Answer: 3a + 2c = 73 (last night)
2a + 5c = 89 (last week)
Step-by-step explanation:
11) A rectangle = 11.5 x 9.5 = 109.25
A triangle = 8x 9.5 = 38
Total area = 109.25 + 38 = 147.25
The way we would answer the question would be to express it as
100-9(n-1) with n being the nth term of the pattern.
Why is this? We know we subtract 9 each time and START from 100.
Remember though that 100 is the first term in the sequence. So, we would have (n-1)*9 to subtract 0 from our 1st term and 9 from our second term.
Also, we have 9*(n-1) because we are just subtracting multiples of 9. It is always going to subtract by 9.
If you needed the answer here it is...
The answer to the problem would be
100-9(13-1)
= 100-9(12)
= 100-108
= -8
Answer:
27.2 ft
Step-by-step explanation:
Let's set up a ratio that represents the problem:
Object's Height (ft) : Shadow (ft)
Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.
34 : 30
Find the unit rate:
The unit rate is when one number in a ratio is 1.
Let's make the Shadow equal to one by dividing by 30 on both sides.
Object's Height (ft) : Shadow (ft)
34 : 30
/30 /30
1.13 : 1
Now, let's multiply by 24 on both sides to find the height of the tree.
Multiply:
Object's Height (ft) : Shadow (ft)
1.13 : 1
x24 x24
27.2 : 24
Therefore, the tree is 27.2 feet tall.
Answer:
Answer: y=2x+13.
Step-by-step explanation:
Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).
The equation of the line in the slope-intercept form is y=5/2−x/2.
The slope of the perpendicular line is negative inverse: m=2.
So, the equation of the perpendicular line is y=2x+a.
To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.
Thus, a=13.
Therefore, the equation of the line is y=2x+13.
Answer: y=2x+13.
