Answer: second option.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is the slope of the line and b the y-intercept.
We know that we can calculate the slope with:
Therefore, keeping the above on mind, you have that:
- If the line moves upward from the left to right, then the slope is positive.
- If the line moves down from the left to right, then the slope is negative.
Then, if the slope described moves 3 units down and 5 units to the right, the it is negative. Therefore:
![m=-\frac{3}{5}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B5%7D)
Answer: False
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Replace every x with -3. Then simplify the left side.
(x-5)(x-7) < 0
(-3-5)(-3-7) < 0
(-8)*(-10) < 0
80 < 0 ... this statement is false, 80 is not smaller than 0
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(x-5)(x-7) < 0 is false when x = -3
Step-by-step explanation:
Let the number be (10 x + y)
Then, 10 x + y = 3 * (x + y) (given)
10 x + y = 3 x + 3 y
10 x - 3 x = 3 y - y
7x = 2 y
x = 2 y / 7 ( Eq. 1)
Also, 10 x + y + 45 = 10 y + x ( given)
10 x - x = 10 y - y - 45
9 x = 9 y - 45 ( Eq. 2)
Substituting the value of x from (Eq. 1) in (Eq. 2), we have:
9 * 2 y / 7 = 9 y - 45
(9 y ) - (18 y / 7) = 45
63 y - 18 y = 315
45 y = 315
y = 7
From (Eq. 1),
x = 2 * 7 / 7 = 2
So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27
Sum of the digits = 2 + 7 = 9
9 * 3 = 27
Adding 45 to the number 27, we get 72. So, the digits get reversed.
Answer:
I see 3 triangles.
Step-by-step explanation:
Answer:
1. 9x-8y=9
2. -18x+16y= -18 ⇒ -9x+8y= -9 ⇒ 9x-8y=9
as we see both equations are same, it means the lines overlap and there is infinite number of solutions