Answer:
B. 1
Step-by-step explanation:
The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.
Here, we have (6, -12) and (15, -3).
The difference in the y-coordinates is:
15 - 6 = 9
The difference in the x-coordinates is:
-3 - (-12) = -3 + 12 = 9
Divide 9 by 9:
9/9 = 1
The slope is thus 1, and the answer is B.
Answer:
<h2>b) 50in, 48in, 14in</h2>
Step-by-step explanation:
If <em>a ≤ b < c</em><em> </em>form of a right side, then <em>a² + b² = c²</em>
a) 3ft, 6ft, 5ft
3² + 5² = 6²
9 + 25 = 36
34 = 36 <em>FALSE</em>
b) 50in, 48in, 14in
14² + 48² = 50²
196 + 2304 = 2500
2500 = 2500 <em>CORRECT :)</em>
c) 53m, 48m, 24m
24² + 48² = 53²
576 + 2304 = 2809
2880 = 2809 <em>FALSE</em>
d) 8cm, 17cm, 14cm
8² + 14² = 17²
64 + 196 = 289
260 = 289 <em>FALSE</em>
Answer:
y=2x-7
Step-by-step explanation:
The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.
Firstly, let's assess what know and what we don't:
Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.
All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.
y=mx+b
-3=2(2)+b
-3=4+b
-3-4=b
-7=b
Now that we have b, we can write the equation:
y=2x-7
Answer:
24 kilometers
Step-by-step explanation:
It's a simple calculation using cross multiplication:
We have the following ratios:
That's 2.4 million of cm... or 24 000 meters... or 24 kilometers.
That's equivalent to 300,000 cups placed side by side. That's a long way!
Answer:
The probability of getting exactly 6 girls in 8 births is 0.1093
Step-by-step explanation:
Given : 6 girls in 8 births.
To find : The probability of getting exactly 6 girls in 8 births.
Solution :
The probability of getting girl is 
The probability of getting 6 girl is 
Since we have 6 girls,
We also need to find the probability of getting 2 boys, which is
There are 
ways to get 6 girls in 8 births
i.e, 
There are 28 ways to get 6 girls in 8 births.
The probability of getting exactly 6 girls in 8 births.
Therefore, The probability of getting exactly 6 girls in 8 births is 0.1093
