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liraira [26]
3 years ago
12

Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5),

C'(-2,-2) triangle are congruent when reflected over the x-axis.
Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0
If we reflect a point on a coordinate plane over x-axis the number of y- axis will be multiplied by -1

if we reflect a point on a coordinate plane over y- axis the number of x-axis will be multiplied by -1
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Need help on algebra hw question.
lyudmila [28]
<h3>Answer:  C) 5</h3>

==========================================================

Work Shown:

s = square side length

A = area of square = 9x^2+12x+4

A = s^2

A = (ax+b)^2

A = a^2*x^2 + 2abx + b^2 .... apply the FOIL rule

A = 9x^2 + 12x + 4

Equating corresponding terms, we see that,

  • a^2*x^2 = 9x^2 which shows that a^2 = 9 and that solves to a = 3, assuming 'a' is positive.
  • 2abx = 12x leads to 2ab = 12 or ab = 6. Using a = 3 we can find that b = 2.
  • b^2 = 4 solves to b = 2 which matches with the previous value of b found.

Using a = 3 and b = 2, the sum of the values is a+b = 3+2 = 5, so that's why the answer is choice C.

Side note: 9x^2 + 12x + 4 factors to (3x + 2)^2

5 0
3 years ago
Truck drivers report the mileage, or the number of miles (m)
Alenkasestr [34]

Answer:

Andy went as furthest as possible with a gallon of gasoline

Step-by-step explanation:

Let

m ----> the distance in miles

g ----> the number of gallons of gas

step 1

<u><em>Kelley's Mileage</em></u>

Find the slope of the linear function of Kelley's Mileage

we have the points

(0,0) and (20,50)

slope=(50-0)/(20-0)\\slope=2.5\ miles/gallon

the linear equation is

m=2.5g

step 2

<u><em>Andy's Mileage</em></u>

Find the slope of the linear function of Andy's Mileage

we have the points

(15,78.75) and (30,157.5)

slope=(157.5-78.75)/(30-15)\\slope=5.25\ miles/gallon

the linear equation is

m=5.25g

step 3

Rick's Mileage

we have

m=4.8g

therefore

the slope is 4.8\ miles/gallon

step 4

Compare the slopes

5.25\ miles/gallon > 4.8\ miles/gallon > 2.5\ miles/gallon

therefore

Andy went as furthest as possible with a gallon of gasoline

7 0
3 years ago
Read 2 more answers
BEDROOM Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide. Write a
tia_tia [17]

Answer:

(12 x 7) feet2

Step-by-step explanation:

formula of area= length times breadth

8 0
3 years ago
T/2+2=4 two step equations
FromTheMoon [43]
T=4 should be the answer if ur trying 2 solve for T

3 0
3 years ago
Describing part to part realationship
Leokris [45]

Answer:

If you mean a part to part ratio, this basically describes a ratio or relationship that compares two different groups.

Step-by-step explanation:

If you mean a part to part ratio, this basically describes a ratio or relationship that compares two different groups.

An example would be if I compared the number of dogs to cats in a house. If there were 10 dogs and 3 cats, I would write 10:3.

Hope this helped! God bless and stay safe :)

5 0
3 years ago
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