Ok so first off you need to get rid of the clauses in the equation.
So 4.5 ( -4) becomes -18 and -2.5(3+28) becomes -77.5
-18 + 36 = 202 - 77.5
Now you are going to solve the equation.
18 = 122.5
Hope this helped ;),
Casey
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
Answer:
![\cos \theta = \frac{\sqrt{15}}{4}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D%7D)
Step-by-step explanation:
Recall that
. Therefore, ![\sin\theta=-(-\frac{1}{4})=\frac{1}{4}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D-%28-%5Cfrac%7B1%7D%7B4%7D%29%3D%5Cfrac%7B1%7D%7B4%7D)
In any right triangle:
- The sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle (o/h)
- The cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle (a/h)
- The tangent of an angle is equal to its opposite side divided by its adjacent side (o/a)
From
and
, we know:
's opposite side is 1
's adjacent side is
- The hypotenuse of the triangle is 4
Therefore, the desired answer is
.
Answer:
C. 2 units
Step-by-step explanation:
The ratio of side lengths in an isosceles right triangle is ...
1 : 1 : √2
If you don't already have this memorized, you can figure it out using the Pythagorean theorem:
BD² = AD² +AB² = 1 + 1 = 2
BD = √2 . . . . taking the square root
__
We are told that BD = DC, so we know the larger triangle is also an isosceles right triangle. This one has short sides of length √2, so the long side (BC) will have length (√2)×(√2) = 2.
The length of BC is 2 units.