Answer:
Step-by-step explanation:
y = 4 + 6x
Let x = 1
y = 4 + 6(1)
y = 4 + 6
y = 10
Let x = 5
y = 4 + 6*5
y = 4 + 30
y = 34
Let x = 6
y = 4 + 6x
y = 4 + 6*6
y = 4 + 36
y = 40
Let x = 10
y = 4 + 6*10
y = 4 + 60
y = 64
Length BC is opposite of angle A and AC is opposite of angle B.
<span>Since we know one set of opposite angles and lengths and looking for the length where we know the opposite angle, we can use law of sines: </span>
<span>a / sin(A) = b / sin(B) </span>
<span>8 / sin(71) = b / sin(42) </span>
<span>b sin(71) = 8 sin(42) </span>
<span>b = 8 sin(42) / sin(71) </span>
<span>b ≈ 5.66 units (rounded to 2DP)</span>
Isolate the variable by subtracting 8x from both sides to get -4x = -1. multiply both sides by -1 to get 4x = 1. divide both sides by 4 to get x = 1/4.
Answer:
Grad point says 3.1
Step-by-step explanation:
Solve for k by simplifying both sides of the inequality, then isolating the variable.
Inequality Form: k
≤
2.6
Interval Notation: (
−
∞
,
2.6
]
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
