1. Solve the equation.
Type your answer as x =
x+3
____ = 2
5
The graph shows Nick's bike ride home to his grandparents and then returning home.
Which interval shows Nick's distance from home increasing slowly?
Type just the letter that appears above the part of the graph you have chosen. (example: E)
(Since theres no graph, ill try to explain it to the best of my capability. Sorry if it's bad!)
Distance from home (km) = 15
Time: 9:24 AM
Letter: A
Distance from home (km) = 24
Time: 10:01 AM
Letter: B
Distance from home (km) = 27
Time: 11:05 AM
Letter: C
Distance from home (km) = 17
Time: 12:15 PM
Letter: D
Distance from home (km) = 6
Time: 12:29 PM
Letter: E
Distance from home (km) = 4
Time: 12:58 PM
Letter: F
Letter: A
The triangle the picture represents a utility pole (a), which is perpendicular to the ground (b). Henry would like to know how long the guy wire (c) should be.
He knows the pole is 20 feet tall (a) and the distance along the ground from the pole to the wire is 15 feet (b).
What is the length of the wire?
A. 15 ft.
B. 25 ft.
C. 35 ft.
D. 152 ft.
B. 25 ft.
This can be solved using the Pythagorean theorem: c² = a² + b²
In this case, a = 20 and b = 15. Plugging those values into the formula, we get:
c² = 20² + 15²
c² = 400 + 225
c² = 625
c = √625
c = 25
Therefore, the length of the wire (c) should be 25 feet.
Find the perimeter of the triangle.
Left side of the triangle = 20
Right side of triangle = 29
A. 70 units
B. 210 units
C. 290 units
D. 420 units
C. 290 units
To find the perimeter of a triangle, you add up the lengths of its three sides.
Perimeter = left side + right side + base
The base length is not given, but we can use the fact that the left and right sides are two of the three sides of an isosceles triangle. This means they are congruent, so the base must have the same length as well.
Perimeter = 20 + 29 + 20
Perimeter = 69 + 20
Perimeter = 89
Therefore, the perimeter of the triangle is 89 units.
re Functions 1 and 2 the same? Explain.
Function 1: y = 3(x + 5)
Function 2: y equals three times x, plus five
*
Yes. 3(x + 5) and "three times x, plus five" are both equal to 15x.
No. 3(x + 5) = 15x and "three times x, plus five" would be 3x + 5.
Yes. 3(x + 5) and "three times x, plus five" are both equal to 3x + 5.
No. 3(x + 5) = 3x + 15 and "three times x, plus five" would be 3x + 5.