factorise: x^{2} -49

Answers

Answer 1

Answer:

[tex] {x}^{2} - 49 = 0 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7[/tex]


Related Questions

Hola me podrían ayudar por favor Convertir las fracciones a números decimales y colocar los decimales en la recta numérica: a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 h. -7/4

Answers

Answer:

a. 2/3 = 0.67

b. 8/5 = 1.6

c. -5/2 = -2.5

d. 7/4 = 1.75

e. 9/2 = 4.5

f. -11/3 = -3.67

g. 13/5 = 2.6

h. -7/4 = -1.75

Step-by-step explanation:

Convirtiendo las fracciones dadas a decimales, tenemos:

a. 2/3 = 0.67

b. 8/5 = 1.6

c. -5/2 = -2.5

d. 7/4 = 1.75

e. 9/2 = 4.5

f. -11/3 = -3.67

g. 13/5 = 2.6

h. -7/4 = -1.75

Estimate sun and round to the nearest hundred 534+271

Answers

Answer:

805.00

Step-by-step explanation:

The answer is 805.00 for sure

Answer:

800

Step-by-step explanation:

534 + 271 = 805

805 rounded to the nearest hundred is 800. Remember that when numbers between 750 and 849 are rounded to the nearest hundred it is always 800.

Simplify:
4x + 3 + (– 3x) + 7x – 6x

Answers

Answer:

2x+3

Step-by-step explanation:

A model car travels around a circular track with radius 5 feet. Let Z denote the distance between the model car and a fixed point that is 20 feet to the left of the center of the circular track. The diagram above indicates the fixed point at the origin, the center of the circular track at the point (20,0), and the position of the car at the point (x,y). Z is the length of the line segment from the origin to the point (x,y). If x and y are functions of time t, in seconds, what is the rate of change of Z when x=23, y=4, and dxdt=2 ?

Answers

Answer:

[tex]\frac{dZ}{dt}[/tex]= [tex]\frac{40}{\sqrt{545} }[/tex] , so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.

Step-by-step explanation:

The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,[tex]\frac{dx}{dt}[/tex] , and [tex]\frac{dy}{dt}[/tex] gives [tex]\frac{dZ}{dt}[/tex]= [tex]\frac{40}{\sqrt{545} }[/tex] ,

The polynomials (3y^2+4) cm, (2y^2-5x) cm, and (6x+2) cm represents the three sides of a triangle. What is the perimeter of the triangle?

Answers

Answer:

[tex]5y^2 +6 + x\ cm[/tex]

Step-by-step explanation:

The computation of the perimeter of the triangle is shown below:

As we know that

The Perimeter of the triangle is

= one side + second side + third side

[tex]= 3y^2 + 4 + 2y^2 - 5x + 6x + 2\\\\= 5y^2 +6 + x\ cm[/tex]

Hence, the same is relevant

The average daytime temperature on Venus is 870°F. The average temperature on Jupiter is -160°F. What is the difference between the average temperatures on Venus and Jupiter?

Answers

Answer:

Step-by-step explanation:

Okay, outside of the Sun, the hottest place in the Solar System is the core of Jupiter. Once again, while the cloud tops of Jupiter are more than 100 degrees below zero, the core of the planet could be up to 30,000 Kelvin. ... In fact, Venus is even hotter than the planet Mercury when it's in the Sun

How does collecting like terms in an expression differ from collecting like terms in
an equation/inequality? Explain.

Answers

Answer:

I think its different from each other because maybe combining like terms in a inequality your trying to compare them? Or maybe they're just advanced. Can someone give me an example of an inequality please so I can try finding out the difference?

Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth_1 asmuch.
10
Makethe7worth_1 asmuch. 10
Make the 6 worth 10 times as much. Write the new number.

Answers

Answer:

Step-by-step explanation:

your mom

What is the solution to 0.5x - 2 < 5.5?​

Answers

0.5x - 2 < 5.5


Add 2 to both sides.


0.5x < 7.5

Now divide by 0.5 on both sides.

x < 15

For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?

Answers

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

Find an equation for the nth term of the arithmetic sequence.
-20, -16, -12, -8, ...

