Answer:
3
Step-by-step explanation:
f(x) = 2x-5
Let x = 4
f(4) = 2*4 - 5
Multiply
f(4) = 8 -5
Subtract
f(4) = 3
Answer:
y = -1/3x + 5
Step-by-step explanation:
Find slope.
m = y₂ - y₁ / x₂ - x₁
Two points given.
(0,5) (3,4)
m = 4 - 5 / 3 - 0
m = -1 / 3
y = -1/3x + b
Substitute x and y by an point. Let's take (0,5)
0 - x
5 - y
5 = -1/3(0) + b
5 = 0 + b
5 - 0 = b
5 = b
So,
y = -1/3x + 5
<u>Given</u>:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
<u>Measure of ∠ABO:</u>
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;
Substituting the values, we get;
Simplifying, we get;
Thus, the measure of ∠ABO is 22°
Replace the variable x<span> with </span><span>−3</span><span> in the </span>expression<span>.
</span><span>f(−3)=(−3<span>)^2</span>−3(−3)−7
</span>Simplify each term<span>.
</span><span>f(−3)=9+9−7
</span>Add 9<span> and </span>9<span> to get </span><span>18.
</span><span>f(−3)=18−7
</span>Subtract 7<span> from </span>18<span> to get </span><span>11.
</span><span>f(−3)=11
</span>The final answer is <span><span>11.
11</span></span>
