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Fittoniya [83]
3 years ago
11

5. You are making your Halloween costume this year. You have 6 yards of fabric and the pattern says that you need to cut it in t

wo pieces where one is two feet longer than the other. How long is the shorter piece of fabric going to be?
Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

First piece= x feet

Second piece= x+2 feet

Convert 6 yards to feet

6 yards = 18 feet

First piece + second piece = total piece of fabrics

x + (x+2) = 18

x + x + 2 = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

Divide both sides by 2

x = 16 / 2

x = 8 feet

8 feet = 2.66667 yards

x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

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If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?
vesna_86 [32]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

(x, y)\rightarrow(x-4,y+3)

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

           → B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

6 0
3 years ago
Express each x in terms of y:<br>1. 2x - 3 = y<br><br>2. 2 + 2x -1 = 4y<br><br>3. 2A + 4x + 3B = 10​
jeka57 [31]

Answer:

1/2y+3/2

2y+-1/2

-3/2b-2x+5

Step-by-step explanation:

4 0
2 years ago
A pizza pie has 6 slices. 5 of the slices are equal
worty [1.4K]

Step-by-step explanation:

In my picture I made 6 slices, with one slice twice as large as the others.

Pretend that we cut the sausage slice in half. Then there would be 7 slices total.

We want to find P(Not Sausage).

Well since we sliced the big slice in two, we have 7 slices total. There are 5 slices without sausage.

The probability of getting a slice without sausage would then be 5/7.

4 0
3 years ago
Find the polynomial of least degree in standard form with the given roots:<br> x = 2, 3i
Dmitriy789 [7]

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

= (x - 2)(x^2 + 9)

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

4 0
3 years ago
If f(x) is an exponential function where f(-1.5)=26 and f(5.5)=7 then find the value of f(10), to the nearest hundredth
CaHeK987 [17]

Answer:

5.0956537e-46

Step-by-step explanation:

^ means root

* means multiply

f(x) = ab^x

f(-1.5)=26 = ab^-1.5

f(5.5)=7 = ab^5.5

f(5.5)/f(-1.5) = 26/7 = ab^5.5/ab^-1.5

3.714 = b^7

b = 3.714^-7

f(-1.5)=26 = ab^-1.5

26 = ab^-1.5

26 = a * 3.714^-7

a = 3.714^-7 / 26

a = 0.00000394578

f(10) = ab^10

f(10) = 0.00000394578 * (3.714^-7)^10

f(10) = 5.0956537e-46

4 0
2 years ago
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