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3 years ago

Identify the slope (m) for y=−7x.

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is −7 .

Step-by-step explanation:

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The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of th

bearhunter [10]

Answer:

The expression is equal to $\frac{150}{4^{2}}$

The area of the scale drawing is $9.375\ ft^{2}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the actual room

y-----> the area of the scale drawing

$z^{2}=\frac{x}{y}$

we have

$z=4$

$x=150\ ft^{2}$

substitute and solve for y

$4^{2}=\frac{150}{y}$

$y=\frac{150}{4^{2}}=9.375\ ft^{2}$

6 0

3 years ago

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The comp

Dmitry [639]

Answer:

the correct graph of this function is a graph of a line that has a y-intercept that is approximately negative $20 million and an x-intercept that is approximately 2.7 years.

Step-by-step explanation:

4 0

3 years ago

Numbers that add to -0.5 and multiply to 1

Oliga [24]

Short Answer
There are two numbers
x1 = -0.25 + 0.9682i <<<< answer 1
x2 = - 0.25 - 0.9582i <<<< answer 2

I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5
y = - 0.5 - x (1)
xy = 1 (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1 Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0 Order these by powers
-x^2 - 0.5x -1 = 0 Multiply though by - 1
x^2 + 0.5x + 1 = 0 Use the quadratic formula to solve this.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 1
b = 0.5
c = 1

$\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}$

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out. Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1

7 0

3 years ago

What is an equiangular triangle?

Sergio [31]

<span>An equiangular triangle is a triangle where all three interior angles are equal in measure.</span>

6 0

3 years ago

Read 2 more answers

Write your answer here (Keep it clear and simple to get the best answer)

daser333 [38]

Answer:

..what answer exactly? (im just gonna put my random answer here lol)

<em>The development of the calander shows they can divde the number of minutes hours days month etc in a year. Development of the pyramids shows geometry and engineering.</em>

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3 years ago