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brilliants [131]
3 years ago
8

What is the volume of the following rectangular prism? 4 units Volume = I units

Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

sorry i dont quite understand, were you given more information

Step-by-step explanation:

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Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
3 years ago
Find the distance between the points (–3, 2) and (0, 3).
Oksi-84 [34.3K]

Answer: \sqrt{10}\ units

Step-by-step explanation:

You need to use the following formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the points  (-3, 2) and (0, 3), you can identify that:

x_2=-3\\x_1=0\\\\y_2=2\\y_1=3

Then, the final step is to substitutes these coordinates into the formula.

So, the distance between the given points is:

d=\sqrt{(-3-0)^2+(2-3)^2}\\\\d=\sqrt{10}\ units

6 0
3 years ago
Jenny earned a 77 on her most recent test. Jenny’s score is no less than 5 points greater than Four-fifths of Terrance’s score.
lina2011 [118]

77 5 + 4/5t

Is the answer!

4 0
3 years ago
Read 2 more answers
Hello there hello hello
OleMash [197]

Answer:

<u>(-4,-7)</u>

Step-by-step explanation:

The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)

4 0
2 years ago
Read 2 more answers
Factorise the following : ​
Free_Kalibri [48]

Answer:

(3x+4b)(a-2y)

Step-by-step explanation:

(3ax-6xy)+(8by-4ab)

3x(a-2y) -4b(-2y+a)

(3x+4b) (a-2y)

4 0
3 years ago
Read 2 more answers
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