Answer: D
Step-by-step explanation:
Using the equation plot in the coordinates of the points to see if they fit the equation.
5x-3y < 30
A) 5(-3) -3(5) < 30
-15 -15 < 30
-30 < 30 This is true
B) 5(0) -3(0) < 30
0 - 0 < 30
0< 30 This is true
C) 5(-5) - 3(3) < 30
-25 - 9 < 30
-34 < 30 This is also true
D) 5(3) - 3(-5) < 30
15 + 15 < 30
30 < 30 This is not true because 30 is not greater that 30
Answer:
49
Step-by-step explanation:
(4 × 10) + 9
= 49
Answer:
A
Step-by-step explanation:
Given
![\frac{x}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B%5Csqrt%7B2%7D%20%7D)
Multiply numerator/ denominator by
to rationalise the denominator
=
=
→ A
Answer:
B: 7.07 units
Step-by-step explanation:
We see a radius of circle A labeled 3, so we know that the other radius of circle A that contains the side of the rectangle also measures 3 units. The side of the rectangle measures 2, so the part of the radius of circle A that is not part of the rectangle measures 1 unit. That is one leg of the right triangle.
Opposite sides of a rectangle are congruent, so the side of the rectangle opposite the side that measures 7 also measures 7. That is the other leg of the right triangle. Now we use the Pythagorean theorem to find AC which is the hypotenuse of the right triangle.
a² + b² = c²
1² + 7² = c²
1 + 49 = c²
c² = 50
c = √50
c = 7.07
well, I'd say never, since intersection by its definition means, <u>it comes from somewheres, hits the other, and keeps on going</u>, like the planes P and Q in the picture below.
so intersection by definition is not in a straight line.