Answer:
y - 7 = 16/13(x - 7)
General Formulas and Concepts:
<u>Alg I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
Slope Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-6, -9)
Point (7, 7)
<u>Step 2: Find slope </u><u><em>m</em></u>
- Substitute:
- Add:
<u>Step 3: Write equation</u>
y - 7 = 16/13(x - 7)
Answer:
P = 30
A = 22
Step-by-step explanation:
Find perimeter first
P = 5 + 5 + 2 + 2 + 2 + 2 + 2 + 2 + 4 + 4
P = 10 + 12 + 8
P = 30
Now area
A = 2(5 * 2) + (2 * 1)
A = 2(10) + (2)
A = 20 + 2
A = 22
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Answer:
The height of the dog house = 4 feet.
Step-by-step explanation:
Given:
The shape of the dog house is like a tent.
The slant heights of the house is 5 feet.
The bottom of the house is 6 feet across.
To find the height of the dog house at its tallest point.
Solution:
On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.
Thus, we ave a right triangle, of which one leg = 
and hypotenuse = 
<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>
Plugging in values.
Subtracting both sides by 9.
Taking square root both sides.
Thus, the height of the dog house = 4 feet.
For answering multiple choice, you can do the following:
Observe the diagram, noting that one curve has positive slope, and the other has negative slope.
Looking at the equations,
if x and y are on the same side of the equal sign, (which is the case here), then
- coefficients of x and y have equal signs (both+, or both -) then the equation has negative slope.
- coefficients of x and y have different signs (+-, or -+), then the equation has positive slope.
We see the second system has both equations with positive slope, and the third system has both equations with negative slopes. They're out!
Next, we check the y-intercept of the first equation (by setting x=0),
first system: 0+2y=-10 => y-intercept=-5, slope=-1/2 Good
fourth system: 0-2y=-10 => y-intercept=+5 No good.
Finally, check the x-intercept of the second equation of the first system (by setting y=0)
first system: 3x-0=12 => x-intercept = 12/3=+4, slope = +3 good
So we conclude the first system is the correct answer.
