Answer:
3(9m + 13) - (m + 10) = 1
Step-by-step explanation:
Here, we want to write an equation we can use to find the age of Mario.
Let the present age of Mario be M
Age of Sarah is 3 years older than 9
times Mario’s age
Mario’s age is thus;
9m + 3
In ten years, she will be 1 less than triple his age
In 10 years time, sarah age will be 9m +
3 + 10 = 9m + 13
Mario age will be m + 10
Mathematically;
3(9m + 13) - (m + 10) = 1
Answer:
C) Z
Step-by-step explanation:
In the right triangle, X and Y are side lengths, while Z is the hypotenuse, so C is the correct answer.
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
__
7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
__
8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
b (?) and c
m and n have the same slope (-2/5) so m//n
<em><u>Answer</u></em>
c. It divides the radius by 2.
<em>Explanation</em>
The general equation of a circle is
(x-h)² + (y-k)² = r²
Where (h, k) makes the coordinates of the circle and r the radius.
x² + y² = 25 For this equation,
center (0, 0)
Radius = √25 = 5
4x² + 4y² = 25 First simplify this equation
4x² + 4y² = 25 ⇒ x² + y² = 25/4
center (0, 0)
Radius = √(25/4) = 5/2
The radius has been divided by 2
