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tatiyna
3 years ago
7

What is the equation of the line that passes through the point (-3, 4) and has a slope of 1/3?​

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

y = 1/3x + 5

Step-by-step explanation:

y - y1 = m(x - x1)

y - (4) = 1/3(x - (-3)

y - 4 = 1/3(x + 3)

y - 4 = 1/3x + 1

y = 1/3x + 1 + 4

y = 1/3x +5

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A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (−5,−3). What is the vertex of the
Licemer1 [7]

Answer:

(-5 , 6)

Step-by-step explanation:

f(x) = (x - (-5))² - 3     ... vertex (h , k) : (-5 , -3)     y = (x-h)² + k

g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6

vertex of g(x) is : (-5 , 6)

4 0
3 years ago
How do the prefixes in the metric system relate to the basic units?
WITCHER [35]
The basic unit of length in the metric system is the meter. Grams are used to measure weight and liter is used to measure liquid capacity
besides, it is used  so that you can express very large and very small numbers in a short unambiguous manner.
Example Instead of saying "three thousand million" meters
They classify the decimal place of the basic unit. ie, the meter is classified with milli (1/1000), centi(1/100), deci (1/10), Deca (10), Hecto (100), Kilo (1000).
4 0
4 years ago
Read 2 more answers
Is 23 prime or composite ?
dalvyx [7]
It is prime, it has no factors besides 1,23
3 0
3 years ago
Read 2 more answers
How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
Anna11 [10]

Answer:

Step-by-step explanation:

Remark

Always the easiest way to study these questions is to get a graph. The one below shows

Red: y = x^2

Blue: y= 3(x + 1)^2

You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.

The 3 is a little harder. It narrows the red mother graph. Which choice says that?

The choice is between b and d. Why. Because the blue graph is to the left of the red one.

You have to learn the meaning of compressed. A better word might be narrows.

Answer

B

7 0
2 years ago
(MUST SHOW WORKING)
myrzilka [38]
First of all, keep in mind :
m --> cm = times by 100
cm --> mm = times by 10
mm --> cm = divide by 10
cm --> m = divide by 100

so we know that a square has 4 equal sides and to find the area of a square we do base*height. now these two numbers on the base and height are the same so we're basically squaring them to get the area of 81. therefore, we do the reverse so square root 81 and we get the answer 9cm

now let's convert 9cm to mm
= 9*10 = 90
area in mm = 90mm

now let's convert 9cm to meters
= 9/100=0.09
area in m = 0.09m

and finally, we already worked out the area in cm
= 9cm

hope this helped :)


3 0
3 years ago
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