Answers

common difference = -16-(-20) = 4
nth term = -20+(n-1)4

Answer:

-4

Step-by-step explanation:

that is the nth termmmmm

Tyler bought two pieces of pizza and three diet Pepsi for $7.25 Scotty but for pizzas a pizza and diet Pepsi for $8.25 set up a system of equations to determine how much a slice of pizza cost and how much a diet Pepsi cost

Answers

Answer:

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

Step-by-step explanation:

Let us represent:

The cost of

1 slice of pizza = x

1 diet pepsi = y

Tyler bought two pieces of pizza and three diet Pepsi for $7.25

2x + 3y = 7.25.......Equation 1

Scotty but four pizzas and a diet Pepsi for $8.25

4x + y = 8.25......Equation 2

Combining the Equations

2x + 3y = 7.25.......Equation 1

4x + y = 8.25......Equation 2

y = 8.25 - 4x

We substitute 8.25 - 4x for y in Equation 1

2x + 3(8.25 - 4x) = 7.25

2x + 24.75 - 12x = 7.25

Collect like terms

24.75 - 7.25 = 12x - 2x

17.5 = 10x

x = 17.5/10

x = $1.75

Solving for y

y = 8.25 - 4x

y = 8.25 - 4(1.75)

y = 8.25 - 7

y = $1.25

Therefore,

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

PLEASE PLEASE HELP ME ASAP

Answers

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

sin=O/Hcos=A/Htan=O/A

----------------------------------------------------------

First Step: find BD

- AB relative to 54° is [hypotenues]

- BD relative to 54° is [opposite]

- Therefore, we need to use O/H, which is Sin

- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

- DC relative to 28° is [adjacent]

- BD relative to 28° is [opposite]

- Therefore, we need to use O/A, which is tan

- tan(28°)=16.2/A=16.2/tan(28°)=30.5

Hope this helps!! :)

Please let me know if you have any questions

Please help it's due today. Also please don't answer if you don't know.​

Answers

Answer:

the second answer

Step-by-step explanation:

hope u do well :)))))))))))))

Answer:

[tex]\frac{3a^4b}{7}[/tex]

Step-by-step explanation:

thats the simplified version

PLEASE HELP ITS URGENT!

Considering line BD as a side of ABD, express its length in terms of variables representing side lengths and angle measures in ABD. Show your work.

Answers

Answer:

Thats the answer from american school

Step-by-step explanation:

The value of the common length BD would be 8 units aprroximately.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given information;

1. Considering line BD as a side of ABD, express its length in terms of variables representing side lengths and angle measures in ABD.

So, We know that

Sin A = BD / AB

Sin A = BD / c

c Sin A = BD

Substitute;

(10) Sin (53.13) = BD

BD = 10 ( 0.79)

BD = 7.99

Therefore, the value of the common length BD would be 8 units aprroximately.

Learn more about trigonometric;

https://brainly.com/question/21286835

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?
Expand & simplify
(x + 3)(x – 8)

Answers

x Times x is x^2
X^2-8x+3x-24
x^2-5x-24

plxx help
it cost $ blank for blank popsicles​

Answers

Answer: if it’s asking for you to continue the sequence, try $10 for 30

Step-by-step explanation:

Multiplies of 6

A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?

Answers

Answer:

J   The relation represents y as a function of x, because each value of x is associated with a single value of y.

Step-by-step explanation:

I'm sure of this

Answer:

H

Step-by-step explanation:

i think so i’m not one hundred percent sure though ! Tell me if i’m wrong


please help me asap!!!!!!

Answers

Answer:

z-12

Step-by-step explanation:

you start of by z baseball and i know for a fact that fewer means subtraction so the answer is z-12


What is the sine of angle C?

