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True [87]
3 years ago
10

What exponential expression is equal to 2^-5 * 2^8?

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

go to m-a-t-h-w-a-y-

Step-by-step explanation:

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What is the perimeter of △ABC?
timofeeve [1]
<h3>Given</h3>
  • ΔABC
  • A(-3, -1), B(0, 3), C(1, 2)
<h3>Find</h3>
  • the length of the perimeter of ΔABC to the nearest tenth
<h3>Solution</h3>

The perimeter of a triangle is the sum of the lengths of its sides. The length of each side can be found using the Pythagorean theorem. Effectively, each pair of points is treated as the end-points of the hypotenuse of a right triangle with legs parallel to the x- and y-axes. The leg lengths are the differences betweeen the x- and y- coordinates of the points.

The difference of the x-coordinates of segment AB are 0-(-3) = 3. The y-coordinate difference is 3-(-1) = 4. So, the leg lengths of the right triangle whose hypotenuse is segment AB are 3 and 4. The Pythagorean theorem tells us

... AB² = 3² +4² = 9 +16 = 25

... AB = √25 = 5

You may recognize this as the 3-4-5 triangle often introduced as one of the first ones you play with when you learn the Pythagorean theorem.

LIkewise, segment AC has coordinate differences of ...

... C - A = (1, 2) -(-3, -1) = (4, 3)

These are the same leg lengths (in the other order) as for segment AB, so its length is also 5.

Segment BC has coordinate differences ...

... C - B = (1, 2) -(0, 3) = (1, -1)

The length of the line segment is figured as the root of the sum of squares, even though one of the coordinate differences is negative. The leg lengths of the right triangle used for finding the length of BC are the absolute value of these differences, or 1 and 1. Then the length BC is

... BC = √(1² +1²) = √2 ≈ 1.4

So the perimeter of the triangle ABC is

... AB + BC + AC = 5 + 1.4 + 5 = 11.4 . . . . perimeter of ∆ABC in units

_____

Please be aware that the advice to "round each step" is <em>bad advice,</em> in general. For real-world math problems, you only round the final result. You always carry at least enough precision in the numbers to ensure that there will not be any error in the final rounding.

In this problem, the only number that is not an integer is √2, so it doesn't really matter.

7 0
3 years ago
Can someone help me with these please?
saul85 [17]

Point-slope form: y-y1 = m(x-x1)

Standard form: ax + by = c

Slope-intercept form: y = mx+b


Start by finding the slope. We know it is negative since the line is decreasing. The slope is -4/3.


To create point-slope form, we need to get one point from the graph. Let's use (3,0).

y = -\frac{4}{3}(x-3)


To create slope-intercept form, we need the slope and the y-intercept. The y-intercept is the point where our equation crosses the y-axis. For this equation, it is 4.

y = -\frac{4}{3}x + 4


To get standard form, solve the equation in terms of C.


Point-slope form: y = -4/3(x-3)

Slope-intercept form: y = -4/3x + 4

Standard form: 4/3x + y = 4



7 0
3 years ago
suppose a stock is selling on a stock exchange for 4 3/4 dollars per share. if the price increases 1/2 dollar per share, what is
Luba_88 [7]
The price of the new stock would $5.25 because you have to add the $4.75 and $0.50 to find the new price
7 0
3 years ago
Sum is 12 and difference is 5
Scilla [17]

Answer: there is no answer involving real numbers

Step-by-step explanation:

5 0
3 years ago
The sum of three consecutive multiples of 7 is 357.find the smallest multiple.
Afina-wow [57]

Answer:

112, 119 and 126.

Step-by-step explanation:

Let the consecutive  multiples of 7 be 7n, 7(n+1) and 7(n+2)  where n is an integer,  then:-

7n + 7n + 7 + 7n + 14 = 357

21n + 21 = 357

21(n + 1) = 357

n = (357/21) - 1

n = 17 + 1 = 16.

So the numbers are 7*16 = 112, 7*17 = 119 and 7*18 = 126.


3 0
3 years ago
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