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inessss [21]
3 years ago
7

Find the equation of the line that satisfies the given conditions the y intercept is 3 and the x intercept is -1

Mathematics
1 answer:
Liula [17]3 years ago
7 0
The y intercept is when x=0, the x intercept is when y=0
so you two points are: (0, 3) and (-1, 0)
the slope is: m=(0-3)/(-1-0)=3, you y intercept(b) is 3
y=mx+b=> y=3x+3
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A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket.
nalin [4]
A. 1/4; 2/4=1/2; 1/4
b. 1
c. 3/4. There are 4 blocks and 3 are not red
d. 1/4+3/4= 4/4=1


8 0
2 years ago
Which description does NOT guarantee that a quadrilateral is a square?
Ivahew [28]
Let's go through the choices one by one

------------------------------------------
Choice A

If all sides are congruent, then this figure is a rhombus (by definition). If all angles are congruent, then we have a rectangle. Combine the properties of a rhombus with the properties of a rectangle and we have a square.

In terms of "algebra", you can think
rhombus+rectangle = square

Or you can draw out a venn diagram. One circle represents the set of all rhombuses; another circle represents the set of all rectangles. The overlapping region is the set of all squares. The overlapping region is inside both circles at the same time.

So we can rule out choice A. This guarantees we have a square when we want something that isn't a guarantee.

------------------------------------------
Choice B

If we had a parallelogram with perpendicular diagonals, then we can prove that we have a rhombus (all four sides congruent). However, we don't know anything about the four angles of this parallelogram. Are they congruent? We don't know. So we can't prove this figure is a rectangle. The best we can say is that it's a rhombus. It may or may not be a rectangle. There isn't enough info about the rectangle & square part.

This is why choice B is the answer. We have some info, but not enough to be guaranteed everytime.

------------------------------------------
Choice C

This is a repeat of choice A. Having "all right angles" is the same as saying "all angles congruent". This is because "right angle" is the same as saying "90 degrees". So we can rule out choice C for identical reasons as we did with choice A.

------------------------------------------
Choice D

As mentioned before in choice A, if we know that a quadrilateral is a rectangle and a rhombus at the same time, then the figure is also a square. This is always true, so we are guaranteed to have a square. We can cross choice D off the list.

------------------------------------------

Once again, the final answer is choice B


3 0
3 years ago
Can someone explain how to solve this?
Dmitrij [34]

9514 1404 393

Answer:

  (2/3)(e^t +1)^(3/2)

Step-by-step explanation:

Use the substitution ...

  u = e^t +1

Then du = e^t and you are finding the integral of ...

  ∫u^(1/2)·du

which you know by the power rule is ...

  (2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)

4 0
2 years ago
Solve the proportion ? : 32 = 9 : 4 for the unknown. <br>a72<br>b48<br>c36<br>d18
zzz [600]

Answer:

x : 32 = 9 : 4

4x = 288

x = 72

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If you were to 'unroll' the cylinder you would find the side is actually ALWAYS a rectangle when flattened out?
Yuki888 [10]

Answer:

Yes

Step-by-step explanation:

It's harder to explain but think logically about it or get or get a piece of paper. Then roll it up in as many different ways that u can think of into a cylinder. If u unroll it then I I'll always be a rectangle  

3 0
3 years ago
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