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Airida [17]
2 years ago
15

Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

Mathematics
1 answer:
timama [110]2 years ago
5 0

Answer:

hahahhaa thanks

Step-by-step explanation:

ahahahhahahad

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Find the value of p for which the given pair of linear equations have infinitely many solutions for 4X + 3 Y - 4 is equals to ze
tino4ka555 [31]

Answer:

x=8/3

y= -20/9

Step-by-step explanation:

4X + 3Y -4 =0

Linear egquations must in

x + y = 0

so 4X + 3Y =4

THEN

3X + 9Y = - 12

next use calculator to solve it or you can use traditional way

4 0
3 years ago
(-3,2) and ( 2,-13) slope intercept equation
Georgia [21]

Given:

The points are (-3, 2) and (2, -13).

To find:

Slope-intercept form of the equation.

Solution:

Here x_1=-3, y_1=2, x_2=2, y_2=-13.

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-13-2}{2-(-3)}

$m=\frac{-15}{5}

m = -3

Using point-slope formula:

y-y_1=m(x-x_1)

y-2=-3(x-(-3))

y-2=-3(x+3)

y-2=-3x-9

Add 2 on both sides.

y-2+2=-3x-9+2

y=-3x-7

Slope-intercept form of the equation is y = -3x - 7.

8 0
3 years ago
Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t
MAXImum [283]

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
gulaghasi [49]

Answer:  (C) shifts 6 units to the LEFT

<u>Step-by-step explanation:</u>

The vertex form of an absolute value equation is:

y = a |x - h| + k    where;

  • a is the vertical stretch (irrelevant for this problem)
  • (h, k) is the vertex

Since h represents the x-coordinate and the x-axis is left to right, then h shifts  the graph left or right.

  • If h is negative, the graph shifts to the left.  
  • If h is positive, the graph shifts to the right.

x + 6 is actually x - (-6), so h is negative and the graph shifts to the left.

8 0
3 years ago
7x-x ............................ .
oee [108]

Answer:

6x

Step-by-step explanation:

6 0
3 years ago
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