Which of the binomials below is a factor of this trinomial?5x2 + 15x -50
O A. X-10
O B. X-2
O C. x+10
O D. x+ 2

Answers

Answer 1
Answer:

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)


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Ian is another of Josie’s clients. He is 60 years old. What is the MHR for Ian when he is training

Answers

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

MHR=190-(age-30)/2
MHR=190-(60-30)/2
MHR=190-(30/2)
MHR=190-15
MHR=175 bpm

What would you assume at the beginning of an indirect proof for the following?A number divisible by 2 is even. The number 13 is not even.

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

Answers

The begging for inderict proof is that The number 13 is even.

I took the test and got D) Correct

What is the intersection of plane STXW and SVUT?A. SV
B. ST
C. YZ
D. TX

Answers

B. ST is the intersection of plane STXW and SVUT.

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.


Pls include explanation

Answers

Answer:

  • See below

Step-by-step explanation:

Corresponding sides have equal ratios:

  • OB / OP = OK / OS

Let the y-coordinate of the point K is y, then we have:

  • 5 / 8 = y / - 12
  • y = - 12*5/8
  • y = - 7.5

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:

  • k = OP / OB = 8/5 = 1.6 or
  • k = OS / OK = -12 / -7.5 = 1.6

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:

  • OP = 8 units
  • OB = 5 units
  • OS = 12 units

Therefore:

\sf \implies OP:OS = OB:OK

\sf \implies 8:5= 12:OK

\implies \sf (8)/(5)=(12)/(OK)

\implies \sf 8 \cdot OK = 12 \cdot 5

\implies \sf OK=(60)/(8)

\implies \sf OK=7.5

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:

\implies \sf scale\:factor=(OP)/(OB)=(8)/(5)=1.6

Learn more about similar triangles here:

brainly.com/question/21427237

brainly.com/question/27928866

Write 0.4% as a fraction in simplest form.

Answers

To find the decimal form of a percentage, you divide by 100.  If you have a decimal, then to divide by 100 just move the decimal 2 places to the left.

0.4% = .004

Now to turn it into a fraction, just read the place value...
four one thousandths = 4/1000

Now reduce... 4/1000 = 2/500 = 1/250

The simplest form of 0.4% as a fraction is...    1/250

Question 24 Multiple Choice Worth 1 points)(8.01 MC)
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

Answers

Given:

The system of equations is:

Line A: y=x-4

Line B: y=3x+4

To find:

The solution of given system of equations.

Solution:

We have,

y=x-4              ...(i)

y=3x+4           ...(ii)

Equating (i) and (ii), we get

x-4=3x+4

-4-4=3x-x

-8=2x

Divide both sides by 2.

-4=x

Substituting x=-4 in (i), we get

y=-4-4

y=-8

The solution of system of equations is (-4,-8).

Now verify the solution by substituting x=-4, y=-8 in the given equations.

-8=-4-4

-8=-8

This statement is true.

Similarly,

-8=3(-4)+4

-8=-12+4

-8=-8

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.