Answer:
C. x-intercept: −⅞; y-intercept: -7
Step-by-step explanation:
X-intercept
0 = −8x - 7
+7 + 7
__________
7 = −8x
_ ____
−8 −8
−⅞ = x
__________________________________________________________
Y-intercept
y = −8[0] - 7
0
y = −7
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Answer:
B = (-6, 6)
Step-by-step explanation:
If M is the midpoint of AB, then ...
B = 2M - A
B = 2(-1, 4) -(4, 2) = (-2-4, 8-2)
B = (-6, 6)
Answer:
Consider a right angle triangle ABC such that B =90 degree as shown in figure given below with all the three sides labelled.
let ![\angle C = 40^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20C%20%3D%2040%5E%7B%5Ccirc%7D)
Sum of all the measures of an angle in a triangle is 180 degree.
In triangle ABC
![\angle A +\angle B +\angle C =180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%20%2B%5Cangle%20B%20%2B%5Cangle%20C%20%3D180%5E%7B%5Ccirc%7D)
![40^{\circ}+90^{\circ}+\angle C= 180^{\circ}](https://tex.z-dn.net/?f=40%5E%7B%5Ccirc%7D%2B90%5E%7B%5Ccirc%7D%2B%5Cangle%20C%3D%20180%5E%7B%5Ccirc%7D)
or
![130^{\circ}+\angle C= 180^{\circ}](https://tex.z-dn.net/?f=130%5E%7B%5Ccirc%7D%2B%5Cangle%20C%3D%20180%5E%7B%5Ccirc%7D)
Simplify:
![\angle C= 50^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20C%3D%2050%5E%7B%5Ccirc%7D)
The side AC (Hypotenuse) = 10 cm
Now, find the other sides i.e, AB and BC;
Using Sine rule
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse side.
then
![\sin B = \frac{opposite side}{Hypotenuse side} =\frac{AB}{AC}](https://tex.z-dn.net/?f=%5Csin%20B%20%3D%20%5Cfrac%7Bopposite%20side%7D%7BHypotenuse%20side%7D%20%3D%5Cfrac%7BAB%7D%7BAC%7D)
or
![\sin 40^{\circ} = \frac{AB}{10}](https://tex.z-dn.net/?f=%5Csin%2040%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BAB%7D%7B10%7D)
or
![AB =10 \times \sin 40^{\circ}](https://tex.z-dn.net/?f=AB%20%3D10%20%5Ctimes%20%5Csin%2040%5E%7B%5Ccirc%7D)
Simplify:
AB = 6.4278761 ≈ 6.43 cm
Now,by using tangent rule to solve for BC
In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
then;
![\tan B = \frac{opposite side}{Adjacent side} =\frac{AB}{BC}](https://tex.z-dn.net/?f=%5Ctan%20B%20%3D%20%5Cfrac%7Bopposite%20side%7D%7BAdjacent%20side%7D%20%3D%5Cfrac%7BAB%7D%7BBC%7D)
or
![\tan 40^{\circ} = \frac{6.4278761}{BC}](https://tex.z-dn.net/?f=%5Ctan%2040%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7B6.4278761%7D%7BBC%7D)
or
![BC =\frac{6.4278761}{\tan 40^{\circ}}](https://tex.z-dn.net/?f=BC%20%3D%5Cfrac%7B6.4278761%7D%7B%5Ctan%2040%5E%7B%5Ccirc%7D%7D)
Simplify:
BC = 7.66044443≈ 7.66 cm
therefore, the sides AB and BC of the triangle ABC are 6.43(approx) and 7.66(approx.)
Answer: Cosx/(1+sinx + 1+sinx)/cosx = 2secx
Step-by-step explanation:
67°, every triangle equals 180° so add together 35+78 which equals 113. subtract 180-113 and get 67!