Step-by-step explanation:
3)
2x + 3y = 12
Solve for y. Then you have y = mx + b, and m is the slope.
3y = -2x + 12
y = -2/3 x + 12
slope = -2/3
6x - 4y = 8
-4y = -6x + 8
y = -6/(-4) x + 8/(-4)
y = 3/2 x - 2
slope = 3/2
Since the slopes -2/3 and 3/2 are opposite reciprocals, the lines are perpendicular.
4)
3x - 4y = 12
-4y = -3x + 12
y = -3/(-4) x + 12/(-4)
y = 3/4 x - 3
slope = 3/4
4x + 3y = 15
3y = -4x + 15
y = -4/3 x + 5
slope = -4/3
Since the slopes 3/4 and -4/3 are opposite reciprocals, the lines are perpendicular.
The sequence is as follows:
(17 + 1)(1/2) = 9
(9 + 1)(2/2) = 10
(10 + 1)(3/2) = 16.5
(16.5 + 1)(4/2) = 35
(35 + 1)(5/2) = 90
Therefore, the missing value in the sequence is 10.
Answer:
x=34
Step-by-step explanation:
34*2=68
68+22=90
A complementary angle adds up to 90 degrees.
I added a screenshot with the complete question.
Answer:area of larger triangle = 560 in²
Explanation:We are given that the ratio between the side length of the larger triangle to the smaller one is 4:3
We can use this information to get the ratio between their areas.
To get the ratio between the areas, we will simply square the ratio between the side lengths as follows:
area of large triangle : area of small triangle
(4)² : (3)²
16 : 9
We are given that the area of the small triangle is 315 in², therefore, we can use cross multiplication to get the area of the large triangle as follows:
area of large triangle : area of small triangle
16 : 9
?? : 315
area of large triangle = (315*16) / 9
area of large triangle = 560 in²
Hope this helps :)
To find the product of 4x6.7, you would have to line them up so that it would be 4(6.7). Parentheses means to multiply, so you would do regular 4x7 for twenty eight, carry the two and multiply 4x6 to get 26 when 24+2 is done. It would be 268. Then, add the decimal as many times it is over from the right, which is one. 26.8 would be the final answer.