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3 years ago

Find the product. (7−x)(x−1)=

Mathematics

2 answers:

Alexxx [7]3 years ago

5 0

Answer:

-x^2 + 8x - 7

Step-by-step explanation:

(7 - x)(x - 1)

(7 * x) + (7 * -1) + (-x * x) + (-x * -1)

7x - 7 - x^2 + x

8x - 7 - x^2

-x^2 + 8x - 7

Best of Luck!

vaieri [72.5K]3 years ago

3 0

Answer:

-x² + 8x - 7

Step-by-step explanation:

Step 1: Write expression

(7 - x)(x - 1)

Step 2: FOIL (First Outside Inside Last)

7x - 7 - x² + x

Step 3: Combine like terms

-x² + 8x - 7

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The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2

Otrada [13]

Width=20.108 yrd and Length=43.216 yrd

Step-by-step explanation:

Let width = w

Length =3+2w

Area = 869 yrd^2

We need to find length and width of rectangle.

The formula used is:

$Area= length*width$

Putting values:

$Area= length*width$

$869= (3+2w)*(w)$

$869= 3w+2w^2$

$2w^2+3w-869=0$

Using quadratic equation to find value of width w:

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a=2, b=3 and c=-869

$w=\frac{-3\pm\sqrt{(3)^2-4(2)(-869)}}{2(2)}$

$w=\frac{-3\pm\sqrt{6961}}{4}$

$w=\frac{-3\pm 83.4}{4}$

$w=\frac{-3+83.4}{4}\,\,and\,\,w=\frac{-3-83.4}{4}$

$w=20.108\,\,and\,\,w=-21.6$

Since width can't be negative so, width w=20.108

Length will be: L=3+2w = 3+2(20.108)=3+40.216=43.216

So, Width=20.108 yrd and Length=43.216 yrd

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

4 0

3 years ago

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? *

rjkz [21]

I think the answer is x=-3

5 0

3 years ago

Help someone how do you solve this

Flauer [41]

Answer:

a = 10/3

Step-by-step explanation:

This can be written as:

$x^{2} (x^{4})^{1/3} = x^{a}$

Anything to the power of 1/3 means to find the cube root. We can simplify this to:

$x^{2} (x^{4/3}) = x^{a}$

I just multiplied 4 and 1/3 (because of the second index law $(a^{m})^{n} = a^{mn}$ ). Now, we can add the powers because the bases are the same and we are multiplying (first index law):

$x^{10/3} = x^{a}$

a = 10/3

Hope this helps!

5 0

2 years ago

The function f(x) = 1/2 x + 2 is changed to f(x) = − 1/2 x + 2. Which describes the effect of the change on the graph of the ori

Dimas [21]

Answer:

Step-by-step explanation:

This is because the line was growing starting form the y-int=2.

Now the line is decreasing starting from y-int=2.

3 0

2 years ago

19, find the direction angle of vector v to the nearest tenth of a degree

labwork [276]

The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees

6 0

3 years ago