Answer: answer in screenshots down below
Step-by-step explanation:
Calculate the area of triangle ABC with altitude CD, given A (−3, −4), B (−6, 2), C (0, 0), and D (−4, −2). a. 14 square units b
. 15 square units c. 18 square units d. 20 square units
1 answer:
Answer:
b. 15 square units
Step-by-step explanation:
We notice from the graph that AB is the hypotenuse of a right triangle 3 units wide and 6 units high. The Pythagorean theorem tells you the length of that will be ...
AB = √(3^2 +6^2) = √45 = 3√5
Similarly, altitude CD is the hypotenuse of a right triangle 4 units wide and 2 units high, so its length will be ...
CD = √(4^2 +2^2) = √20 = 2√5
The area is given by the formula ...
A = 1/2bh
A = 1/2(3√5)(2√5) = 15 . . . square units
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<u>Answer:</u>
gradient = =
y-intercept =
<u>Step-by-step explanation:</u>
• The slope-intercept form of an equation takes the general form:
,
where:
m = slope,
c = y-intercept.
• We are given the equation:
To change this into the slope-intercept form, we must make y the subject:
[subtract
from both sides]
⇒ [divide both sides by 3]
⇒
• Comparing this equation with the general form equation, we see that:
m =
c = .
This means that the gradient is , and the y-intercept is
.