4. D
12/15 isn't the same as 30/40. 12/15=0.8, while 30/40=0.75. All the other options are equal.
5. C
Of course, you could figure this out by plugging in all the answers, and seeing which ones make the two sides equal, however, cross multiplying (multiplying the top of one fraction with the bottom of the other fraction) would be much faster. This will be your equation: 8*46=18*n. After combining like terms and dividing, you should find that n=20.
6. A
This problem is basically the same as #5. Cross multiplying so the equation you get will be 0.6*1.2=1.6*w. W should be 0.45.
Hope this helps!!
This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
Answer:
PT = 16.3 units
Step-by-step explanation:
From the picture attached,
From ΔPQR and ΔPST,
QR ║ST [Given]
PQ is a transversal line.
Therefore, ∠PST ≅ ∠PQR [Corresponding angles]
∠P ≅ ∠P [Common angle]
ΔPQR ~ ΔPST [By AA property of similarity of two triangles]
Therefore, by the property of similarity, corresponding sides of the similar triangles will be proportional.
PT = 
PT = 16.3 units
Answer: rectangular prism and a pyramid I think
Step-by-step explanation:
First convert them to vertex form
first one is y = 2(x + 0.75)^2 - 6.125
2nd is y = -2(x - 0.75)^2 - 3.875
the -2 will cause a reflection of the first equation in the x axis . then a translation down of 6.125 + 3.875 = 10 units , followed by
a translation of -0.75-0.75 = -1.5 units to the right = 1.5
