Answer:
h = √91 cm
Step-by-step explanation:
Apply pythagorean theorem, a² + b² ° c².
Where,
a = ½(6) = 3 cm
b = h
c = 10 cm
Plug in the values
3² + h² = 10²
9 + h² = 100
9 + h² - 9 = 100 - 9
h² = 91
h = √91 cm
Most of the information's are already given in the question. It is important to understand the language of the problem for solving the problem. Once the language is understood, then solving the problem is easy.
Let us assume the number of black jelly beans = x
Number of yellow jelly beans = y
Then from the question we can get to a equation.
3x - 7 = y
We also know from the question that
x + y = 225
x + 3x -7 = 225
4x = 225 + 7
4x = 232
x = 232/4
= 58
So Cassidy has 58 black jelly beans out of the total of 225 jelly beans
Answer:
x > 7
Step-by-step explanation:
- 7m + 4 < - 45 ( subtract 4 from both sides )
- 7m < - 49
Divide both sides by - 7 , reversing the symbol as a result of dividing by a negative quantity.
m > 7
Answer:
Step-by-step explanation:

If x = 0:
y > 2 × 0 - 5
y > - 5
If x = 3:
y > 2 × 1 - 5
y > 1
The coordenates (3, 1) and (0, -5) are not included.
Alternative A
I hope I helped you.
The missing value x=3 is obtained by the concept of slope in coordinate geometry.
<h3>What is slope?</h3>
Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.
Formula of slope =
(equation 1)
According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10
Given, rate of change=4 (here rate of change=slope)
Putting all coordinates in equation 1
Slope=
4=4/x-2
x-2=1
x=3
Therefore, the missing value x=3
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