Answer:
±1, ±2, and ±4
Step-by-step explanation:
4x² + bx + c = (Ax + B) (Cx + D)
Distribute:
4x² + bx + c = ACx² + (AD + BC) x + BD
Matching the coefficients, AC = 4. So A must be a factor of 4. Possible values of A are therefore ±1, ±2, and ±4.
Answer:
8 inches
Step-by-step explanation:
ROCK is a kite. The area of a kite is denoted by:
A = (1/2) * d1 * d2, where d1 and d2 are the diagonals
Here, the two diagonals are x and 15, and we know the area is 60, so plug these into the equation:
A = (1/2) * d1 * d2
A = (1/2) * 15 * x
60 = (1/2) * 15 * x
x = 120 / 15 = 8
Thus, x = 8 inches.
Answer:
B.) 15
Step-by-step explanation:
The order in which the shades are chosen is not important. For example, choosing powder then sky is the same outcome as choosing sky then powder. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
2 shades from a set of 6. So
So the correct answer is:
B.) 15
Hey there! :D
When there are two lines (parallel) that are cut by a transversal, corresponding angles form. These are angles that are in the same position on the same side. m<2 is corresponding to the angle that equals 38 degrees. They are congruent and have the same measure.
m<2= 38 degrees
Remember, this only works because the problem said that line L and M are parallel.
I hope this helps!
~kaikers
Answer:
4/24
Choice B is correct
Step-by-step explanation:
From the information given, there is 1 table for every 6 chairs at the restaurant. In ratio form this can be expressed as;
1:6
The ratio that is equivalent to this given ratio is 4/24. This can easily be checked through simplification of this ratio;
4/24; If we divide both the numerator and the denominator by 4 we obtain
1/6 which is equivalent to 1:6
