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zalisa [80]
3 years ago
12

Straight line AB is perpendicular to the straight line joining p(-6,-9) and Q(3,-12). Find the gradient of AB

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0
Yes the answer for it is -1/3
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Can you find both the value of x and y? It is a 30-60-90 triangle
Juli2301 [7.4K]

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

3 0
2 years ago
Convert a distance of 42 feet into yards.
dybincka [34]

Answer:

14 Yards

Step-by-step explanation:

8 0
3 years ago
The coordinates A(0,0) B(0,4) C(3,4) and D(3,0) are graphed and connected together. What 3 dimensional shape will be created whe
Anit [1.1K]
All you have to do is rotate the current dots, and bam.

6 0
3 years ago
joe and his mother built a deck in the shape of a rectangle. the width of the deck is 12 feet. the length of the diagonal is 20
jek_recluse [69]
12 x 20= 240
The area is 240 ft.^2
8 0
3 years ago
For f(x) = 1/3x +5 <br><br> f(3) =
Mrrafil [7]

Answer:

f(3) = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 1/3x + 5

f(3) is x = 3

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(3) = 1/3(3) + 5
  2. Multiply:                        f(3) = 1 + 5
  3. Add:                              f(3) = 6
3 0
3 years ago
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