Ai giải giúp mình giải bài này với
[tex]\sqrt{36x^{2} -60x+25} =4[/tex]

Answers

Answer 1

Answer:

x=[tex]\frac{3}{2}[/tex] and x=[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{36x^2-60x+25}=4[/tex]

=> [tex]\sqrt{36x^2-60x+25}^{2} =4^{2}[/tex]

=> [tex]{36x^2-60x+25}=16[/tex]

=> [tex]36x^2-60x+25-16=16-16[/tex]

=> [tex]36x^2-60x+9=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}[/tex]

=>[tex]x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\[/tex]

=> [tex]x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}[/tex]


Related Questions

Which of the following is a statement? (a) The fishes are beautiful (b) Study mathematics. (c) x is a capital of country y. (d) Water is essential for health.​

Answers

Answer:

its letter a

Step-by-step explanation:

I hope you help

What is the minimum perimeter of a rectangle with an area of 625 mm^2

Question 2 options:


100 mm


125 mm


156.25 mm


312.5 mm

Show your work:

Answers

Answer:

100 mm

Step-by-step explanation:

Square root the area to find the length of each side

[tex]\sqrt[]{625} =25[/tex]

Multiply 25 by 4 to get the sum of all four sides for the perimeter

25 x 4 = 100

using trig solve for the missing angle

Answers

Answer:

The answer is 26.4

QUICK! WHAT IS THIS ANSWER?

Answers

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

a)

we want to expand the following expression:

[tex] \displaystyle - \frac{1}{4} ( - 8x + 12y)[/tex]

well to do so we consider distributive property thus distribute:

[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y)[/tex]

reduce fraction which yields:

[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y) \\ \\ \displaystyle 2x + ( - 3y)[/tex]

simplify Parentheses:

[tex] \displaystyle \boxed{ 2x - 3y}[/tex]

b)

in the expression there's a common factor of 4 therefore factor it out:

[tex] \displaystyle 9.4a - 4.4 \\ \\ \displaystyle \boxed{4(9a - 4)}[/tex]

Plz help : ) I don't understand

Answers

Those are alternate interior angles.
Converse statement because usually one is told two lines are parallel first and then the alternate interior angles are congruent second.

Write the ratio:
0.15
to
0.6
as a fraction in lowest terms.

Answers

Answer:

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

basically 1/4

Step-by-step explanation:

What is the area of trapezoid DEFG with coordinates D (4, 3), E (4, 0), F (2, 1), and G (2, 3)?
10 square units
5 square units
3 square units
2 square units

Answers

The area of the trapezoid is 10 square units

How to find the area of a trapezoid?

The formula for finding the area of the trapezoid is expressed as:

A = 0.5(a+b)h

where:

a and b are the sides

h is the height

Given the following

a = 3

b = 2

h = 4

Determine the requried volume of the trapezoid

Substitute

A = 0.5(3 + 2)*4

A = 0.5(20)

A = 10 square units

Hence the area of the trapezoid is 10 square units

Learn more on area of trapezoid here: https://brainly.com/question/1463152

Answer:

B) 5 Square Units

Step-by-step explanation:

Answered from another colleague :)

B1 = 2

B2 = 3

H = 2

A = 1/2 (B1 + B2) H

1/2 (2+3) 2

1/2 (5) 2

(2.5)2

5

(4 x 10 ^ 7) ÷ (8 x 10 ^ 4) in standard form PLZ ANSWER QUICK

Answers

Answer:

4.67×10

4

=4.67×10000=46700

[tex]4.67 \times {10}^{4} [/tex]

[tex] = \: 4.67 \times 1000[/tex]

[tex] = \: 46700[/tex]

Find the equation of the line through the points (-5,11) and (2,-3)
y=

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 11 / 2 - (-5)

-14/ 7

= -2

y = -2x + b

-3 = -2(2) + b

-3 = -4 + b

1 = b

If the two legs of a right triangle are 15 and 20, how long is the hypotenuse?

