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3 years ago

11

Factor the expression 10x+40

1 answer:

BigorU [14]3 years ago

5 0

Factor 10 out of 10x+40. So, the correct answer is 10(x+4).
Hope this helps!:)

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In this diagram, BAC – EDF. If the

puteri [66]

The triangles are congruent. So.

Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.

Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.

This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2

The answer is 6inches^2

6 0

2 years ago

Solve for x (no need to explain but it would be best if you would because this is gonna be in my staar)

erastovalidia [21]

Answer:

x=1

Step-by-step explanation:

8 0

2 years ago

In ΔEFG, the measure of ∠G=90°, GE = 2.1 feet, and EF = 4.8 feet. Find the measure of ∠F to the nearest degree.

trapecia [35]

Answer:

26 degrees

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

(05.01)A scale drawing of a living room is shown below. The scale is 1 : 40.

matrenka [14]

Answer:

$A=266\frac{2}{3}\ ft^2$

Step-by-step explanation:

we know that

The scale is $\frac{1}{40}$

That means

1 unit in the drawing represent 40 units in the actual

or

1 inch in the drawing represent 40 inches in the actual

step 1

Find the actual dimensions of the living room

Multiply the dimensions of the living room in the drawing by 40

$Length:\ 6(40)=240\ in$

$Width:\ 4(40)=160\ in$

step 2

Convert inches to feet

Remember that

$1\ ft=12\ in$

To convert inches to feet , divide by 12

so

$Length:\ 240\ in=240/12=20\ ft$

$Width:\ 160\ in=160/12=\frac{40}{3}\ ft$

step 3

Find the area in square feet

Multiply the length by the width

$A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2$

Convert to mixed number

$A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2$

4 0

3 years ago

Read 2 more answers

Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals

trapecia [35]

Answer:

a) (8,8,-6)

b) 4x+4y+3z = -3

Step-by-step explanation:

a)

The surface is given by the equation

f(x,y,z) = 0 where

$f(x,y,z)=-2x^2+2y^2-3z^2+3$

The gradient of this function is the vector

$(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})=(-4x,4y,-6z)$

If we evaluate it in the point P = (-2,2,1) we obtain the point

(8,8,-6)

b)

The vectors with their tails at P are of the form

(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)

as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0

$(-2-x,2-y,1-z)\cdot(8,8,6)=0\Rightarrow -16-8x+16-8y+6-6z=0\Rightarrow 4x+4y+3z=-3$

and the equation of the desired plane is

4x+4y+3z = -3

3 0

3 years ago