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3 years ago

What's the vertex for y=2x^2-12x+19

1 answer:

3 0

2(x+3)2+12(x+3)2+1Reorder the right side of the equation to match the vertex form of a parabola.y=2(x+3)2+1y=2(x+3)2+1Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk.a=2a=2h=−3h=-3k=1k=1Find the vertex (h,k)(h,k).(−3,1) ...................................

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Solve the following system of equations using the substitution method.

BartSMP [9]

Answer:

Step-by-step explanation:

First label the equations.

6x +3y= 18 -----(1)

y= -2x +5 -----(2)

subst. (2) into (1):

6x +3(-2x +5)= 18

6x +3(-2x) +3(5)= 18 (expand)

6x -6x +15= 18

15= 18 (simplify)

(reject)

There is no solution.

Further explanation:

If I rewrite the first equation into the form of y=mx+c, I would get

6x +3y=18

3y= 18 -6x (bring y term to one side)

y= 6- 2x (÷3 throughout)

y= -2x +6

Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.

3 0

3 years ago

Find the length of PR from the given figure ( step by step ).

Vaselesa [24]

Answer:

PR = 39 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² + PQ² = QR² , that is

PR² + 80² = 89²

PR² + 6400 = 7921 ( subtract 6400 from both sides )

PR² = 1521 ( take the square root of both sides )

PR = $\sqrt{1521}$ = 39

6 0

3 years ago

Read 2 more answers

HELP PLS Raise 5 to the 9th power, then subtract j from the result

jek_recluse [69]

Answer:

expression is ( $5^{9}$ ) - j

Step-by-step explanation:

5 is raised to the 9th power and then subtraced by j

you dont *really* need the () bc of pemdas but whatever

6 0

3 years ago

Read 2 more answers

The correct answer is a right?

svetoff [14.1K]

We can see that a and b are parallel, and c and e are parallel, so the correct option is E.

<h3>Which line must be parallel?</h3>

On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c, are the same angle.

Then, lines a and b must be parallel.

For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.

Finally, for line e, we can see that the known angle is on the first quadrant.

Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.

So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).

Then c and e are parallel.

Then A and C are true.

Thus, the correct option is E.

If you want to learn more about parallel lines:

brainly.com/question/24607467

#SPJ1

5 0

2 years ago

The squirrel could store 48 nuts per hour. Write the two rates (ratios) implied by this statement. How many nuts could the squir

marishachu [46]

The answer would be 960

6 0

3 years ago