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Okay here is what I did but I'm still having trouble with 13, 15, and 19.
11. a=6 and c=12
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b^2 = SQRT 108
12. a=18 and c=30
18^2 + b^2 = 30^2
324 + b^2 = 900
b^2 = 576
b = 24
13. a=7 and c=SQRT 85
7^2 + b^2 =
14. a=1 and c=5
1^2 + b^2 = 5^2
1 + b^2 = 25
b^2 = 24
b^2 = SQRT 24
15. a=1 and c=SQRT 2
16. a=10 and c=12
10^2 + b^2 = 12^2
100 + b^2 = 144
b^2 = 44
b^2 = SQRT 44
17. a=21 and c=35
21^2 + b^2 = 35^2
441 + b^2 = 1,225
b^2 = 784
b = 28
18. a=5 and c=18
5^2 + b^2 = 18^2
25 + b^2 = 324
b^2 = 299
b^2 = SQRT 299
19. a=6 and c=6(SQRT 2)
20. a=11 and c=12
11^2 + b^2 = 12^2
121 + b^2 = 144
b^2 = 23
b^2 = SQRT 23
I was having trouble for the last 10 questions of this lesson.
So far, this is what I got.
What is the value of b if...
11. a=6 and c=12
6^2 + b^2 = 12
6 + b^2 = 12
b^2 = 12 - 6
SQRT b^2 = SQRT 6
b = 6
12. a=18 and c=30
18^2+ b^2 = 30
18 + b^2 = 30
b^2 = 30 - 18
b^2 = 12
SQRT b^2 = SQRT 3.46
b = 3.46
13. a=7 and c=SQRT 85
14. a=1 and c=5
15. a=1 and c=SQRT 2
16. a=10 and c=12
17. a=21 and c=35
18. a=5 and c=18
19. a=6 and c=6(SQRT 2)
20. a=11 and c=12
I'm pretty sure I'm wrong, but if so can you please explain? The example they are showing me in the lesson is very confusing.
[Example 2:
What is the value of b, if c=SQRT 2 and a=1?
First, we plug the numbers into our theorem:
a2 + b2 = c2
12 + b2 = SQRT 22
Then we simplify:
1 + b2 = 2
Then we solve for b:
b2 = 2 - 1
b2 = 1
Take the square root of both sides:
SQRT b2 = SQRT 1
b = 1]
Yes I did, it pretty much help me with the questions.
Here are my new answers.
13. E
14. A
Thank you for the feedback and yes the questions came from CompuHigh.
Hello, I was just wondering about these two questions and making sure they were correct. If not, please explain.
13. I have a triangle with sides of 3, 4, and 5, and angles of 30o and 60o. Which of the following would be congruent to it? (You will need to use what you've learned about triangles and angle / side relations, as well as your knowledge of the rules of congruence to fill in the gaps and answer the question. Sketches may be helpful.) Give the reasoning or show your work to support your choice:
A. a triangle with angles of 30o, 60o, and 90o
B. an angle of 90o
C.a triangle with sides of 6, 8, and 10
D. a triangle with sides of 3 and 4
E. a triangle with a side measuring 4, next an angle of 90o, and next a side measuring 3
F. a triangle with a side measuring 3, next an angle of 60o, and next a side measuring 4
The answer I got for this problem is A.
.
14. I have a triangle with sides of 1 and a side of SQRT(2), with an angle of 45o and an angle of 90o. Which of the following would be congruent to it? (You will need to use what you've learned about triangles and angle / side relations, as well as your knowledge of the rules of congruence to fill in the gaps and answer the question. Sketches may be helpful.). Give the reasoning or show your work to support your choice
A. a triangle with a side of 1, then an angle of 90o, and a side of 1
B. a triangle with a side of 1, then an angle of 90o, then a side of SQRT(2)
C.a triangle with the angles 45o, 45o, 90o
D. a triangle with sides of 1 and 1
E. a triangle with a side of 1, then an angle of 45o, then a side of 1
F. a triangle with an angle of 90o, then a side of SQRT(2), then an angle of 45o
The answer I got for this problem is C.
My progress so far, am I'm doing this right?
10. y = (2/3)x - 1
y = -x + 4
2/3x 1 = -x + 4
2/3x + x = 4 + 1
5/3x = 5
5x = 15
X=3
Y=-x + 4
Y = -3 + 4
Y=1
11. x + y = 0
3x + y = -4
X + y (3x + y) = 0 (-4)
X + y 3x y = 0 + 4
-2x = 4
X= -2
X+ y = 0
-2 + y = 0
Y = 2
12. 4x + 3y = -15
y = x + 2
4x +3(x +2) = -15
4x + 3x + 6 = -15
7x = -21
X = -3
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Can someone help me guide me through this?
13. x + 2y = -4
4y = 3x + 12
14. y = 2x
x + y = 3
15. x = 3 - 3y
x + 3y = -6
16. y = -2x + 1
y = x - 5
17. y = (1/2)x - 3
y = (3/2)x 1
18. x + y = 2
4y = -4x + 8
19. Why are the substitution and elimination methods necessary when we already know how to solve systems of linear equations using the graphing method?
I totally understand now. Thanx.
Shouldn't it be like that?
2x - 3y = -2
2(0) - 3y = -2
-3y = -2
y = 2/3
(0, 2/3)
2x - 3(0) = -2
2x = -2
x = -1
(-1, 0)
4x + y = 8
4(0) + y = 8
y = 8
(0, 8)
4x + y = 8
4x + 0 = 8
4x = 8
x = 2
(2, 0)
these are just examples.
Cause I know I have to found the y = mx + b
How do I graph these?
1. y = (2/3)x - 1
y = -x + 4
2. x + y = 0
3x + y = -4
3. 4x + 3y = -15
y = x + 2
4. x + 2y = -4
4y = 3x + 12
5. y = 2x
x + y = 3
6. x = 3 - 3y
x + 3y = -6
7. y = -2x + 1
y = x - 5
8. y = (1/2)x - 3
y = (3/2)x - 1