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ser-zykov [4K]
3 years ago
14

When a number is added to six times its square, the result is twelve. Find the number.

Mathematics
2 answers:
iVinArrow [24]3 years ago
7 0
Answer: <span>x = -3/2 and 4/3</span>
7nadin3 [17]3 years ago
6 0
Let's represent our number as x.
x is being added to 6 * x², and it equals 12
x + 6x^{2}=12\\6x^{2}+x-12=0
Factor:
6x^{2}+x-12=0\\(2x+3)(3x-4)=0
Solve for x:
(2x+3)=0\\2x=-3\\x=\frac{-3}{2}\\\\(3x-4)=0\\3x=4\\x=\frac{4}{3}

Therefore, x = -3/2 and 4/3.
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Find the total perimeter of the kite shown below. round to the nearest tenth . pleas use step by step instructions.
guapka [62]

Answer: B. 25.2 units

Step-by-step explanation:

The kite consists of 4 right angle triangles. The two smaller right angles are equal. Also, the two bigger right angles are equal.

To determine the hypotenuse of each triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Considering the smaller triangle,

Hypotenuse² = 4² + 3² = 16 + 9 = 25

Hypotenuse = √25 = 5

Considering the smaller triangle,

Hypotenuse² = 7² + 3² = 49 + 9 = 58

Hypotenuse = √58 = 7.616

The perimeter of the kite is the sum of the length of each side. Therefore,

Perimeter = 5 + 5 + 7.616 + 7.616 = 25.2 units to the nearest tenth

3 0
3 years ago
Charlie bought a pair of shorts at the store when they were having a 45% off sale if the regular price of pair of shorts was $24
pav-90 [236]
Let's figure this out! Okay, so the original price is 24. 45% is taken off. Well, we just multiply 24 and 0.45! (45% = 45/100 = 0.45) When we do that, we get 10.8. Now, a common mistake is to just say 10.8 is the answer. Unfortunately for Charlie, that is only how much is being taken off. If 10.8 is being taken off 24, we subtract. 24 - 10.8 = 13.2. And there we have it! 

Charlie payed $13.2.

Hope this helps!
8 0
3 years ago
Read 2 more answers
10. The perimeter of the table shown is 16 feet. Write an equation in
Aliun [14]

Answer:

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

P=2(\text{Width}+\text{Length})

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

P=2(3+x)\\ \\P=6+2x

Since the perimeter is 16 feet, we have

2x+6=16

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

2x+6-6=16-6\\ \\2x=10\\ \\x=\dfrac{10}{2}=5\ feet

4 0
3 years ago
Evaluate.
tekilochka [14]

Step-by-step explanation:

W=-6, x=1.2, and z=-6/7

(W²x-3)÷10-z

we substitute

((-6²)(1.2)-3)÷10-(-6/7)

((-36)(1.2)-3) ÷10-(-6/7)

(-43.2-3) ÷10(6/7)

(-46.2)÷60/7

-46.2÷60/7

-46.2*7/60

-46.2/1*7/60

-323.4/60

-5.39

8 0
3 years ago
The opposite corners of a quadrilateral are right angles. What kind of quadrilateral is this figure?
never [62]

Answer:

Send a picture for a full answer.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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