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juin [17]
3 years ago
15

What is the slope of the line on the graph?

Mathematics
1 answer:
Leni [432]3 years ago
8 0
Rise over run, so if the line had a slope of 3/5 you would go up 3 and over 5 to plot your next point. I hope this helped <3
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12^13–12^12+12^11 is divisible by 7 and 19.
fiasKO [112]

Answer:

The statement is true

Step-by-step explanation:

The question is as following :

12^{13}-12^{12}+12^{11} is divisible by 7 and 19, true or false?

The given expression is 12^{13}-12^{12}+12^{11}

Take 12^{11} as a common

12^{13}-12^{12}+12^{11} = 12^{11}*(12^2-12^1+12^0)\\= 12^{11} *(144-12+1)\\=12^{11} * 133\\= 12^{11} * 7 * 19

So, 12^{11} * 7 * 19 divided 7 = 12^{11} * 19

And 12^{11} * 7 * 19 divided 19 = 12^{11} * 7

12^{13}-12^{12}+12^{11} is divisible by 7 and 19 (<u>True</u>)

8 0
3 years ago
Find four consecutive even integers such that the sum of the second and fourth and integer is one half times the sum of the firs
Artyom0805 [142]
Okay lets create an eqn from that information

A first int, B second int, C third int, D fourth int.

B = A + 2
C = A + 4
D = A + 6
A is the smallest integer

B + D = 0.5 (A + C) 

Now lets substitute

(A + 2) + (A + 6) = 0.5(A + (A + 4))
now lets dist

2a + 8 = 0.5(2a +4)
2a + 8 = a + 2
a + 8 = 2
a = -6

B = -6 +2
B = -4
C = -6 + 4
C = -2
D = -6 + 6
D = 0

Now using B + D = 0.5(A + C)
-4 + 0 = 0.5(-6 + (-2))
-4 = 0.5 (-8)
-4 = -4

Correct 
Therefore, First integer is -6, second integer is -4, third integer is -2 and fourth integer is 0
8 0
3 years ago
What is the measure of each interior angle of a regular 12-gon?
Alexxandr [17]

Answer:

Once you know the sum, you can divide that by 12 to get the measure of each interior angle: 1800°/12 = 150°

Step-by-step explanation:

4 0
3 years ago
Un automóvil corre a 120 kilómetros por hora y otro a 80 kilómUetros por hora; si deben recorrer 960 kilómetros, ¿con cuántas ho
Artist 52 [7]

Answer:

4 hours

Step-by-step explanation:

The speed of the first car is

v_1 = 120 km/h

While the speed of the second car is

v_2=80 km/h

The time it takes for each car to cover a distance d is

t=\frac{d}{v}

where

d = 960 km is the total distance covered

For car 1, the time taken is:

t_1=\frac{960}{120}=8 h

For car 2, the time taken is:

t_2=\frac{960}{80}=12 h

Therefore, the difference in time is:

\Delta t =t_2-t_1 =12 -8 = 4 h

8 0
3 years ago
What is the vertex of the quadratic equation below? y=x^2-8x+1 Explanation?
scoray [572]

To find the vertex, you need to find the axis of symmetry first.

In order to find the axis of symmetry we have to do -b/2a.

In our case, the b is -8 and the a is 1.

Plug it in.

-(-8)/2(1)

8/2 = 4

Our axis of symmetry is 4.

Now, we plug it into the equation to find the rest of the vertex.

y = 4^2 - 8(4) + 1

y = 16 - 32 + 1

y = -16 + 1

y = -15

Put it together.

Our vertex is (4,-15).

3 0
3 years ago
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