All categories

3 years ago

Factor x2+12x+35 , I appreciate all the kind generous help I can receive

Mathematics

1 answer:

stellarik [79]3 years ago

8 0

So, to factor out the equation x²+12x+35, first multiply the first and last numbers.
1×35=35
So, you need to find the multiples of 35 that add up to 12.
So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because:
>7×5=35
>7+5=12
So, using these two numbers, you get your factored form as:
(x+5)(x+7)

You might be interested in

When cai traveled from New orleans,Louisiana to the Ozark mountains in Arkansas , the elevation changed from 7ft below sea level

svp [43]

To 7 up to 2,314 ft sea level is 7+2,314= 2,321ft

6 0

3 years ago

Read 2 more answers

Find the length of both of the unknown sides in the triangle shown here.

icang [17]

Answer:

$(x+11)^2 = (x+3)^2 +16^2$

And if we solve this equation for x we got:

$x^2 +22x +121 = x^2 +6x +9 +256$

We can cancel $x^2$ in both sides and we have this:

$22x -6x= 256+9-121 =144$

And then we got:

$16 x= 144$

$x =\frac{144}{16}= 9$

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

Step-by-step explanation:

For this case we have a right triangle and we can use the Pythagoras Theorem and using the info given by the triangle we can set up the following equation:

$(x+11)^2 = (x+3)^2 +16^2$

And if we solve this equation for x we got:

$x^2 +22x +121 = x^2 +6x +9 +256$

We can cancel $x^2$ in both sides and we have this:

$22x -6x= 256+9-121 =144$

And then we got:

$16 x= 144$

$x =\frac{144}{16}= 9$

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

8 0

3 years ago

Lisa is selling candles and soaps or a fundraiser. She sells a total of 24 items for a total of $112. If the candles sold for $4

Tcecarenko [31]

8 candles and 16 bars of soap.

You can solve this by setting up a system of equations.

x + y = 24
4x + 5y = 112

3 0

3 years ago

Please help! I need help with part B if 1000 students were surveyed what would the probability be of how many plays sports?

nevsk [136]

Answer:

188 students would play sports, out of 1,000.

Step-by-step explanation:

If the probability that a random high school student plays a sport is 0.188 (150/800), which means for every 1 high school student 0.188 of them play a sport. Multiply 0.188x1,000 to get 188 students who play a sport.

5 0

3 years ago

Read 2 more answers

Please help, seriously confused

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

3 years ago