Answer:
3) Obtuse
4) Right
Step-by-step explanation:
3)
11 + 13 > 25 It is a triangle
11² + 13² = 25²
121 + 169 = 625
290 ≠ 625
Since hypotenuse is larger, the triangle is obtuse
4)
21 + 28 > 35 It is a triangle
21² + 28² = 35²
441 + 784 = 1225
1225 = 1225
Since the hypotenuse is equal to the legs, it's a Right triangle
The expression:
gives the distance traveled by the aircraft in t hours, so, for t = 6:
<h3>
Answer:</h3>
y = 2x + 5
<h3>
Step-by-step explanation:</h3>
<u>Definitions</u>:
Slope Intercept form; y = mx + b
m = slope
b = y intercept
Step 1: Since the slope is given plug it into y = mx
y = 2x + b
Step 2: Plug a points' x and y into their corresponding spots to solve for b
(33) = 2(14) + b
Simplify and solve
33 = 28 + b
-28 -28
5 = b
Plug both your slope in and your y intercept into y = mx + b
y = 2x + 5
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
Answer:
f(-4) = -6
g(2) = -14
Step-by-step explanation:
To evaluate a function we must plug in the values of x. So for:
f(x) = 2x+2
we have:
f(-4) = 2(-4)+2
then we simplify:
f(-4) = -8+2
so f(-4) = -6
Now the same steps are taken for g(x) in which the answer would be -14.
