Answer:
3w² + 10w +8 (C)
Step-by-step explanation:
A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?
First, remember that the length of the first rectangle is 3 * w, or 3w.
Now, onto the second rectangle.
The width is increased by 2, so it becomes w + 2
The length is increased by 4, so it becomes 3w +4.
Area is length times width, so the area is
(w + 2)(3w + 4)
Simplify.
3w*w + 4*w + 2*3w + 2*4 =
3w² + 4w + 6w +8
3w² + 10w + 8, or C
The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
An isosceles triangle is one in which 2 angles have similar
measure while the other one is different. In this case, the 2 vertex angles
have a measure of 42 degrees, therefore the third angle which is equal to (2x +
3) is:
(2x + 3) + 42 + 42 = 180
2x + 3 = 96
<span>x = 46.5°</span>
<span>x^2 - 12x - 45
= (x - 15) (x + 3) .........</span><span>factored form</span>
Answer:
D=The graph touches at the x-axis at x=-4 and crosses the x-axis at x=1
Step-by-step explanation:
