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2 years ago

What is the explicit rule that describes the arithmetic sequence shown in the graph

Mathematics

1 answer:

boyakko [2]2 years ago

5 0

Answer:

an = 50 + (n - 1)150

Step-by-step explanation:

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As an estimation we are told 5 miles is 8 km.<br>Convert 52 km to miles.

11111nata11111 [884]

Answer:

83.2

Step-by-step explanation:

Given, 5 miles is 8km.

So, 1 mile will be (8/5) km.

Now, 52 miles will be (8/5) x 52= 83.2

sorry if I'm wrong plz don't report me :(

(hope this helps can i plz have brainlist :D hehe)

4 0

2 years ago

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Determine the slope from the given graph below:

kotegsom [21]

Answer:

Step-by-step explanation:

6 0

2 years ago

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1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

What is the answer for this question

Aliun [14]

-1/2 / 3/4 =

The first step is to flip the second fraction and change division to multiplication. Then multiply straight across.

-1/2 x 4/3 = -4/6

In simplified form:
-4/6 = -2/3

8 0

3 years ago

Help with 4, 5, and 6, please!

defon

Answer:

4. -6

5. -5

6. 2

Step-by-step explanation:

2x + 3 <= -9

2x <= -9 - 3

2x <= -12

= x <= -6

3p + 4 > -11

3p > -11 -4

3p > -15

p > -5

5x + 6 >= 16

5x >= 16 - 6

5x >= 10

x >= 2

6 0

2 years ago