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Viefleur [7K]
2 years ago
7

Three dressers are places side by side. One dresser is 5 feet 11 inches wide, another is 5 feet 6 inches wide, and the third is

5 feet 9 inches wide. How wide are they combined. Write your answer in feet and inches. Use a number less than 12 for inches
Mathematics
1 answer:
meriva2 years ago
7 0
16 feet and 2 inches, hope this helps.
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Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?
Luba_88 [7]

Answer:

The value of x is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that \angle APR = \angle SPL. Given that \angle APR = 13\cdot x -30 and \angle SPL = 3\cdot x + 70, we find that the value of x is:

13\cdot x - 30 = 3\cdot x +70

10\cdot x = 100

x = 10

The value of x is 10.

6 0
2 years ago
Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)
Rom4ik [11]

Answer:


Step-by-step explanation:

Given : p(x)=x^{3} +6x^{2} -7x-60

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, \text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}

Since constant term = -60

Leading coefficient = 1

\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}

\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}

Thus the possible roots are  \pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0.  All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is x^{2} +x-12

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

x^{2} +x-12=0

x^{2} +4x-3x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)





3 0
3 years ago
Read 2 more answers
Graph by inequality x+4y=2
tangare [24]
Answer: Y=-1/4x+2
Slope: -1/4
Y intercept: 2

7 0
2 years ago
What is the length of GH? ______cm
Daniel [21]
Area of a rectangle = Length * Width
Area = 60cm^2
Length = 4
Width = GH = ? = x

60 = 4*x
solve for x
60/4 = x
x = 15

GH is 15cm
3 0
3 years ago
Help help help help
deff fn [24]

Answer:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12

4 0
2 years ago
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