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Oduvanchick [21]
3 years ago
14

What are 4 consecutive integers that add up to 178?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Your answer should be 43, 44, 45, and 46. 
Good luck!

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What is the greatest common factor (GCF) of 80 and 100?
marshall27 [118]

Answer:

20.

Step-by-step explanation:

We found the factors and prime factorization of 80 and 100. The biggest common factor number is the GCF number. So the greatest common factor 80 and 100 is 20

4 0
4 years ago
Read 2 more answers
Please help and show work!!
telo118 [61]

Let’s start by considering any 2 points falling on the line, the intercepts are the ones which come to my mind. Thus, the line 2x+3 will originally intersect the x- axis at (−32,0) and the y- axis at (0,3).

So, the basic insight is that on rotating the origin, the axes rotate. But the intercepts (their lengths) don’t change. The axis that is being intercepted will change, not the distance of intercepting points from the origin until our line is itself rotated. (Keep scribbling)

For the first case, we rotate the axes clockwise by a right angle. Now notice that the negative x-axis replaces the positive y-axis. So, our line now intercepts the negative x- axis at a distance 3 from the origin. Similarly, the negative y- axis replaces the negative x- axis. So, our line intersects the negative y- axis at distance 1.5 .

Therefore, the new intercepts are X(−3,0) and Y(0,−1.5). We can hence produce the new equation for our line in the slope- intercept form as

y=−x2−1.5 .

Similarly, you can imagine the other cases as axes rotation/replacement.

For 180∘, the equation would be y=2x−3 .

For 270∘, the equation would be y=−x2+1.5 .



7 0
3 years ago
The perimeter of a rectangular building is 1200 feet. The width of the building is 2 feet less than three times the length. What
juin [17]

Given:

The perimeter of a rectangular building is 1200 feet.

The width of the building is 2 feet less than three times the length.

To find:

Width of the building.

Solution:

Let length of the building be x.

Then, width = 3x-2

We know that,

Perimeter=2(length +width)

1200=2(x+3x-2)

1200=2(4x-2)

1200=8x-4

Add 4 on both sides

1204=8x

Divide both sides by 8.

\dfrac{1204}{8}=x

150.5=x

Now,

Width=3x-2

Width=3(150.5)-2

Width=451.5-2

Width=449.5

Therefore, the  width of the building is 449.5 feet.

6 0
3 years ago
A translation moves A(-3,2) to a'(0,0). find b', the image of b(5,4)) under the same translation
statuscvo [17]
The image of b, b', would be (8,2)

hope this helps!
7 0
3 years ago
Please please please help me with this. I can't remember how to work this problem out. If someone could explain to me how to do
RideAnS [48]
If the two triangles are congruent it means that their side lengths are equal, so we can assume that x = 3x - 8 and so 2x = 8 and x = 4. Hope that helps :)
6 0
4 years ago
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