Answer:
y-8=-3/7(x-5)
Step-by-step explanation:
the equation goes like : y-y1=m(x-x1) now just input all of that stuff where it goes and you get your answer. m is slope btw
To find surface area we add up the areas of each face of the pyramid. The area of the square base is given by (3.4)(3.4) = 11.56 in².
To find the area of each triangular face, we first need to find the height of each triangle. We have the slant height and the base. The slant height serves as one of the sides of the triangle. We can draw the height from the top vertex to the base and use the Pythagorean Theorem to find the height. This height we drew splits the base in half, so in our Pythagorean Theorem we have:
(1.7)² + <em /><em>b</em>² = (3.8)²
(The half of the base will be one leg and the slant height is the hypotenuse)
This gives us 2.89 + <em>b</em>² = 14.44
Subtract 2.89 from each side to cancel it:
2.89 + <em>b</em>² - 2.89 = 14.44 - 2.89
<em /><em /><em>b</em>² = 11.55
Take the square root of both sides and we have
<em></em><em /><em>b </em>= 3.4
The formula for the area of a triangle is <em>A</em> = (1/2)<em>b</em><em>h</em>. The base of our triangle is 3.4 and the height we just found is 3.4.
(1/2)(3.4)(3.4) = 5.78
The surface area will be 11.56 + 3.4 + 3.4 + 3.4 + 3.4 (there are 4 triangular faces) or 34.68 in²
Answer: y = 2x+22
========================================================
Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Answer:
1 2/6
Step-by-step explanation:
Answer:
First one is Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
21
√
15
+
21
√
10
Decimal Form:
147.74048113
Second on is Simplify the radical by breaking the radicand up into a product of known factors.
Exact Form:
63
√
6
Decimal Form:
154.31785379
Step-by-step explanation: