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pishuonlain [190]
2 years ago
12

What is the slope of the line passing through the points (7, 10) and (5, 16) ? Thank you

Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:

m=-3

Step-by-step explanation:

m=y2-y1/x2-x1

m=16-10/5-7

m=6/-2

m=-3

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HELP
ExtremeBDS [4]

Answer:B,C,A,B

Step-by-step explanation

4 0
3 years ago
Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336).. (Answer).

7 0
3 years ago
The point (p,q) is on the graph of values from a ratio table. What is another point on the graph?
Anestetic [448]

In the previous activities, we constructed a number of tables.  Once we knew the first numbers in the table, we were often able to predict what the next numbers would be.  Whenever we can predict numbers in one row of a table by multiplying numbers in another row of a table by a given number, we call the relationship between the numbers a ratio.  There are ratios in which both items have the same units (they are often called proper ratios).  For example, when we compared the diameter of a circle to its circumference, both measured in centimeters, we were using a same-units ratio.  Miles per gallon is a good example of a different-units ratio.  If we did not specifically state that we were comparing miles to gallons, there would be no way to know what was being compared!

When both quantities in a ratio have the same units, it is not necessary to state the unit.  For instance, let's compare the quantity of chocolate chips used when Mary and Quinn bake cookies.  If Mary used 6 ounces and Quinn used 9 ounces, the ratio of Mary's usage to Quinn's would be 2 to 3 (note that the order of the numbers must correspond to the verbal order of the items they represent).  How do we get this?       One way would be to build a table where the second row was always one and a half times as much as the first row.  This is the method we used in the first two lessons.  Another way is to express the items being compared as a fraction complete with units:

<span>6 ounces
9 ounces</span>Notice that both numerator and denominator have the same units and thus we can "cancel out" the units.  Notice also that both numerator and denominator have values that are divisible by three.  When expressing ratios, we generally treat them like fractions and "reduce" or simplify them to the smallest numbers possible (fraction and colon forms use two numbers, as a 3:1 ratio, whereas the decimal fraction form uses a single number—for example, 3.0—that is implicitly compared to the whole number 1).<span>
</span>
8 0
3 years ago
Read 2 more answers
(-6, -4); y = 1/3x +1
Sedbober [7]

Answer:

y=3x+14

Step-by-step explanation:

Well you already know that the slope is 3

parallel lines always have the same slope.

so then you plug in the point (-6,-4) into y=3x+b

-6 is x and -4 is y

-4=3(-6)+b

-4=-18+b

14=b

so your equation is y=3x+14

<em>Hope this helps :D</em>

5 0
3 years ago
1 inch equals 2.54 cm. The dimensions of a table made in Europe are 85 cm wide by 120 cm long. What is the width of the table in
diamong [38]
Width = 33.465

Length = 47.2441

Area = 1581.02381
6 0
3 years ago
Read 2 more answers
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