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MrMuchimi
4 years ago
14

The number 2.31 * 10^x is 2,200 times greater than 1.05 * 10^y . Find the correct value of x and y.

Mathematics
2 answers:
raketka [301]4 years ago
8 0
You will set it up so that the two equations are equal to each other.

2,200 * (2.31 * 10^x) = 1.05 * 10^y

Then depending on what you have learned you either plug in each value and check, or solve it mathmatically.

The steps for solving mathmatically:

Distribute the 2,200.

5082 * 22000^x = 1.05 * 10^y

Next divide both sides by 1.05

4840 * 20952.4^x = 10^y

I don't know if that is to the power of y or times y?
7nadin3 [17]4 years ago
3 0

Answer:

I know the answer is D

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You answer would be Oy= 7x-1. I hope this helps!
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3 years ago
According to the National Weather Association, out of the last 100 years
Oliga [24]

Answer:C

Step-by-step explanation:Just did it on apex and got it correct ✋:)

8 0
3 years ago
suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh
sveta [45]
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.

How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

(2.6)² + (8.1)² = (8.6)²

Performing the necessary calculations, we have:

6.76 + 65.61 = 73.96
72.37 ≠ 73.96

Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
3 0
3 years ago
Which absolute value expression represents the distance between the points shown on the number line?
stich3 [128]

Answer:

We will take option B.

Step-by-step explanation:

Option A) |4 − 1| = 3 units

Option B) |4 − (−1)| = 5 units

Option C) |−4 + (−1)| = 5 units

Option D) |−4 − (−1)| = 3 units.

Now, from the number line and from the points given on the number line it is clear that the distance from one point to another is 5 units.

So. option B or Option C can be the right one.

Now, the right side point is on +4 point and the left side point is on -1 point.

So, the distance between those points will be calculated as 4 - (- 1) = 5.

Therefore, we will take option B. (Answer)

3 0
3 years ago
A, B and C are the vertices of a triangle.
DiKsa [7]

Answer:

see below

Step-by-step explanation:

To find the coordinates of the midpoints, add the x's and divide by 2 and add the y's and divide by 2.

The coordinates of D, the midpoint of AB, (1+3)/2 will be the x-coordinate and (4+0)/2 will be the y-coordinate.

D (2,2)

You could also see this on a graph, see image.

E, the midpoint of AC has the x-coordinate (1+-3)/2, which is -1 and y-coordinate (4+-2)/2 which is 1.

E is (-1,1)

Then we are able to calculate the slope of DE and BC.

To calculate slope, subtract the y's and put that on top of a fraction and subtract x's and put that on the bottom of a fraction. If the slopes are the same the segment are parallel.

Slope of DE:

(2-1)/(2--1)

= 1/3

Slope of BC:

(0--2)/(3--3)

=2/6

=1/3

The slopes of BC and DE are equal, so the segments are parallel.

(Alternatively, you could show that Triangle ABC and Triangle ADE are similar. Then find the segments parallel because corresponding angles are congruent.)

6 0
2 years ago
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