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VLD [36.1K]
3 years ago
11

Given A is between Y and Z YA = 5.5, AZ = 2x, and YZ = 41.5 =, find AZ

Mathematics
2 answers:
STatiana [176]3 years ago
8 0

Answer:

AZ=36

Step-by-step explanation:

We have been given that point A is between point Y and Z such that YA=5.5, AZ=2x and YZ=41.5.

Using our given information, we can set an equation as:

YZ=YA+AZ

Substitute given values:

41.5=5.5+2x

Switch sides:

5.5+2x=41.5

5.5-5.5+2x=41.5-5.5

2x=36

Since AZ=2x, so the length of segment AZ is 36 units.

morpeh [17]3 years ago
4 0
YZ = YA + AZ
41.5 = 5.5 + AZ
AZ = 41.5 - 5.5
AZ = 36

So, your final answer is AZ = 36

Hope this helps!
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What is the height of this relation: <br> h= -0.3d² + 1.2d + 1.5
marshall27 [118]

Answer:

h = -0.3d^2 + 1.2d + 1.5

Step-by-step explanation:

3 0
3 years ago
Hailey is making 36 mini- pumpkin pies. Each pie takes 6 ounces of pumpkin. The cans of pumpkin are 2 pounds each. How many can
serious [3.7K]
1 pound = 16 ounces

6 ounces each pie

36 mini pies to make

36 × 6 = 216 ounces needed to make 36 mini pies

216 ÷ 16 = 13.5 pounds
if each can of pumpkin is 2 pounds,
13.5 ÷ 2 = 6.75 so that would be 7 cans of pumpkin
3 0
3 years ago
Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).
Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

y=ab^x

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

8=ab^4       ...(1)

32=ab^6       ...(2)

Divide equation (2) by equation (1).

\dfrac{32}{8}=\dfrac{ab^6}{ab^4}

4=b^2

Taking square root on both sides.

2=b

Put b=2 in (1).

8=a(2)^4

8=16a

\dfrac{8}{16}=a

0.5=a

Substitute a=0.5 and b=2 in the given general exponential equation.

y=0.5(2)^x

Therefore, the correct option is C.

8 0
3 years ago
huma has 4 bags of square inch tiles with 6 in each bag she uses them to meaure the area of a rectangle on her homework. ahter c
poizon [28]

Answer:

20 square inches

Step-by-step explanation:

No. of bags Huma has : 4

No. of tiles in one bag: 6

Total no . of tiles in 4 bag = 4 * No. of tiles in one bag

                                             = 4*6 = 24

No of tiles left with huma = 4

Let x be the no of tiles used to cover rectangle

Hence,

sum of no. of tiles left with huma and no of tiles used to cover rectangle should be equal to Total no . of tiles in 4 bag

mathematically

no. of tiles left with huma(4) + no of tiles used to cover rectangle (x) =  Total no . of tiles in 4 bag (24)

4 + x = 24

subtracting 4 from both sides

4 + x -4 = 24 - 4

=> x = 20

Thus, 20 square inches tiles are used to cover the rectangle.

This means that area of rectangle is 20 square inches .

6 0
3 years ago
Could anyone help answer the question in the photo?
Kipish [7]

Answer:

n = -3/10

Step-by-step explanation:

Given the expression \frac{\sqrt[5]{b} }{\sqrt[]{b} }

\frac{\sqrt[5]{b} }{\sqrt[]{b} } \\= \frac{b^{1/5}}{b^{1/2}} \\= b^{1/5-1/2}\\= b ^{2-5/10}\\= b^{-3/10}\\Compare \ b^n \ with \  b^{-3/10}\\\\n = -3/10

7 0
3 years ago
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