The triangle ABC is similar to triangle LMP. The order here is very important. The letters correspond to one another
A corresponds to L (first letters of each sequence)
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)
In a similar fashion, the segments also correspond to one another.
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)
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AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.
Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.
If we move 4 units down from point B, we land on (7,-10). That isn't listed as an answer choice. Let's try moving 4 units up from point B. We land on (7,-2). This is an answer choice
So the final answer is choice C) (7,-2)
9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
Answer:
B=-5
Step-by-step explanation:
Slope=rise/run
The line passes in
P1(-1,3)
and
P2(0,-2)
So slope=(3-(-2))/(-1-0)=5/-1=-5
Answer:
224
Step-by-step explanation:
To make this easier, multiply all the measurements by 3, so you have 1 inch cubes with a box of 8 in. width, 4 in. length, and 7 in. height. This makes it a lot easier to understand as it is finding the volume of the cube, which is width x length x height. This is 8 * 4 * 7 which is 224. - Madison P.
Answer:
Sum of the solutions of 
is -9.
Product of the solutions of 
is 
Step-by-step explanation:
1.
Given:
The expression whose sum of the solution is required is given as:
For a quadratic equation of the form 
the sum of the solutions is given as:
Sum = 
Here, 
Therefore, the sum of the solutions = 
2.
Rewriting the above equation in a standard quadratic equation, we get:
For a quadratic equation of the form the product of the solutions is given as:
Product = 
Here, 
Therefore, the product of the solutions = 
