Calculate the area of triangle ABC with altitude CD, given A(6,-2) B(1,3) C(5,5) D(2,2)
1 answer:
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Answer:
1. A. 1
2. D.
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into
by using the Power of a Power Property.
And then use the Product Property,
So now, our fraction is this:
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: or
. Which then you plug the numbers in:
. And since we know that in Zero Exponent Property:
, we can see that
. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property:
So plug the numbers in the property: =
Product Property:
We plug the equation in with turned into
---
So the answer is , which is D
I hope this helps!
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Answer:
Gradient = 2
Step-by-step explanation:
Gradient of a line = Slope of the line
Since, slope of a line passing through two points and
is given by,
Slope =
Given line in the graph passes through two points (1, 0) and (2, 2)
Therefore, slope or gradient of the line =
= 2
Gradient = 2 will be the answer.
Answer:
15 cm
Step-by-step explanation:
The altitude is one leg of the right triangle formed by the altitude, half the base, and the triangle side. The Pythagorean theorem applies, so you have ...
... (17 cm)² = (altitude)² + (16 cm/2)²
... altitude = √(17² -8²) cm = √225 cm
... altitude = 15 cm