Answers

Answer:

4/5 or 53°

Step-by-step explanation:

soh

cah

toa

you want soh

sine=opposite/hyp

therefore sine of C is 4/5

to find the degrees you have to something a lil different.

sin^-1 (theta)= 4/5

sin^-1(4/5)=theta

53°=theta

Is 4 a solution of 7 < 5x – 16

Answers

Answer:

no

Step-by-step explanation:

7 < 5*4 - 16

7 < 20-16

7 <4

Answer:

[tex] x > \frac{23}{5} [/tex]

Step-by-step explanation:

[tex]7 < 5x - 16 \\ - 5x < - 16 - 7 \\ - 5x < - 23 \\ [/tex]

[tex] \boxed{Answer:{\boxed{\green{= x > \frac{23}{5}}}}} [/tex]

Problem 1
Twenty pounds of strawberries are being shared equally by a group of friends. The equation 20÷5=4 represents the division of strawberries.
a. If the 5 represents the number of people, what does the 4 represent?
:

Answers

Answer:

it represents how many each person gets

Answer:

Hello im pretty sure that the represents the friend prove me if im wrong

Step-by-step explanation:

select all equations where b=11 is a soultion

Answers

Answer:

so where is the equations

Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10

feet.


Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular

wall?


Answers

Answer:

[tex]W \le 6[/tex]

Step-by-step explanation:

Given

[tex]Area = 60ft^2\ (max)[/tex]

[tex]Length = 10ft[/tex]

Required

Represent the width as an inequality

First, we represent the area as an inequality.

[tex]Area = 60ft^2\ (max)[/tex]

max as used above means less than or equal to.

So, we have:

[tex]Area \le 60[/tex]

The area of a rectangle is:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W \le 60[/tex]

Substitute 10 for L

[tex]10 * W \le 60[/tex]

Divide both sides by 10

[tex]\frac{10 * W}{10} \le \frac{60}{10}[/tex]

[tex]W \le \frac{60}{10}[/tex]

[tex]W \le 6[/tex]

plss help (ZOOM IN TO SEE FULL PIC)

Answers

Answer:

20

Step-by-step explanation:

root 144+ 256= 400 root 400 =20(Pyto Th.)

so 20

if my answer helps please mark as brainliest.

Answer:

20

Using the formula of Pythagoras theorum 20 is the answer.

Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?

Answers

Answer:

3mph

Step-by-step explanation:

his speed per hour will be 3 miles per hour

laurague here is your answer:)

Answers

Got it :)Thank you!!!!!!!

The graphs below have the same shape. What is the equation of the blue
graph?
RX) = x
g(x) = ?
9(x) =

Answers

Answer:

A

Step-by-step explanation:

it is A

The function of g(x) is g(x)=(x+2)². Therefore, option B is the correct answer.

What is quadratic equation of graph?

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The given function is f(x)=x².

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

From the graph, we can see vertex of f(x) is (0, 0) and vertex of g(x) is (2, 0).

The graph of g(x) is shifted 2 units to right.

Thus, g(x)=(x+2)²

Therefore, option B is the correct answer.

To learn more about the quadratic function visit:

https://brainly.com/question/27918223.

#SPJ7

18 rice cakes weigh a total of 130 g. There are 329 calories in 100 g of rice cakes. How many calories are there in one rice cake?

Answers

Answer:

1 rice cake has 23.761 calories

Step-by-step explanation:

18 rice cakes weigh a total of 130 g.

There are 329 calories in 100 g of rice cakes.

Step 1

We calculate the number of calories is 18 rice cakes

18 rice cakes = 130g

Hence,

100g = 329 calories

130g = x

Cross Multiply

100g × x = 130g × 329 calories

x = 130g × 329 calories/100g

x = 427.7 calories

Therefore, 18 rice cakes had 427.7 calories

Step 2

How many calories are there in one rice cake?

18 rice cakes = 427.7 calories

1 rice cake = x

Cross Multiply

18 × x = 1 × 427.7

x = 427.7/18

x = 23.761111111 calories

Approximately = 23.761 calories

Therefore, 1 rice cake has 23.761 calories



A cylinder has a base radius of 10m a height of 18m. What is its volume in cubic

m, to the nearest tenths place?

Answers

Answer:

5656 m^3

Step-by-step explanation:

Volume of a cylinder can be calculated using below formula

V = πr²h

Where

h= height =18m

r= radius= radius = 10m

If we substitute the values we have

V = π × (10)²× 18

= 5655.6 m^3

= 5656 m^3

Answer: 5654.9

Step-by-step explanation:

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