If using the method of completing the square to solve the quadratics equation x^2+15x+34

Answer:

-13.62

explanation:

use a method called keep change change, meaning you keep the -4.3, change the minus to a plus, and change the positive to a negative, and then add.

Answer:

1

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

2
1)( x^2+6x+9)/18  /  (x+3)^2/36

    x^2+6x+9=(x+3)^2

   (x+3)^2/18  *  36/(x+3)^2=36/18=2

2) I'll factor the terms for you.

  (2x+3)(x-4)/2(3+2x)  *  2/(x-4)(x+4)

Do you see the common factors ?

3
start fraction, 1, divided by, 2, end fraction unit. As the volume of n cubes will be equal to volume of rectangular prism. Therefore, a rectangular prism will take 48 cubes with each side 1/2 units to fill the prism.

Hope this is helpful

Answer:

Yes

Step-by-step explanation:

one X value yields only one Y value.

Answer:

25. hope this helped you brother!

Hi! I can help you with joy! :)

Answer:

2 terms

Hope it helps!

[tex]\rm{Stargazing{\bold{WithJoy:D}[/tex]

Answer:

A minimum

Step-by-step explanation:

This graph is a parabola which is a U-ish V-ish graph. Since there is no negative in front of the x^2 it opens UPWARDS, so it has a bottom. Thats a lowest point which is a minimum.

Answer:

D) y = 4

Step-by-step explanation:

It is a horizontally straight line, meaning it is parallel to the x-axis.

Answer: x = -3

Step-by-step explanation:

42=-7(x - 3)

-7(x - 3) = 42

-7(x - 3)/-7 = 42/-7

x - 3 = -6

x - 3 + 3 = -6 + 3

x = -3

Answer:

width = 10

length = 5

Step-by-step explanation:

It works

Answer:

The answer is 5.5

Step-by-step explanation:

6 x 6 = 36

2x2x2 = 8

36 + 8 =    44

2 + 6 = 8

44/8 = 5.5

Therefore, the answer to this problem is 5.5

I hope I helped! ^-^

The matrix for the combined rotation transformation of 45° and dilation

of [tex]\sqrt{2}[/tex] gives the matrix for the transformation as follows;

[tex]Matrix \ for \ the \ rotation \ and \ dilation \ is;\left[\begin{array}{cc}1 &-1\\1&1\end{array}\right][/tex]

The angle by which the transformation rotates about the origin = 45°

The dilation following the rotation = A factor of √2

Required:

The matrix for the transformation

Solution:

The dilation matrix for a scale factor of [tex]\mathbf{\sqrt{2}}[/tex] is presented as follows;

[tex]\mathbf{\left[\begin{array}{cc}\sqrt{2} &0\\0&\sqrt{2} \end{array}\right]}[/tex]

[tex]The \ transformation \ for \ a \ rotation \ of \ 45^{\circ} \ is; \left[\begin{array}{cc}cos(45^{\circ})&-sin(45^{\circ})\\sin(45^{\circ})&cos(45^{\circ})\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}cos(45^{\circ})&-sin(45^{\circ})\\&\\sin(45^{\circ})&cos(45^{\circ})\end{array}\right] = \mathbf{\left[\begin{array}{cc}\dfrac{\sqrt{2} }{2} &-\dfrac{\sqrt{2} }{2} \\&\\ \dfrac{\sqrt{2} }{2} &\dfrac{\sqrt{2} }{2} \end{array}\right]}[/tex]

Which gives;

[tex]\left[\begin{array}{cc}\dfrac{\sqrt{2} }{2} &-\dfrac{\sqrt{2} }{2} \\&\\ \dfrac{\sqrt{2} }{2} &\dfrac{\sqrt{2} }{2} \end{array}\right] \times \left[\begin{array}{cc}\sqrt{2} &0\\0&\sqrt{2} \end{array}\right] = \left[\begin{array}{cc}\dfrac{\sqrt{2} \times \sqrt{2} }{2} &-\dfrac{\sqrt{2} \times \sqrt{2} }{2} \\&\\ \dfrac{\sqrt{2} \times \sqrt{2} }{2} &\dfrac{\sqrt{2} \times \sqrt{2} }{2} \end{array}\right] = \left[\begin{array}{cc}1 &-1\\1&1\end{array}\right][/tex]

The required matrix for the transformation is therefore;

Learn more about other forms of transformation matrices here:

https://brainly.com/question/10212935

Answer:

(0,-2)

Step-by-step explanation:

The y axis is the axis that is up and down

The y intercept or where it cuts the y axis is at the point -2

The x value is 0 and the y value is -2

The y intercept is (0,-2)

Answer:

it's 0,-2

Step-by-step explanation:

Look where it touches the y axis (going up and down)

Answer:

the real answer is 29.714

Kelly's answer is almost correct.

