Question 1.
The Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the square of the two legs.
From the question, the hypotenuse is h=10 yd and one of the legs is 2yd.
This implies that,
Evaluate the exponents
Subbtract 4 from each side
The correct answer is C
Question 2
We want to solve
using inverse functions.
The inverse of an exponential function is a logarithmic function.
We take natural log of both sides to get;
Recall that
This means
Logarithm of the base is 1
Divide both sides by 4
The base of the triangle ABC is 12 units.
Step-by-step explanation:
Step 1; First we need to identify which side is the base of the triangle. In this given triangle side CB is the base. So we plot points C and B on the graph. Coordinates for C are (-4, -3) and for B are (8, -3). We need to find the distance between the 2 edges of the triangle.
Step 2; To find the distance of CB, we use the formula;
Distance = √ (x2 - x1)² + (y2 - y1)².
Distance between C (-4, -3) and B (8, -3) where C is (x1, y1) and B is (x2, y2).
Distance = √(8 - (-4))² + (-3 -(-3))² = √12² + 0² = √12² = 12 units.
Similarly, triangle ABC's height equals 10 units.
Answer:
$1.00 per bagel
Step-by-step explanation:
To find the unit rate, you just have to divide the number of bagels by how much they cost.
In your problem, the number of bagels is 6 and the price is also 6.
Now all you have to do is divide 6 by 6 and the answer to that is 1.
Example: 6 ÷ 6 = 1
Answer:
x=-17
Step-by-step explanation:
The answer for this question is Y=3x+1
