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3 years ago

Find the value of x.

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

Using the formula (which is a geometric mean):

a y

---- = -----

x a

Where a is the altitude (6), x is a projection (x), and y is the other projection (3):

6 3

---- = -----

x 6

Cross multiply:

36 = 3x

12 = x

x = 12

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What is the equation for a slope -1 through the point (2,0)?

RUDIKE [14]

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

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3 years ago

What is the square root of 13 ?

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3 years ago

What is the distance from point (– 1, 3) to the line 3x – 4y = 10?

natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = $\frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }$

= $\frac{|-3-12-10|}{9+16}$

= $\frac{|-25|}{\sqrt{25} }$

= $\frac{25}{5}$

= 5

5 0

2 years ago

If a model scale is 1 foot to 5 feet, how long will the model be

dalvyx [7]

The model will be 5 times longer that stated.

E.g if the model is said to be 10 feet long using this scale.

10*5=50

50 feet

6 0

3 years ago

A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters what is the width of the rectangle

notsponge [240]

Answer:

The width of the rectangle=32 cm

Step-by-step explanation:

We are given that

Perimeter of rectangle, P=116 cm

Length of rectangle, l=26 cm

We have to find the width of the rectangle.

We know that

Perimeter of rectangle, P= $2(l+b)$

Where l=Length of rectangle

b=Width of rectangle

By using the formula

$116=2(26+b)$

$\frac{116}{2}=26+b$

$58=26+b$

$58-26=b$

$32=b$

Hence, the width of the rectangle=32 cm

4 0

3 years ago

Read 2 more answers