Solve for x. x^2 - 14x + 31 = 0

Answer:

The length of the other leg of the triangle is 30 inches.

Step-by-step explanation:

Pythagorean: a^2+b^2=c^2

50=hypotenuse

50^2-40^2=missing leg

50^2=2500

40^2=1600

50^2-40^2=900

[tex]\sqrt{900}[/tex]=30

30 is missing leg

The length of the other leg of the triangle is; 30 inches.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.

Using Pythagorean:

[tex]a^2+b^2=c^2[/tex]

50 = hypotenuse

Let the missing length is x.

x² = 50^2-40^2

x² = 2500 - 1600

x²  = 900

x =30

Hence, the length in inches of the other leg of the triangle is 30.

Learn more about a right angle;

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Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Answer:

This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.

Step-by-step explanation:

We have

Summer membership + $12 = 3(Weekend pass).

=> ($78) + ($12) = 3x

=> 3x = $90

=> x = $30.

Hence the weekend admission is $30.

Answer:

3x-12=78

Step-by-step explanation:

This is my thinking:

So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so

3x-12=78.

Answer:60 degrees

Step-by-step explanation:

Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees

Answer: 763.02 in^2

Step-by-step explanation:

For a circle of radius R, we know that:

The area is:

A = pi*R^2

the circumference is:

C = 2*pi*R

where pi = 3.14

We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:

2*pi*R = 18*pi

2*R = 18

R = 18/2 = 9

The radius of the bullseye is 9 inches.

Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)

This is:

A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2

Answer:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Step-by-step explanation:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Answer:

(x^2-5)(x + 7)

Step-by-step explanation:

Here, we want to factorize the given expression

That would be;

x^2(x + 7) - 5(x + 7)

= (x^2-5)(x+ 7)

Answer:

(x+7) (x^2 - 5)

Step-by-step explanation:

x

3

+7x

2

−5x−35

=x

2

(x)+x

2

(7)−5(x)−5(7)

=x

2

(x+7)−5(x+7)

​

Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:

\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}

​

=x

2

(x+7)−5(x+7)

=(x+7)(x

2

−5)

​

Answer:

[tex]5\ \text{ft}[/tex]

Step-by-step explanation:

Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]

The width of the easement is [tex]x\ \text{ft}[/tex]

Buildable area 140 ft by 64 ft

[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]

The width of the easement is [tex]5\ \text{ft}[/tex].

Step-by-step explanation:

721/100

It is correct answer

Answer:

Oop

Step-by-step explanation:

sawarasenaikimiwa⛓shojonano ✨bökùwâÿariçhiñbįcchīńoosûdàyo

i haded to do it lol

Answer:

The correct answer is whole

Answer:

whats the question???????????

Answer:

90

Step-by-step explanation:

Answer:

$275.562

Step-by-step explanation:

Step 1

Find the discounted price

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.

Discount = $315 × 19%

= $59.85

Discounted price = $315 - $59.85

= $255.15

Step 2

Sale Tax

She had to pay an 8% sales tax on the amount she actually paid for the bike

Hence:

$255.15 × 8%

Sale Tax = $20.412

Step 3

The total cost of the bike including tax is calculated as:

$255.15 + $20.412

= $275.562

Answer:

answer is 12

....

.

.

...

.

. :-)))

Answer:

3 3/4

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

Answer:

The first step would be to add twelve to both sides

Step-by-step explanation:

Answer:

add 12 to both sides

Step-by-step explanation:

What we want to do, is to isolate the variable and the numbers on different sides.

if we divide 5x and -20 by 5, what about -12? It's part of the equation too.

If we add 20 to both sides, the numbers and the variable are on the same side, so we'll need to subtract it back off to isolate both.

If we multiply 12 by (what was there) it won't be isolating the variable or numbers. We'll just be increasing the value of the terms already there.

However, if we add 12 to both sides, we'll be isolating both the variable AND the numbers onto different sides.

therefore, add 12 to both sides.

Hope this helps!

Answer:

9

Step-by-step explanation:

f(8)=3(8)-2=22

f(5)=3(5)-2=13

22-13=9

Answer:

f(8) - f(5) = 9

Step-by-step explanation:

So our function is:

f(x) = 3x - 2

Therefore, f(8) becomes:

f(8) = 3(8) - 2 = 24 - 2 = 22

And f(5) is:

f(5) = 3(5) - 2 = 15 - 2 = 13

Finaly, f(8) - f(5) is therefore:

22 - 13 = 9

So f(8) - f(5) = 9

Hope this helps!

Answer:

B

Step-by-step explanation:

the third and fourth ones

Answer:

the answer is b bc the line is positive

Step-by-step explanation:

The equation that best represents the line of best fit is -

y = (1/2)x - 1

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the line of best fit for the data in the scatterplot.

The line passes through the points -

(0, - 1) and (2, 0).

Then, the slope will be -

m = 1/2

and the [y] - intercept is -1. So the equation that best represents the line of best fit is -

y = (1/2)x - 1

Therefore, the equation that best represents the line of best fit is -

y = (1/2)x - 1

To solve more questions on straight lines, visit the link below-

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Answer:

A.) x=-3

B.) I have no clue I'm sorry I haven't learned anything over square method

Step-by-step explanation:

Answer:

Answer: 35

Step-by-step explanation:

five out  of every eight are carrying suitcases, so muiltiply  5/8 times 56 to get 35

Answer:

29%

Step-by-step explanation:

48%+23%= 71%

100%-71%=29%

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

Answer:

y= 3 /4 x−11

Step-by-step explanation:

3x - 4y = 44

Add -3x to both sides.

3x−4y+−3x=44+−3x

−4y=−3x+44

Divide both sides by -4.

−4y /−4 = (−3x+44 )/−4

y= 3 /4 x−11

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31