Solve 5x2 = 180 algebraically.

Answers

Answer 1

Answer:

x = ±6

Step-by-step explanation:

5x^2 = 180

Divide each side by 5

5x^2/ 5 = 180/5

x^2 = 36

Take the square root of each side

sqrt(x^2) = ± sqrt(36)

x = ±6

Answer 2

Answer: x = 6 or x = -6

Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

When we take the square root of both sides of an equation,

we must always make sure to use plus or minus!

So x = ±5 and you can write your answer as the solution set {6, -6}.


Related Questions

Point G is located at (6, 2) on the coordinate plane. Point G is reflected over the y -axis to create point G^ prime . What ordered pair describes the location of G?

Answers

Answer:

The ordered pair that best describes the location of G' is (-6,2).

Step-by-step explanation:

Reflecting a point over the y-axis:

When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:

(x,y) -> (-x,y).

Point G is located at (6, 2)

When reflected over the y-axis:

G'(-6,2).

The ordered pair that best describes the location of G' is (-6,2).

2) Simplify: 4/3+3/5+-3/5+-11/3​

Answers

Answer:

[tex]\frac{4}{3}+\frac{3}{5}+-\frac{3}{5}+-\frac{11}{3}[/tex][tex]=\frac{4}{3}-\frac{11}{3}[/tex][tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex][tex]=\frac{4-11}{3}[/tex][tex]\:4-11=-7[/tex][tex]=\frac{-7}{3}[/tex][tex]\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-7}{3}[/tex][tex]=-\frac{7}{3}[/tex]---------------------[tex]\boxed{\boxed{\underline{\textsf{\textbf{hope it helps}}}}}[/tex][tex]\boxed{\boxed{\underline{\textsf{\textbf{have a great day!}}}}}[/tex]

Can u guys hurry up pleasee The manager of a local appliance store wants to conduct a customer satisfaction survey. Which population should the manager survey? A.Sales people in the store. B.People in charge of repairs at the store. C.People who bought a major appliance from the store. D.Prospective buyers who visit the store.

Answers

Answer:

C. People who bought a major appliance from the store.

Step-by-step explanation:

A customer satisfaction survey is a market survey carried out to analyze how satisfied users or customers are in using or consuming a particular product or service. Basically, it has to be carried out on the customers themselves. By costumers, we mean those that have bought and/or used the service or product.

For the local appliance store, the manager should survey people that have bought at least one major appliance from the store. Those are the right people that should make up the population to be surveyed. This is because;

i. They are the consumers of the product.

ii. They have bought and definitely used the product.

iii. They have some usable and useful experiences since they have handled the product.

Please help me find the answers
For the mean median mode range mm max q1

Answers

Everything has been explained in there

please help I will give brainlist​

Answers

Answer:

Your answer will be B

Step-by-step explanation:

Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8

You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...

I hope this helped if not tell me please....❤

Answer: Option B (y=8x+14)

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14

y=8(0)+14

y=14

y=8x+14

y=8(1)+14

y=8+14

y=22

y=8x+14

y=8(2)+14

y=16+14

y=30

and so on. Now your answer would be Option B.

THE CREDIT GOES TO (IjlalHashmi)

The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path?

Answers

Answer:

8

Step-by-step explanation:

If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.

Hope that this helps!

From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.


What is coordinate?

Coordinate, is represented as the values on the x-axis and the y-axis of the graph.

Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
                                                    = 8

Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.


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A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° with the ground. Find the length of the wire.

Answers

it is a right triangle
cos 58 = 20/length of rope
length of rope = 20/cos 58 degrees
= 37.74 feet

3 / 1/3 dividend by 1 / 1/5​

Answers

The answer for this question is 0.2

If I had 3000 plums and I sold 100 how much money would I have plums would I have left.

Answers

Answer:

2,900 plums left

Step-by-step explanation:

3,000 plums - 100 sold plums = 2,900 plums left

Answer:

2900

Step-by-step explanation:

3000 (plums) - 100 (plums sold) = 2900 (plums left.)

