The y intercept is 2, because that is the value of y when it crosses the y axis.
Since the line is pointing down, it has a negative slope, and since the y value goes down 2 for every 3 x values, the slope is -2/3. You should always right the slope in rise/run form, or change in y/change in x.
Finally, write the equation in the form of y=mx+b, where m is the slope and b is the y intercept. This means the equation of the line is y=-2/3x+2.
You can also do the division with remainders to find the answer:
195 ÷ 96 = 2,041666666666667
So you can clearly see that there are more than two but less than three 96s in 195. So multiply 96 by 2 and then substract the result from 195 to find the remainder:
96 * 2 = 192
195 - 192 = 3
It means that in 195 there will fit two 96s with a remainder of 3.
We can also write it as two 96s and 3/96, what can be further simplified to two 96s and 1/32.
Answer:
43
Step-by-step explanation:
3x + 10 = 5x - 12
10 = 2x - 12
22 = 2x
x = 11
check:
33 + 10 = 55 - 12
43 = 43
correct
x = 11 so bring this into 3x + 10
we get 43
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem to find the zeros of 6x² - 9x - 6.
x = [9±√(9²-4(6)(-6))]/[2(6)] = [9±√225]/12 = [9±15]/12 = 2, -½
Answer:
B. 60.26°
Step-by-step explanation:
Given:
Consider the diagram representing the above scenario.
The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.
Height of the house (AC) = 21 ft
Distance between the house and son (BC) = 12 ft
Let the angle of depression for the dad be 'x'.
From the figure, it is clear that,
Angle of depression of the dad will be same as angle of elevation of Artie.
For triangle ABC,
Therefore, the angle of depression from the top of the house to the spot where Artie is standing is 60.26°.
Therefore, the correct option is option (B).