Answer:

(14, 23)

area = 400 square units

Step-by-step explanation:

Part (a)

To find the point where two equations meet (the point of intersection), equal the equations to each other, then solve for x.  Substitute the found value of x into one of the equations (it doesn't matter which) and then solve for y.  (x, y) is the point of intersection.

Equation 1:  y = 2x - 5

Equation 2:  y = 23

Equate the equations:

            y = y

⇒ 2x - 5 = 23

⇒       2x = 23 + 5

⇒       2x = 28

⇒          x = 28 ÷ 2

⇒          x = 14

Usually we'd substitute the found value of x into one of the equations and solve for y, however, as one of the equations is literally the y value, we don't need to do that.

So y = 23

Therefore, the point of intersection is (14, 23)

Part (b)

The vertices of the triangle will be the points where each pair of lines meet each other.  We have already determined that one pair of lines meets at point (14, 23).

y = 2x - 5 is a diagonal line, y = 23 is a horizontal line, and x = -6 is a vertical line.

So x = -6 and y = 23 meet at (-6, 23)

Now we just need to determine where y = 2x - 5  and  x = -6 meet.

Simply substitute x = -6 into y = 2x - 5:

⇒ y = 2(-6) - 5

⇒ y = -17

Therefore, the point of intersection is (-6, -17)

So we have three points of intersection which are the three vertices of the triangle:

(14, 23)  (-6, 23) (-6, -17)

As y = 23 is a horizontal line and x = -6 is a vertical line, their point of intersection (-6, 23) is a right angle.

Therefore the can determine that the height of the triangle is the difference between the y-coordinates of (-6, 23) and (-6, -17).

Similarly, the base (width) of the triangle is the difference between the x-coordinates of (-6, 23) and (14, 23).

Therefore, the height = 23 - -17 = 23 + 17 = 40

Therefore, the base = 14 - -6 = 14 + 6 = 20

Area of a triangle = 1/2 x base x height = 1/2 x 20 x 40 = 400 square units

see attached diagram

Answer:

20.3

Step-by-step explanation:

10+4+2π I think!!!

Answer:

12, 10, 8

Step-by-step explanation:

Substitute n = 1, n = 2 and n = 3 to find the 1st, 2nd and 3rd terms of the sequence:

[tex]a_n=12-2(n-1)[/tex]

[tex]\implies a_1=12-2(1-1)=12-2+2=12\\\\ \implies a_2=12-2(2-1)=12-4+2=10\\\\ \implies a_3=12-2(3-1)=12-6+2=8[/tex]

synonym: a word of opposite meaning

contrast:  to show noticeable differences

Answer:

16 years old

Step-by-step explanation:

let Gastas age be g

since Gasta is four years older

g=12+4

g=16 years old

Answer:

$2.16

Step-by-step explanation:

To find the tip amount, you multiply the price by the tip percentage.

14.40*0.15 = 2.16

So...

Tip = $2.16

Hope this helps!

[tex] \quad{\rule{300pt}{1.5pt}}\quad[/tex]

We are given that :

We know that :

[tex]\qquad\bull{\boxed {\mathfrak{Circumference = 2 \pi r }}}\bull[/tex]

Therefore,

[tex] \quad\dashrightarrow\quad \sf { 6.28 = 2 \pi r }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r = \dfrac{6.28}{2\pi} }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r = \dfrac{6.28\times 7}{22\times 2} }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r =\cancel{\dfrac{43.64}{44}} }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r = 0.9989 }[/tex]

As we know,

[tex] \quad\dashrightarrow\quad \sf { Diameter = 2\times radius}[/tex]

[tex] \quad\dashrightarrow\quad \sf { Diameter = 2\times 0.9989}[/tex]

[tex] \quad\dashrightarrow\quad \sf { Diameter = 1.98 }[/tex]

[tex] \quad\dashrightarrow\quad {\pmb{\sf {Diameter = 2 mm ( approx ) }}}[/tex]

[tex] \rule{300pt}{2pt}[/tex]

Check the picture below, notice, after 0 goes up then down back up at 4, and then it begins repeating after that, it begins to "periodically" be the same curve, that's the period.

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

We know that roughly 75% of the students take the bus, then, if we select a student at random.

The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:

p = (0.75)^9 = 0.075

Then we have:

P = 1 - 0.075 = 0.925

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

d. two and one fourth

Step-by-step explanation:

3 3/4 - 1 2/4 = 2 1/4

2 1/4

i hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask could you mark me as brainliest pls

im trying to rank up and i only need 1 more, if not its ok! ty and let me know if you need help with anything else!!

Answer:

a^2 + b^2 = c^2, where c is the hypotenus and a and b are the legs

Step-by-step explanation:

Answer:

Jane spent the most money, while Anne spent the least.

Step-by-step explanation

Anne spent less because Jane spent 0.888 in decimal form, whereas Anne spent 0.875 in decimal form.