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mixer [17]
3 years ago
12

Put the quadratic

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Answer:

y = 3x² + 5x + 1

x = -b±√b²-4ac/2a

a = 3, b = 5 c = 1

x = -5±√5²-4(3)(1)/2(3)

x = -5±√25-12/6

x = -5±√13/6

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What is the solution for the system of equations?
Arte-miy333 [17]
The solution is at what point the two lines intersect.
Plug y into the other equation to get: 5x-4(5-3x)=-3
Multiply it out: 5x+12x-20=-3
Combine like terms and add 20 to both sides: 17x=17
Divide both sides by 17: x=1
Now plug the x value back into any equation to get the y value.
So you get y=5-3(1) --> y=2
The solution is (1, 2)
8 0
3 years ago
Name the line of reflection used to map each preimage to its image
rewona [7]

Answer:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

   Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' →  → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

    Coordinates of G' → (-2, 5)

    Midpoint joining the segment GG' →  → (0, 5)

    Therefore, line of reflection → x = 0

14). Line of reflection passing through (0, 0) and slope = -1

    y = -x

Step-by-step explanation:

3 0
2 years ago
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the g
Fiesta28 [93]
Parallel lines have equal slopes. so the equation y=-4x+5.has slope of -4 because this is in slope intercept form y=mx+b where m is slope.

so we know a parallel line will have slope -4

we have a point on the line so we will use point slope formula to solve.
y-y1=m(x-x1) where (x1,y1) is point on line
so we get
y-4=-4(x-0) to put in slope intercept form we solve for y
y-4=-4x
y=-4x+4 is an equation of a line parallel to y=-4+5 passing through (0,4)
7 0
3 years ago
What is 3/8 times -1/3
larisa [96]
3 x -1 = -3
8 x 3 = 24
-3/24 = -1/8
-1/8, Hope this helps!
7 0
3 years ago
Read 2 more answers
The circumference of a circle is 125.6 millimeters. What is the circle's radius?
Rina8888 [55]

Answer:

20 millimeters.

Step-by-step explanation:

To find the radius of a circle with circumference, you must divide the circumference by pi (3.14).

After dividing the circumference by pi, you now have the diameter of the circle.

Secondly, to get the radius, divide the quotient (the diameter) by 2.

The quotient is the radius of the circle.

----------------------------------------------------------------------------------------------------------------

Now, I will repeat these steps using the circumference of 125.6 millimeters.

125.6 ÷ 3.14 = 40.

40 ÷ 2 = 20.

Therefore, 20 millimeters is the radius of this circle.

3 0
3 years ago
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