Answer:
x = -5
Step-by-step explanation:
2x-3+3x= -28
combine like terms
5x -3 = -28
add 3 to each side
5x-3+3 = -28+3
5x = -25
divide each side by 5
5x/5 = -25/5
x = -5
Answer:
11.2 ft
Step-by-step explanation:
Assuming the building meets the ground at right angles, the right triangle formed has side length 10 ft and hypotenuse 15 ft. Then the other side length (d) is given by the Pythagorean theorem as ...
d² + 10² = 15²
d² = 225 -100 = 125
d = √125 = 5√5 ≈ 11.2 . . . feet
The bottom of the ladder is about 11.2 feet from the building
Answer:
1: Reflect M across the x-axis
2: Dilate about the center by 3/2
Step-by-step explanation:
Given
See attachment for M and N
Required
Which maps M to N
The coordinates of the radius of the circles are:
And the radius of circles are:
The first transformation from M to M' is:
- Reflect across the x-axis
The rule is:
<em>At this point, M' and N now have the same center but different radius.</em>
The second transformation from M' to N is:
- Dilate about the center by dividing the radius of N by the radius of M
i.e.
<em>At this point, M has been completely mapped to N.</em>
Ron has 22 cards
number one tip in math, try to create equation!
set number of cards Ron has as x (always set x as what you are looking for)
set number of cards Tori has as (x-9) because if Ron has 9 more cards than Tori that's same thing as saying Tori has 9 cards less than Ron
Number of cards Tori and Ron has need to equal 35
Therefore,
x + (x-9) = 35
Solve:
2x-9=35
bring over 9 to other side
2x=44
divide both sides by 2
x=22
So number of cards Ron has is 22
