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Licemer1 [7]
3 years ago
10

The perimeter of the equilateral triangle shown is 67.5 inches. Write and solve an equation to find the value of x.

Mathematics
2 answers:
eduard3 years ago
4 0

Answer:

The answer is 14. Not -14.

Step-by-step explanation:

frosja888 [35]3 years ago
3 0

Answer:

-14?

Step-by-step explanation:

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Marina86 [1]
28 ft per min = 0.512064 km per hour
7 0
3 years ago
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Please help !
nadya68 [22]

Answer:

r(-2)= -5

r(0)= -7

r(5)= -12

6 0
2 years ago
If you bought a stock last year for a price of 103$ and it has risen 13.5% since then, how much is the stock worth now, to the n
DIA [1.3K]

Answer:

$90.75

Step-by-step explanation:

103*100=(13.5%+100%)*x

10300=113.5x

x=10300/113.5

x=90.74889868

x=$90.75

7 0
2 years ago
Let f(x) be a quartic polynomial with integer coefficients and four integer roots. Suppose the constant term of f(x) is 6.(a) Is
frez [133]

Answer:

  (a) yes

  (b) no; see below

Step-by-step explanation:

(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.

(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)

___

The quartic can be written as ...

  k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers

The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have

  kabcd = 3kabc = 6

  kabc = 6/3 = 2

Among these four integer factors, there must be an even number of minus signs, and one that has the value ±2. Another root whose value is 3 will not satisfy the requirements.

3 0
3 years ago
What is one of the solutions to the following system of equations?
Amanda [17]

Answer:

(8,-1)

Step-by-step explanation:

Given :   x^{2} +y^{2} =65

               x+y=7

To Find: solution of given system of equations.

Solution:

Equation a :   x^{2} +y^{2} =65

Equation b :  x+y=7

Substitute the value of y from equation b in equation a

y from equation b : y = 7-x

Now substitute value of y in equation a

Thus equation a becomes:

 x^{2} +(7-x)^{2} =65

x^{2} +49+x^{2}-14x =65

2x^{2} -14x =65-49

x^{2} -7x -8=0

x^{2} -8x+x -8=0

x(x-8)+1(x-8)=0

(x+1)(x-8)=0

⇒ x= -1 and x = 8

Now substitute values of x  in equation b to obtains values of y

⇒ x+y=7

for x = -1

⇒ -1+y=7

⇒ y=7+1

⇒ y=8

Thus (x,y)=(-1,8)

For x =8

⇒ 8+y=7

⇒ y=7-8

⇒ y=-1

Thus (x,y)=(8,-1)

Hence Option A is the correct solution .


6 0
3 years ago
Read 2 more answers
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