Use the FOIL method to multiply these terms. Multiply the first, outside, inside, and last terms:
(5x - 4)(2x - 5)
(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)
10x² - 25x - 8x + 20
10x² - 33x + 20
The area of the rectangle should be 10x² - 33x + 20.
If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!
Answer:
Angle y and Angle x are complementary angles
Step-by-step explanation:
we know that
If
sin(y°)=cos(x°)
then
Angle y and Angle x are complementary angles
so
∠y+∠x=90°
∠x=90°-∠y
sin(y°)=cos(90°-y°)
therefore
The sine of an angle is equal to the cosine of its complementary angle
You would probably need a little larger sample of people because not all people wear corrective lenses. In almost any other survey, this would be a scientist’s dream, but in this one, you’d need it to be a little bigger.
Answer:
x+18
Step-by-step explanation:
Let's simplify step-by-step.
2x+8−x+10
=2x+8+−x+10
Combine Like Terms:
=2x+8+−x+10
=(2x+−x)+(8+10)
=x + 18
