<h3>
Answer: 10 cm (choice A)</h3>
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Explanation:
One equation we could solve is
x/2.5 = 30/7.5
Note the x/2.5 has us dividing the vertical sides, while 30/7.5 is the same idea for the horizontal sides. The order is large over small. You could do small over large, but make sure you keep both sides consistent.
Solving for x leads to...
x/2.5 = 30/7.5
x*7.5 = 2.5*30
7.5x = 75
x = 75/7.5
x = 10 (choice A)
There are many other possible equations that lead to the same answer. One other possible equation is x/30 = 2.5/7.5
These proportions are possible due to the fact we have similar triangles.
The answer is going to be 15
<span>y = x^2 +2x - 35</span>
x-intercept y=0
0 = <span>x^2 +2x - 35
</span>0 = <span>x^2 -5x + 7x - 35 //factoring with leading coefficient
</span>0 = x(x-5) + 7(x-5)
0 = (x+7)(x-5)
x=-7 or x=5
answer: C. -7 and 5
The equation given above is,
3x - 4y = 2
This can be expressed in slope-intercept form by transposing y to one side of the equation,
y = (2 - 3x) / -4
Simplifying,
y = 3x/4 - 1/2
The equations will form a system with no solution only if they have the same slope but different y-intercept.
(1) 2y = 1.5x - 2
y = 3x/4 - 1
Since this has the same slope as the given equation but different intercept then, this is one of the answers.
(2) 2y = 1.5x - 1
y = 3x/4 - 0.5
This is exactly the same as the given equation then, the equations will have infinite number of solutions.
(3) 3x + 4y = 2
4y = (2 - 3x)
y = -3x/4 - 1/2
The equations do not have the same slope so, this is not one of the answers.
(4) -4y + 3x = -2
y = (-3x - 2) / -4
y = 3x/4 - 1/2
This equation is also exactly as that which is given. Hence, they will have infinite number of solutions.
