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Yuliya22 [10]
3 years ago
9

What is the average rate of change for the sequence shown below? coordinate plane showing the points 1, 4; 0.5, 3.5; 0, 3; and n

egative 0.5, 2.5
−2
−one half
1
2
Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

1

Step-by-step explanation:

Please use parentheses around the coordinates of your points:

(1, 4); (0.5, 3.5), etc.

If we go from (0.5, 3.5) to (1, 4), x increases by 0.5 and y increases by 0.5.  

Thus the slope is m = rise / run = 1/1 = 1.

This is the average rate of change for the sequence shown.

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Side lengths of triangle : 6cm, 12cm, and 7cm. Do these make a unique triangle, more than one triangle, or no triangle
joja [24]

Answer:

8 triangles

Step-by-step explanation:

I took this question to mean that we have the lengths, 2, 6, and 7 and have multiple copies of them. Using these lengths, what are all of the triangles that can be made?

2x2x2

6x6x6

7x7x7

2x6x7

6x6x7

6x7x7

2x6x6

2x7x7

2x2x6 and 2x2x7 don’t make a triangle.

So, 8 triangles can be made.

from quora

5 0
2 years ago
Round 567,433 to the nearest hundred thousand
vesna_86 [32]

567,433 rounded to the nearest hundred thousandth is 600,000.

6 0
3 years ago
Read 2 more answers
Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​
Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0
2 years ago
A customer wants to purchase a pair of shoes that cost $45 and the state sales tax is 7%.
Rasek [7]

Answer:

$22.84

Step-by-step explanation:

The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.

3 0
3 years ago
I need help on this question
barxatty [35]
I believe this is pythag

15^2 x 11^2 = 27225

(square root) of 27225 = 165

165ft
6 0
3 years ago
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