5)²

x² + 6x + 9 + 100 = x² + 10x + 25

x² + 6x + 109 - x² - 10x - 25 = 0

-4x + 84 = 0

-4x = -84

4x = 84

x = 84 ÷ 4

x = 21 units

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Is y = x 2 – 1 a linear equation?
katrin [286]

Answer:

No

Step-by-step explanation:

<u>Step 1:  Determine if linear </u>

It is not linear because it has the x variable to the second power which makes the line bend and turns into a parabola.  A linear line would have the x to the first power or just x.

Answer: No

<u>Graph Below</u>

4 0
3 years ago
For problems 12 - 14, Determine whether each sequence appears to be an
marshall27 [118]

Step-by-step explanation:

⇒12)It is an arithmetic sequence.

   d=2-1=3-2=4-3=1

    a(n) = a +(n-1)d

    a(n) = 1+(n-1)1

The next three terms:

a(6) = 1+(6-1)1=6

a(7) = 1+(7-1)1=7

a(8) = 1+(8-1)1=8

⇒13)It is an arithmetic sequence.

   d=0-3=-3-0=-6+3=-3

    a(n) = a +(n-1)d

    a(n) = 3+(n-1)-3

The next three terms:

a(5) = 3+(5-1)-3=-9

a(6) = 3+(6-1)-3=-12

a(7) = 3+(7-1)-3=-15

⇒14)It is <u>not </u>an arithmetic sequence.

⇒15) a(50) = 10 +(50-1)5

                  =<u>255</u>

<u>I hope this helps</u>

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8 0
3 years ago
Topic Test
Radda [10]

Answer:

A. 2468 sq. ft.

Step-by-step explanation:

I calculated it logically

7 0
3 years ago
(-3) -8 subtracting intergers
VARVARA [1.3K]

Answer:

-11

Step-by-step explanation:

-3 - (8) =-11

A negative - a negative = negative.

Think of it like this:

If you already have a negative number and you want to "add" more "negativeness" to it, that would make the number more negative, if that makes sense.

8 0
3 years ago
Read 2 more answers
An architect builds a scale model of a building, where 1 cm = 0.5 m. If the scale model is 15 cm tall, how tall will the actual
olganol [36]

Answer:

The actual building will be 7.5 m tall

Step-by-step explanation:

Given the scale model value of the building, we want to find the actual height of the building

From the scale model;

1 cm = 0.5m

Thus 15 cm will be 15 * 0.5 = 7.5 m

7 0
3 years ago
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