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Lesechka [4]
3 years ago
15

15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)

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A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). write a function in standard form
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Y=3x(x-4)
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Write the equation in standard form of the line that has x-intercept 7 and y-intercept 4.
Rina8888 [55]
Linear: y = 4/-7 x + 4

Standard: (4/7)x + y = 4
4 0
3 years ago
Find the mean of this data set: {– 78, -12, 3, – 44}
blagie [28]

Answer:

<u>Answer</u><u>:</u><u> </u><u>A</u><u>.</u><u> </u><u>-</u><u>3</u><u>2</u><u>.</u><u>7</u><u>5</u>

\dashrightarrow{ \tt{mean =  \frac{ \sum f(n)}{n} }} \\

• f(n) are the values of the set

• n is the number of items

\dashrightarrow \: { \tt{mean =  \frac{ - 78 + ( - 12) + 3 + ( - 44)}{4} }} \\  \\  \dashrightarrow \: { \tt{ \frac{ - 131}{4} }} \\  \\  \dashrightarrow \: { \boxed{ \tt{mean =  - 32.75}}}

5 0
3 years ago
In a jewelry store, rings make up 5/9 of the inventory. Earrings make up 4/15 of the inventory. How many times greater is the ri
monitta
Make the fractions have common denominators.

rings 5 / 9 * 5/5 = 25/45
earrings 5/15 * 3/3 = 15/45

So, now we can compare 25 to 15.  25 is 5/3 bigger than 15.
or the ring inventory is 1.666666666... times greater than the earring inventory.



8 0
3 years ago
PLEASE HELP AND ANSWER!!!!! Which of the following reveals the minimum value for the equation 2x2 + 12x − 14 = 0?
NARA [144]

Answer:

The correct option is 3.

Step-by-step explanation:

The given equation is

2x^2+12x-14=0

It can be written as

(2x^2+12x)-14=0

Taking out the common factor form the parenthesis.

2(x^2+6x)-14=0

If an expression is defined as x^2+bx then we add (\frac{b}{2})^2 to make it perfect square.

In the above equation b=6.

Add and subtract 3^2 in the parenthesis.

2(x^2+6x+3^2-3^2)-14=0

2(x^2+6x+3^2)-2(3^2)-14=0

2(x+3)^2-18-14=0

2(x+3)^2-32=0             .... (1)

Add 32 on both sides.

2(x+3)^2=32

The vertex from of a parabola is

p(x)=a(x-h)^2+k        .... (2)

If a>0, then k is minimum value at x=h.

From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.

The equation 2(x+3)^2=32 reveals the minimum value for the given equation.

Therefore the correct option is 3.

5 0
3 years ago
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