Which of the following would best be solved using completing the square?
5x^2+7x=12
X^2+4x-21=0
x^2=81
2x^3-12x^2+5x-30=0

Answers

Answer 1
Answer Second

Step by step exploration

x^2+4x-21=0
x^2+4x+4-25=0
(x+2)^2-25=0
(x+2)^2=25
X+2=+OR-5
x=-7 or x=3

Related Questions

9,923.33 X 28% / 100 =

Answers

27.785324 I think this is right

How many more lawns can Logan m
Logan and Brian both mow lawns.
Logan mows lawns at a constant speed. It takes Logan 4 hours to mow
8 lawns. PLZZ DO IT RIGHT NO LINKS PLZ

Answers

Answer: 1

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!

Answers

Answer:

A. The area is [tex]78.54m^2[/tex]

B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool

Step-by-step explanation:

Question A:

Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.

Since we know this, we can easily find the area of the circle using [tex]\pi r^2[/tex]

Area of the circle = [tex]\pi \times 5 \times 5 = 78.54m^2[/tex]

Question B

Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.

We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.

The area of the circle can be calculated using [tex]\pi r^2[/tex]

Area of circle = [tex]\pi \times 23 \times 23 = 1661.9ft^2[/tex]

A fly is standing on a boulder, which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled x xx meters, in newton meters, is given by τ ( x ) = 2 1000 sin ⁡ ( 2 π ( x + 0.2 ) 4 ) τ(x)= 1000 2 ​ sin( 4 2π(x+0.2) ​ )tau, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 1000, end fraction, sine, left parenthesis, start fraction, 2, pi, left parenthesis, x, plus, 0, point, 2, right parenthesis, divided by, 4, end fraction, right parenthesis. What is the midline of this function? Give an exact answer. y =

Answers

Question:

A fly is standing on a boulder which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled 'x' meters, in Newton meters is given by

[tex]\tau(x) = \dfrac{2}{1,000} \cdot sin \left(\dfrac{2 \cdot \pi \cdot (x + 0.2)}{4} \right )[/tex]

Answer:

y = 0

Step-by-step explanation:

The general form of the sine function is presented as follows;

y = A·sin[B·(x - C)] + D

Where;

A = The amplitude

C = The horizontal shift

D = The vertical shift above the generic midline of y = 0 = Constant

By comparison with the general equation for torque, we have that the constant D = 0, therefore, the vertical shift = 0, and the midline of the the given function = The midline of the generic sine function which is y = 0.

f(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0.3xf(n-1) where n is an integer and n>0. find f(7).
round your answer to the nearest hundredth

Answers

Answer:

m

Step-by-step explanation:

is 12/7 and 36/21 proportional?

Answers

I was just about to ask that same exact question
yes, 12 x 3 = 36 and 7 x 3 = 21

HELP 5TH GRADE ,]\\ MADEGVGUGU MATH

Answers

Answer:

i think base. i might be wrong.

Step-by-step explanation:

Answer:

Its period................

classify the pair of angles shown.​

Answers

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

V≈ [blank] V≈ [blank] in.3in.3 Enter your answer as the decimal number that correctly fills in the previous blank, rounded to the nearest hundredth, like this: 42.53

Answers

Answer:

3,799.4in³

Step-by-step explanation:

Find the diagram attached;

Volume of the cylinder = πr²h

From the given figure;

radius r = 11in

height = 10in

Substitute

V = π(11)²((10)

V = 3.14 * 121 * 10

V = 31.4*121

V = 3,799.4 cubic inches

Hence the volume of the cylinder is 3,799.4in³

Evaluate the expression if x = -5 and y = -2

Answers

Answer:

77

Step-by-step explanation:

3x^2-y^1

3(-5)^2-(-2)^1

3(25)-(-2)

75+2

77

If this helps please mark as brainliest

Which step would be used in the proof of the Pythagorean Theorem illustrated below?
a
a
b
o division of areas
o addition of areas
o squaring of areas
multiplication of areas

Answers

Answer:

addition of areas

Step-by-step explanation:

what is x? Options: 81, 57, 143, 66.

Answers

Answer:

x = 103

Step-by-step explanation:

In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).

Answer:103 degrees

Step-by-step explanation:

Straight line equals 180 degrees

180 degrees minus 77 degrees = 103 degrees

Whch stuction represents a proportional relationshp?
A) The cost of purchasing dog food for $1.20 per pound and
having to pay $6 n shipping
B) The cost of purchasing gift cards at $20 per card and
having to pay a $2 och nation fee per card
C) The cost of purchasing oranges of So yo per orange and
having a $1 off your total purchase coupon
D) None of the above represent a proportional relationshp

Answers

the answer would be d

A) The cost of purchasing dog food for $1.20 per pound and
having to pay $6 n shipping


The dimensions of a room are 25 ft by 20 ft, respectively. Find the length across the diagonal of the room to the nearest whole number.


A. 20ft
B.25 ft
C.32 ft
D.46 ft
Please help!

Answers

I think the answer is 32


A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its
faces?

Answers

Given:

The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

[tex]V=(side)^3[/tex]

[tex]V=a^3[/tex]

It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex]  cubic meter.

