Answer:
J
Step-by-step explanation:
If you connect the dots, and extend the line outwards- you can see the values match to J. Also, if you plug the x values into the equation, you'd get the y values in j.
y = x + 1/2
6 1/2 = 6 + 1/2
etcetera
I hope this helped!
Answer : 4
Explanation : the second triangle is dilated by 2 .
Hello!
The equation for slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
We can first find the slope. Perpendicular lines have slopes which are negative reciprocals of each other. This means that the slope of the line you're looking for would be the negative reciprocal of -2/9. The negative reciprocal of -2/9 is 9/2. Therefore, m = 9/2.
Substitute this into the equation. y = 9/2x + b. Now substitute in the point given and solve for b.
y = -4, x = -2
-4 = 9/2 (-2) + b
-4 = -9 + b
b = 5
Therefore, the final equation is y = 9/2x + 5.
Hope this helps!
Answer:
243cm^3
Step-by-step explanation:
By Pythagoras' Theorem,
height of the prism ^2 + 5.4^2 = 7.8^2
height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)
volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)
This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
