Lets call those two unknown numbers a, b and write the info in the problem as equations:
a*b = 30
a + b = 40
lets solve for a in the second equation and substitute in the first:
<span>a + b = 40
</span>a = 40 - b
therefore:
<span>a*b = 30
</span>(40 - b)b = 30
40b - b^2 = 30
b^2 - 40b + 30 = 0
if we apply the general quadratic equation to solve we have:
b = (40 +- √(1600 - 120))/2
b = (40 +- √(1480<span>))/2
</span>b = (40 +- 38.47)/2
There are two solutions:
<span>b1 = (40 + 38.47)/2
</span><span>b1 = 39.24
b2 = (40 - 38.47)/2
</span>b2 = 0.765
lets use the second solution <span>b2 = 0.765, and substitute in the first equation to find a:
</span><span>a*b = 30
</span>a*0.765 = 30
a = 30/0.765
a = 39.216
so the numbers are 39.216 and 0.765
Answers:
- Translate
- Reflect
- Rotate
- Dilate
This can be stated in any order
============================================
Explanation:
In geometry, a translation is where you slide a point or figure some distance left, right, up or down.
A reflection will mirror a point over a line, or you could mirror a point over another point.
A rotation turns a point around a fixed center point.
A dilation scales the figure to be larger or smaller.
The first three transformations mentioned (translation, reflection, rotation) are known as rigid transformations. They keep the figure the same size and shape. A dilation will keep the same shape, but the size will be different, so the before and after figures are not congruent when you apply a dilation.
First we find the scale factor. It went from a 11 cm length to 16.5 cm length....so we have to find out what to multiply 11 by to get 16.5.
11x = 16.5
x = 16.5 / 11
x = 1.5
and since we multiplied 11 * 1.5 = 16.5, then we have a scale factor of 1.5...so we now multiply the height of 4 by 1.5.
So the new height is gonna be : 4 * 1.5 = 6 cm <==
Answer:
(d) 60 kobo
Step-by-step explanation:
36 divided by 12 = 3
3 x 20 = 60
Hope this helps!
Look carefully at the point where the 2 lines intersect. From that point, look straight down to the x-axis; you'll see that the x-value there is 50. Similarly,
starting at the intersection, look straight left to the y-axis; the y-value there is 11.
Thus, the coordinates of the intersection (i. e., the solution) are found in (50,11).
