$3x+4y=2\qquad\text{subtract 3x from both sides}\\\\4y=-3x+2\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{2}{4}\to y=-\dfrac{3}{4}x+\dfrac{1}{2}\\\\for\ x=0\to y=-\dfrac{3}{4}(0)+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\to\left(0,\ \dfrac{1}{2}\right)\\\\for\ x=2\to y=-\dfrac{3}{4}(2)+\dfrac{1}{2}=-\dfrac{3}{2}+\dfrac{1}{2}=-\dfrac{2}{2}=-1\to(2,\ -1)\\--------------------------------\\$

$4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}$

6 0

3 years ago

Read 2 more answers

Help me with this question please

IRISSAK [1]

We have consecutive odd numbers for the sides of a triangle, perimeter 201. We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.

This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.

Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.

Smallest side 61, false.

Largest side 69, true.

This last one doesn't make much sense to me. What's a unit here? Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter. It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches. If I have to answer I'd go with false.

5 0

3 years ago

Find value 40% of 25 is what number?

lakkis [162]

40% from 25 is:

25 * 40% =
= 25 * 40/100 =
= 25 * 4/10 =
= 25 * 0,4 =
= 10

Another way is to find 1% of 25 and then multiply it by 40:

25 * 40% =
= (25 / 100) * 40 =
= 0,25 * 40 =
= 10

7 0

3 years ago