You didn't say how much money you started out with by the plums.

what is the area of parallelogram if base is 13 and the height 14

Answers

Answer:

A = 182

Step-by-step explanation:

14 x 13 = 182

So, 182 would be your answer.

Someone help please struggling on this answer thank you so much!

Answers

Answer:

-x+8=6

Step-by-step explanation:

x+5-1(2x)+(-1)(-3)=6

x+5-1-2x+3=6

ans (-x+8=6)

x+8

Short Answer Note: Your teacher will grade your responses to questions 4-8 to ensure you receive proper credit for your answers. 4. Find the value of k. The diagram is not to scale. (I point) I need the answer as soon as possible

Answers

Answer : K = 73°

This question is asking us to find the value of a missing angle. To solve this question you need to know that all triangles have the complete value of 180°.

So to find the missing angle, let’s add the two given angles together.

62 + 45 = 107


And to find K, subtract 180 - 107.

73 is your answer.

Mariya is solving the quadratic equation by completing the square.

4x2-20x+3=0

4x2-20x=-3

A(x2-5x)=-3

Mariya is solving the quadratic equation by completing the square.

4x2-20x+3=0

4x2-20x=-3

A(x2-5x)=-3

What is the value of A?

-20
3
4
5

Answers

Answer:

4

Step-by-step explanation:

just 4 -_-

4x^2-20x

=4(x^2-5x)

so the value is 4

By solving the quadratic equation, the value of A is 4

Option (3) is correct.

What is a quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Given quadratic equation

[tex]4x^{2} -20x+3=0[/tex]

⇒ [tex]4x^{2} -20x=-3[/tex]

By taking 4 as common in [tex]4 x^{2}[/tex] and 20x

⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)

According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)

By comparing equation 1 and 2 we can clearly see that A = 4

Hence, by solving the quadratic equation, the value of A is 4

Option (3) is correct.

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What is the best name for the figure with vertices at the following coordinates?
(0,0), (-1, 1), (6, 1), and (2, 0)
A.
rectangle
B.
square
C.
trapezoid
D.
rhombus

Answers

Answer:  C) Trapezoid

Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.

The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the coordinates of the figure be represented as ABCD

Now , the vertices of the figure is

A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )

On plotting the coordinates in the graph , we get a trapezoid with

The longer base = BC

The shorter base = AD

So , the figure is a trapezoid

Hence , the vertices represents a trapezoid

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PLEASE HELP. !!!!!!
the 4th option is “A translation 2 units left and 1 unit up

Answers

2 units left & 1 unit up

can you answer this please

Answers

Answer:

C

Step-by-step explanation:

y=mx+b where m =slope and b= y intercept

m=y-y/x-x or 3-1/1-0 or 2

B is where the line crosses the x axis or 1

So y=2x+1

Jaclyn used the slope formula to find the slope of the line through the points given in the table.

A 2-column table with 2 rows. Column 1 is labeled x with entries 0, negative 3. Column 2 is labeled y with entries 4, 0.

1. Point 1: (0, 4); Point 2: (negative 3, 0). 2. Slope = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction = StartFraction 0 minus 4 Over negative 3 minus 0 EndFraction = StartFraction negative 4 Over negative 3 EndFraction. 3. Slope = four-thirds.

In which step did Jaclyn make an error?

Answers

Answer: She didn't make an error.

Step-by-step explanation:

She just didn't I got it right.

Answer:

answer is D

Step-by-step explanation:

What is the measure of x?

Answers

Answer:

x = 10

Step-by-step explanation:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

4*x = 5*8

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

A jazz concert brought in ​$167,000 on the sale of 8,200 tickets. If the tickets sold for $15 and $25 ​each, how many of each type of ticket were​ sold?

