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yulyashka [42]
3 years ago
12

SOMEONE HELP ME PLEASE ILL GIVE BRAINLY

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

x^2-2x=3

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2.  Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

x^2-2x+1=3+1

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

(x-1)^2=4 (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:

y=(x-1)^2-4

From this it's apparent what the vertex is: (1, -4),

the axis of symmetry is x = 1, and

the y-intercept is found by setting the x's equal to 0 in the original  equation and solving for y. So the y-intercept is (0, -3).

Your choice for the correct answer is the very last one there.

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A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig
mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or  x = \frac{1440}{480}

or  x= 3

Hence x= 3 inch should be turned up on each side

3 0
3 years ago
All of the points in the graph are on the same line. Find the slope of the line.
Klio2033 [76]

Answer:

Step-by-step explanation:

take (1,3) and (9,7)

slope=(7-3)/(9-1)=4/8=1/2

3 0
3 years ago
Write the equation of the line that passes through (-1, 3) and is parallel to the line y = -x + 1.
ra1l [238]

Answer:

Step-by-step explanation:

y = -x + 1......same as y = -1x + 1.....in y = mx + b form, ur slope is in the m position....so the slope of this line is -1.

a parallel line will have the same slope.

(-1,3)...x = -1 and y = 3

slope(m) = -1

y = mx + b.....we have x,y, and m....now we need to find y int (b)

3 = -1(-1) + b

3 = 1 + b

3 - 1 = b

2 = b

so ur parallel equation is : y = -1x + 2...or just y = -x + 2

7 0
3 years ago
Which is the slope of the line that passes through the points (3,17) and (7,25)? a slope = 1/2 b slope = 2 c slope = −2 d slope
Ierofanga [76]
Slope is y2-y1/x2-x1
so, 25-17/7-3
8/4=2
The answer should be b
5 0
2 years ago
Who had a head start, and how many miles was the head start? Rita had a 28-mile head start. Roger had a 26-mile head start. Roge
serg [7]

Complete question is;

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below. Who had a head start, and how many miles was the head start?

A) Rita had a 28-mile head start.

B) Roger had a 26-mile head start.

C) Roger had a 25-mile head start.

D) Rita had a 22-mile head start.

Answer:

A) Rita had a 28-mile head start.

Step-by-step explanation:

Let's assume that Roger travelled a distance of 60 miles

And that;

Rita travelled a distance of 32 miles

We are told that they travelled between Phoenix and San Diego.

Thus, it means that if they have different distances but covered same section of the trip, it means the one with higher distance started before the section of the trip.

Thus, it means that Rita had a head start of Roger since she covered only 32 miles.

Thus;

Rita had a head start of; 60 - 32 = 28 miles

4 0
2 years ago
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