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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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For m = 4 and (h, k) = (3, -2), the equation is ...

  y +2 = 4(x -3) . . . . . matches the first choice

3 0
3 years ago
Which property is illustrated by the following statement <br><br> 2x (6) = (6) 2x
igomit [66]

the answer to it is 24X squared but the answer to your question is both are ok they both give u 12X which is 24X squared the way u wrote it lol

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3 years ago
Please help me! This is one of the questions on my Geometry work!
Tamiku [17]

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3 years ago
Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict th
BaLLatris [955]

Answer:

20,158 cases

Step-by-step explanation:

Let t=0 represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

F(t)=102,390(1-0.15)^t

F(t)=102,390(0.85)^t

To find number of cases in 2020, we will substitute t=10 in our decay function as:

F(10)=102,390(0.85)^{10}

F(10)=102,390(0.1968744043407227)

F(10)=20,157.970260446597\approx 20,158

Therefore, 20,158 cases  will be reported in 2020.

3 0
3 years ago
Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation. Write a mult
Elina [12.6K]

 decrease in temperature if you hike up the mountain 3000 meters is  -30° .

<u>Step-by-step explanation:</u>

Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:

For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in  elevation , there is decrease in n×10° of temperature i.e

Decrease in temperature = (n/1000)×(-10) i.e.

⇒  (n/1000)×(-10)

⇒ \frac{n}{1000}(-10)

At n = 3000 meters:

⇒ \frac{3000}{1000}(-10)

⇒ 3}(-10)

⇒ -30°  

Therefore ,  decrease in temperature if you hike up the mountain 3000 meters is  -30° .

8 0
3 years ago
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