Answer:
y = -2/3 + 6
Step-by-step explanation:
Slope = -2/3
Point (- 3, 8)
b = 8 - (-2/3)(-3)
= 8 - 2
= 6
Answer:
33 and 34
Step-by-step explanation:
Let the integers be x and x+1 respectively.
4x = 3(x+1) + 30
x = 33
therefore, the integers are 33 and 34
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.
Option D is correct.
Step-by-step explanation:
if angle A is obtuse and if a > b then the triangle has one solution
We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.
Finding remaining side c and ∠B and ∠C
Using Law of sines to find ∠B
a/sin A = b/sin B
7/sin 119° = 4/sin B
7 * sin B = 4 * sin 119
7*sin B = 4(0.874)
sin B = 3.496/7
B = sin^-1(0.4994)
B = 29.96 = 30°
We know that sum of angles of triangle = 180°
So, 180° = 119° + 30° +∠C
180° = 149° + ∠C
=> ∠C = 180° - 149°
∠C = 31°
Now finding c
b/sin B = c /sin C
4/Sin 30 = c/sin 31
4* sin 31 = c*sin 30
4*0.515 = c* 0.5
=> c = 4*0.515/0.5
c = 4.12 ≈ 4
So, Option D one solution; c ≈ 4; B = 30°; C = 31° is correct.
Answer:
more likely
Step-by-step explanation:
the probability of 0.05 suggests there is a chance of that event happening. A probability of 0 says that such event would never happen. so despite being small the 0.05 chance is higher than the probability of 0
D. 7.1
A circle has an area of 40 square meters. Which answer is closest to the measure of its diameter?
