Answer:
5( x+5) (x-2)
Step-by-step explanation:
5x^2 + 15x -50
Factor out a 5
5(x^2 +3x - 10)
What 2 terms multiply to -10 and add to 3
5*-2 = -10
5-2 = 3
5( x+5) (x-2)
Answer:
166 bpm
Step-by-step explanation:
Ian's age = 60
MHR stands for maximum heart rate. There are two methods of calculating the MHR :
1) MHR = 220-age
2) MHR = 217-(0.85×Age)
Both the methods are easy to solve but the most accurate is the second one, hence we use the second method to calculate MHR of Ian.
MHR = 217-(0.85×Age)
= 217-(0.85×60)
166
Since the MHR is calculated in beats per minute (bpm)
Therefore, MHR of Ian = 166bpm
A. Even numbers are not divisible by 2
B. Even numbers are divisible by 2
C. The number 13 is not even
D. The number 13 is even
I took the test and got D) Correct
B. ST
C. YZ
D. TX
Answer: B. ST.
Step-by-step explanation: The intersection of two planes, if exists, is a straight line. Since the planes STXW and SVUT have S and T as common points and we can always draw a straight line given any two points in a plane, so ST is the line joining the points S and T, and hence, it is the intersection of the two given planes.
Thus, the correct option is B. ST.
Answer:
Step-by-step explanation:
Corresponding sides have equal ratios:
Let the y-coordinate of the point K is y, then we have:
Note, taken the coordinates of end points not the absolute distance.
The coordinates of the point K are (0, - 7.5)
The scale factor is:
Answer:
K = (0, -7.5)
Scale factor = 1.6
Step-by-step explanation:
If ΔBOK is similar to ΔPOS then the ratios of their corresponding sides are the same.
Given side lengths:
Therefore:
Therefore, the coordinates of K are (0, -7.5).
To find the scale factor, simply divide the corresponding side lengths of the larger triangle by the smaller triangle:
Learn more about similar triangles here:
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Given:
The system of equations is:
Line A:
Line B:
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get
Divide both sides by 2.
Substituting in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting in the given equations.
This statement is true.
Similarly,
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.