Answer:
Step-by-step explanation:
= x²(-3 +5) +y²(2 -3) +5xy -2y
= 2x² -y² +5xy -2y
a) there are 4 terms in the simplified expression
b) 2 terms have negative coefficients (-y² and -2y)
Answer:
98
Step-by-step explanation:
From the statement of similarity, we can write this proportion.
TV/MV = UV/LV
28/x = 16/56
16x = 28 × 56
x = 7 × 14
x = 98
Answer:
= The exponent is 12
Step-by-step explanation:
(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12
Answer:
Step-by-step explanation:
The given inequality is
We need to simplify this inequality.
We multiply both sides by -1 and reverse the inequality sign.
This implies that:
This can also be written as:
All these are equivalent to the given inequality.
To find the height of a giant ice cream cone outside of an ice cream parlor, Jayda places a mirror on the ground 320 inches from the base of the cone. Then Jayda stepped back 28 inches so that she could see the top of the ice cream cone in the mirror. Jayda’s eyes were approximately 62 inches above the ground. What is the height of the ice cream cone? Round to the nearest whole number. (no decimal)