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Gemiola [76]
3 years ago
8

15f) Determine the line of symmetry. y = x2+16x+64

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Answer:

x=-8

Step-by-step explanation:

the equation is in standard form of y=ax^2+bx+c

so, to find the vertex, or axis of symmetry do -b/2a.

-16/2(1)=

-8

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When Theresa walks at a pace of 88 steps per minute, it takes her 90 minutes to walk the trail. If she alters her pace to 33 ste
jarptica [38.1K]

Answer: 33 minutes

Step-by-step explanation:

Hi to answer this question we have to write a proportion

Speed rate = 88 step per minute

Time = 90 minutes

So, the proportion is 88 step/min / 90 minutes

For 33 steps per minutes = 33 / x minutes

88/90 = 33/x

solving for x:

x= 33/ (88/90)

x = 33.75 = 33 minutes.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p
dlinn [17]

Answer:

d=101.4\ \text{pounds}/\text{feet}^3

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

⇒ 6900 grams = 15.21 pounds

Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

Or

d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3

Hence, the density of the material is 101.4\ \text{pounds}/\text{feet}^3

3 0
3 years ago
Suzy has an Etsy store where she sells shirts. Her shirts come in five sizes: small, medium, large, extra-large, or 2XL. Her shi
Shalnov [3]

Answer:

25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s
NNADVOKAT [17]

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:


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 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:


 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°


 4. Finally, the larger angle is:


 2α=2(67.5°)=135°


 5. Therefore, the answer is: 135°

6 0
3 years ago
Please put your answer in simplest form<br><br> 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ?
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Pretty sure the answer is 29/20 or 1 9/20. You get this by find the common denominator , 60, and then adding the number all together and simplifying
6 0
3 years ago
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