Answers

Answer:

x=3800, y=4400

Step-by-step explanation:

X+y=8200 equation 1

15x+25y=167000 equation 2

x=8200-y isolate x in equation 1

15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2

123000-15y+25y=167000

10y=44000

y=4400

solve for x by inserting y value into either equation.

x+y=8200

x+4400=8200

x=3800

Check answer:

15x+25y=167000

15(3800)+25(4400)=167000

57000+110000

167000=167000

A child weighs 44 lbs. The physician orders a medication for 10 mg/Kg/day. What do you give per day? (Use 0.45 for your conversion

Answers

Answer:

198 mg

Step-by-step explanation:

A child weighs 44 lbs.

Step 1

We convert the child's weight to kg

1 Ibs = 0.45kg

44 Ibs = x

Cross Multiply

1 Ibs × x = 44 Ibs × 0.45 kg

x = 44 Ibs × 0.45 kg/1 Ibs

x = 19.8 kg

Step 2

The physician orders a medication for 10 mg/Kg/day.

From the above statement, we know that:

10mg = 1 kg

Hence, what you give per day is calculated as:

1 kg = 10 mg

19.8kg = x

Cross Multiply

1 kg × x = 19.8kg × 10mg

x = 19.8kg × 10mg/1kg

x = 198mg

Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day

A circle has a radius of 18 ft and an arc length of 117. What is the measure of the central angle of
the circle?

Answers

20akakdjhajaksakakka

44
Match each ratio with its simplest form.
12:15
20:36
18:24

Pls answer ASAP I need to finish this today and I’m stuck

Answers

12 : 15 = 4 : 5

20 : 36 = 5 : 9

18 : 24 = 3 : 4

can some one pls help me with this i need help

Answers

Answer:

9/8 cup peanuts were used

The amounts are:

Correct

Correct

Incorrect


A 5-pack of granola bars costs $3.55. What is the unit price?

Answers

Answer:

0.71 is the unit price

Step-by-step explanation:

all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))

hope this helps!!!!

please mark brainiest<3

two rectangles have a scale factor of 4:1. If the area of the larger rectangle is 156cm^2, what is the area of the smaller rectangle?

A. 26.75 cm^2
B. 31 cm^2
C. 9.75 cm^2
D. 39 cm^2

Answers

Answer:

c=9.75cm^2

Step-by-step explanation:

156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156

Which of these quadrilateral types must have all four sides congruent?

A. Rectangle, square
B. Parallelogram, rectangle, square, rhombus
C. Square, rhombus
D. Rectangle, square, rhombus

Answers

C. Square & rhombus

C. Square, a rhombus is the right answer.

What does it mean that all four sides are congruent?

A rhombus is a parallelogram in which all four sides are congruent. Shaped like a diamond. A square is a parallelogram with four congruent sides and four right angles. In other words, squares are rectangles and diamonds.

Exactly all the shapes on the four sides are called squares. Each type of figure here is a square type. The lengths of the congruent sides are the same. If parallel sides are drawn as lines, they never intersect.

Two triangles are congruent If the corresponding sides have the same length and the corresponding angles are the same, then the two triangles are congruent.

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Hi, does anyone know the answer to this question? I’m bad at geometry and I’m struggling to answer it.

Answers

Answer:

QT = 16

Step-by-step explanation:

ΔQRS ~ ΔQRT

In similar triangles, corresponding angles are in same ratio.

[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]

Cross multiply,

QT * 25 = 20 * 20

[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]

When the hour hand moves from 3 pm to 6 pm, through how many degrees does it move?
A. 3⁰
B. 90⁰
C. 18⁰
D. 36⁰

Answers

i think it might be 90 degrees

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

B

Step-by-step explanation:

√256=16

√289=17

Answer:

b.√256 and √289 . play basketball

A parking lot in the shape of a parallelogram has a length of
300 meters and a width of 150 meters. A scale drawing of the
Sarking lot has a length of 10 centimeters and a width of 5
centimeters

Answers

Answer:

C. 1 centimeter = 30 meters

[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]

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