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nexus9112 [7]
3 years ago
6

Describe the graph of the function. y = |x + 2|

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0

A chart would include

x, y

-2, 0

-1, 1

0, 2

1, 3

2, 4

The graph would look like this (Image attached)

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Ab= 6cm Ac=12cm <br> Calculate the length of Ad <br> Give your answer to 3 significant figures
Allisa [31]

Answer:

12.686cm

Step-by-step explanation:

By using pythagoras, we can find CB.

We know that a^2+b^2=c^2

Therefore, 12^2-6^2=CB^2

CB=\sqrt{108} (it has to be positive since it is distance)

now we look at triangle BCD and use SOH CAH TOA.

Sin55=CB/CD\\Therefore, CD= 12.686

8 0
3 years ago
What is the approximate area of a circle with a radius of 13cm? A.40.8cm² B.530.7cm² C.784cm² D.2461.8cm²
Gnesinka [82]
It would be B (530.7) because if you do 3.14 x 13 x 13 (Or to the second power) Then you get 530.66, the round to the nearest tenths 
4 0
3 years ago
Read 2 more answers
6. A coupon offers $1.00 off the 16-ounce size. Which size is the better<br><br> buy then?
svlad2 [7]

Answer:

Both sizes are better because they cost Same.

Step-by-step explanation:

Consider the provided information.

A coupon offers $1.00 off the 16

            Quantity     Price

Pint           16           $3.98

Quart        32           $5.98

If he gets $1 off for the 16-ounce size. The price will be:

3.98-1=2.98

He needs to pay $2.98 for 16-ounce pint.

Now find which one is better by calculating the unit rate.

\frac{Cost}{weight}=\frac{2.98 }{16}\approx0.186

Therefore, the cost of 1lb would be $0.186

For Quart 32 find the unit rate as shown:

\frac{Cost}{weight}=\frac{5.98}{32}\approx0.186

Therefore, the cost of 1lb would be $0.186

Hence, both of the size are better as the unit rate is same.

4 0
4 years ago
prove that the quadrilateral whose vertices are the points A(-1,1), B(-3,4), C(1,5) and D(3,2) is a parallelogram.
Vsevolod [243]

Answer:

Since \overrightarrow{AB} = \overrightarrow{DC} and \overrightarrow{AD} = \overrightarrow{BC}, then the quadrilateral ABCD is a parallelogram.

Step-by-step explanation:

First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then \overrightarrow{AB} = \overrightarrow{DC} and \overrightarrow{AD} = \overrightarrow{BC}. If we know that A(x,y) =(-1, 1), B(x,y) =(-3,4), C(x,y) = (1,5) and D(x,y) = (3,2), then the measure of each vector is, respectively:

\overrightarrow{AB} = (-3,4)-(-1,1)

\overrightarrow{AB} = (-2, 3)

\overrightarrow{DC} = (1,5)-(3,2)

\overrightarrow{DC} = ( -2,3)

\overrightarrow{AD} = (3,2)-(-1,1)

\overrightarrow{AD} = (4, 1)

\overrightarrow{BC} = (1,5)-(-3,4)

\overrightarrow{BC} = (4, 1)

Since \overrightarrow{AB} = \overrightarrow{DC} and \overrightarrow{AD} = \overrightarrow{BC}, then the quadrilateral ABCD is a parallelogram.

7 0
3 years ago
PLease help me dont answer if u dont know
sdas [7]

Answer:

a_n=-8+(n-1)-7

Step-by-step explanation:

General arithmetic sequence formula: a_n=a_1+(n-1)d

where a_1 = first term, and d = common difference.

The first term is -8

And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.

To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula

General formula: a_n=a_1+(n-1)d

We have a_1=-8 and d = -7

So the formula to find the nth term would be

a_n=-8+(n-1)-7

4 0
3 years ago
Read 2 more answers
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