[tex]a^3=\dfrac{1}{8}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{1}{2}[/tex]

Now, the perimeter of each face of a cube is:

[tex]P=4a[/tex]

Where, a is the side length of the cube.

Putting [tex]a=\dfrac{1}{2}[/tex], we get

[tex]P=4\times \dfrac{1}{2}[/tex]

[tex]P=2[/tex]

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

Answer: It's 2 meters

im honestly too lazy to even attempt to do math anymore. can anyone help me with this question?​

Answers

Answer:

10÷20= 0.5

10×20=200

10+20=30

Dianne drew a triangle with coordinates (1, 3), (3, 2), and (4, 2). She drew an image of the triangle with
coordinates (-1, 3), (3, 2), and (-4,2). How did she make the image?

a. she translated the original figure 2 units down
b. she translated the original figure 6 units down
c. she reflected the original figure over the x-axis
d. she reflected the original figure over the y-axis

Answers

Answer:

c

Step-by-step explanation:

Find the area inside the 26m square and outside the circle. Use 3.14 for π. A circle is fully inside a square with sides of length 26 meters, such that the circle touches the center of each side of the square.

Answers

Answer:

A(b) = 145,34 m²

Step-by-step explanation:

Area of the square of side l = 26 m    A(s) = l²      A(s) = (26)²

A(s) = 676 m²

Areaof the circle of radius r = 13  A(c) = π*(r)²  A(c) = π*(13)²

A(c) = 169*π  m²

Then the area outside the circle and inside the square  A(b), is the difference between the area of the square minus the area of the circle, that is:

A(b) = A(s)  -  A(c)  =  676  - 169*π    m²

A(b) = 676  -  530,66  m²

A(b) = 145,34 m²

Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?

Answers

Answer:

One investor should make ABOUT $28714.29 while the other will make about $38285.71

Step-by-step explanation:

67000 x 3/7 =28714.285...

67000 x 4/7 = 38285.714....

Peanuts and pecans in bulk bins at the grocery store cost $0.65 per ounce. How much would you spend if you bought 1 pound 8 ounces of peanuts and 2 pounds of pecans?

$36.40
$3.64
$11.70
$31.20

Answers

Answer:$36.40

Step-by-step explanation

16 ounces in 1 pound

0.65 x 16 = $10.40

Peanuts

0.65 x 8 = $5.2 (you do this to get the extra 8 ounces)

$10.40 + $5.2 = $15.6

Pecans

$10.40 + $10.40 = 20.8

Total

$15.6 + 20.8 = $36.40

PLEASE HELP

WILL GIVE BRAINLIEST

Answers

Answer:

1 1/3 or 4/3

Step-by-step explanation:

7 10/12 - 6 6/12 = 1 4/12

simplify.

1 1/3

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

First we need to make the fractions normal. We multiply 7 times 6 to get 42, then add 42 to 5 to get 47/6. Then we multiply 6 times 2 to get 12, then add 1 to that to get 13/2. Then we multiply both the 13 and the 2 by 3 to get 39/6. Then subtract 39 from 47, this gives us 8/6, we can then simplify this to get 4/3 or 1 and 1/3.

These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?

Answers

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]

But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].

Therefore, this option is not the answer.

Option (2),

[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]

[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]

[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]

But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],

Therefore, this option is not the option.

Option (3),

[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]

Therefore, this option is the answer.

Option (4),

[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]

[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]

But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]

Therefore, this is not the correct option.

what is the scale factor of 4 and 6 reduced by 1/2?

Answers

Answer:

n

Step-by-step explanation:

The angles of o triangle are in
the ratio2: 3: 5
Find all the angle in grade

Answers

Answer:

2x + 3x + 5x = 180

10x = 180

x = 18

2x = 36, 3x = 54, 5x = 90

They add up to 180 (definition of sum of angles of a triangle.)

Step-by-step explanation:

#g o o g l e

If bob had 4 apples and tim had 6 oranges but john had 4 times more oranges then tim but stephaine had 6 times more apples then bob and jimmy had 4 bannanas and sid had to the power of 6 of what jimmy had

how many fruits would everyone have?

Answers

Answer:

bob=4

tim=6

john=4x6=24

stephaine:24

jimmy=4

sid=1296

Step-by-step explanation:

so final answer 1358

Can someone tell me the answer to this?

Answers

Answer:

option 1 n<4

Step-by-step explanation:

Answer:

the packers fan is right, it's option 1: n<4

Step-by-step explanation:

Geometry Find the area of the Triangle

Answers

Answer:

A = 148.92 sq in

Step-by-step explanation:

A = bh/2

A = 20.4(14.6) ÷ 2

A = 297.84 ÷ 2

A = 148.92 sq in

A is the correct answer

At Smith's Bike Rentals, it costs $33 to rent a bike for 9 hours.
How many dollars does it cost per hour of bike use?

Answers

Answer:

$3.66

Step-by-step explanation:

I divided 33 by 9

Can somebody help me out my grade are bad

Answers

Just copy the triangle but on the opposite side I think. Take the coordinates and flip it onto the other side until its a perfect match
The answer is 2,6, 3,1 and 7,4.

If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y

Answers

C trust dude it’s c trust me trust me
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