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AveGali [126]
2 years ago
13

6th grade math i dont understand!!!!!!

Mathematics
1 answer:
Tema [17]2 years ago
5 0
Umm im older and I dont even understand that
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(c) The line with equation y = 2x +k is a tangent to curve y = 3x² +4. Find the value of k.​
statuscvo [17]

Answer:

k = 11/3

Step-by-step explanation:

If the line is tangent to the curve, then Δ = 0.

______________

Remembering:

Δ>0 two different points of intersection x' \neqx''

Δ=0 one point of intersection x' = x''

Δ<0 two different points of intersection in the complex plan x' and -x'

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As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:

2x + k = 3x² + 4

0 = 3x² - 2x + (4 - k)

Now we can use the Δ=0 (Δ= b² - 4ac)

Δ = 0 = (-2)² - 4.3.(4-k)

0 = 4 - 48 + 12k

12k = 44

k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3

k = 11/3

6 0
2 years ago
The area of a square postcard is 25 square inches. How long is each side postcard?​
ivolga24 [154]

Answer:

5 inches

Step-by-step explanation:

To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).

7 0
2 years ago
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Please help 7x1990x19x43
RideAnS [48]

Answer:

11380810

Step-by-step explanation:

hope this helps

8 0
2 years ago
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Find the 19th term of the arithmetic sequence whose common difference is =d5 and whose first term is =a12.
emmasim [6.3K]
An=a1+d(n-1)
a1=first term
d=common difference
n=which term

common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41

19th term is 41
4 0
3 years ago
In a line graph how does the slope of a line segment relate to the rate of change?​
Tresset [83]

Step-by-step explanation:

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line.

If coordinates of any two points of a line are given then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

7 0
3 years ago
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