What methods of charging does John use?

Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of t

nikdorinn [45]

Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.

6 0

3 years ago

Which is equivalent?

Arlecino [84]

Steps to simplify:

(2x + 3)(x - 7)

~Use FOIL to multiply

(2x * x) + (2 * -7) + (3 * x) + (3 * -7)

~Simplify

=2x² - 14x + 3x - 21

~Combine Like Terms

2x² + (-14x + 3x) - 21

~Simplify

2x² - 11x - 21 (Option 2)

Best of Luck!

6 0

3 years ago

The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line

Sauron [17]

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 = -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

6 0

2 years ago

"A researcher wants to determine if consuming oatmeal regularly reduces the level of bad cholesterol. She finds 120 adults over

Inessa05 [86]

Answer:

An experimental research and particularly a quasi experimental study.

Step-by-step explanation:

An experimental research is one where the investigator study the effects from random samples he got and tested. the investigator manipulates parameters to considers some underlying factors in order to arrive at a conclusion. it is usually used to investigate relationships between variable and make comparison. In this case the investigator is conducting a research on how the consumption of oatmeal in adults reduces the level of bad cholesterol, he measures and study the level of bad cholesterol for 6months and then compare their results.

for example, I can conduct an extensive experimental study on the long term effects of exhaust fumes on the passengers (particularly adults between the ages of 25-50) of public transport in Nigeria. this will be studied and their effects will be compared and a conclusion will be reached on the exposure and the non exposure as the case maybe. most underlying conditions of experimental study are under the direct control of the researcher of the investigator. there are three different types of experimental research ; Pre-experimental study, quasi-experimental study and true-experimental study.

8 0

3 years ago

What is the measure of arc bc? A. 76 B. 40 C. 96 D. 58

Veseljchak [2.6K]

Answer:

A. 76

Step-by-step explanation:

Angle A is half the difference between the measures of arc DE and BC.

m∠A = (1/2)(DE -BC)

20 = (1/2)(116 -BC) . . . . substitute the given values

40 = 116 -BC . . . . . . . . multiply by 2

BC = 116 -40 . . . . . . . . add BC -40

BC = 76

_____

Comment on intersecting secants

When the secants intersect inside the circle, the angle where they cross is half the sum of the intercepted arcs. When they intersect outside the circle (as here), the angle where they meet is half the difference of the intercepted acs.

Sometimes it is easier to remember two related relationships than it is to remember just one of them.

4 0

3 years ago