Answers

Answer:

25

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2 where a and b are legs and c is the hypotenuse. We can plug in the values of 15 and 20, and solve for c:

15^2 + 20^2 = c^2

225 + 400 = c^2

625 = c^2

c = 25

This means the hypotenuse is 25.

A2 + B2 = C2 is the Pythagorean Theorem where A and B are the legs and C is the hypotenuse.

(15cm)2 + (20cm)2 = C2 after substitution

225cm2 + 400cm2 = C2 add

625cm2 = C2 Take square root of both sides

25cm = C which is the hypotenuse.

Two-Fifths of a number is 48. What is 3/4 of the SAME number?
Need help urgently

Answers

Answer:

[see below]

Step-by-step explanation:

"Two-Fifths of a number is 48."

(2/5)n = 48

((2/5n)(5/2) = 48 *(5/2)

n = 120

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

120 * (3/4) = 90

Hope this helps you.

Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

Answers

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

so

z2=(10/3)2=100/9

Answer:

mee:)

Step-by-step explanation:

f;kn ef

A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)

Answers

Answer:

83 times.

Step-by-step explanation:

n + 3n + 8n = 240

12n = 240

n = 20.

So we have 20 reds in 240 spins

So by proportion the number expected in 1000 spins

= 20 * 1000/240

= 1000/12

= 83 1/3

So its 83 reds.

Which expression is equivalent to
8x^7y^8? Assume x>0.

Answers

Answer:

2x^3y^3Sqrt2 is the expression

ANSWER ASAP ILL MARK BRAINLIEST!!! if the vertex of a parabola is (-1,-9) what is the equation of the axis of symmetry?​

Answers

Answer:

x = -1

Step-by-step explanation:

the equation of the axis of symetry =>

x = -1

We have to find,

The equation of the axis of symmetry.

The answer will be,

→ x = -1

Therefore, this is the equation.

Quanto falta para a fração 8/6 chegar a 2 inteiros? respondem rapido pfv

Answers

Answer:

4/6

Step-by-step explanation:

8/6 + 4/6 = 12/6

12/6 = 2.

Y=1/3mx^3 – (m–1)x^2 + 3(m–2)x +1/3

Answers

Answer:

not true

Step-by-step explanation:

i just wants points mate

see screenshot below​

Answers

Answer:

[tex] \displaystyle B) {x} = \log_{6} 118[/tex]

Step-by-step explanation:

we would like to solve the following exponential equation:

[tex] \displaystyle 2 \cdot {6}^{x} = 236[/tex]

to do so divide both sides by 2 which yields:

[tex] \displaystyle {6}^{x} = 118[/tex]

take log of base 6 in both sides so that we can solve the equation for x by using [tex]\log_ab^c=c\log_ab[/tex] and that yields:

[tex] \displaystyle \log_{6} {6}^{x} = \log_{6} 118[/tex]

use the formula:

[tex] \displaystyle {x} = \log_{6} 118[/tex]

hence,

our answer is B)

Answer:

[tex]\boxed{\sf Option \ B }[/tex]

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation is ,

[tex]\sf\dashrightarrow 2 \times 6^x = 236 [/tex]

Transpose 2 to RHS , we have ,

[tex]\sf\dashrightarrow 6^x = \dfrac{236}{2} [/tex]

Simplify ,

[tex]\sf\dashrightarrow 6^x =118 [/tex]

Use log both sides with base "6"

[tex]\sf\dashrightarrow log_6 ( 6^x) = log_6 118 [/tex]

Using the property of log ,

[tex]\sf\longmapsto \bigg\lgroup \red{\bf log_p q^r = r log_p q}\bigg\rgroup[/tex]

[tex]\sf\dashrightarrow x \ log_6 6 = log_6 118 [/tex]

Again we know that ,

[tex]\sf\longmapsto \bigg\lgroup \red{\bf log_p p= 1}\bigg\rgroup[/tex]

We have ,

[tex]\sf\dashrightarrow x \times 1 = log_6 118 [/tex]

Therefore ,

[tex]\sf\dashrightarrow\boxed{\blue{\sf x = log_6 118 }} [/tex]

Hence option B is correct .

Question 2 of 10
What is the length of MN?
M
4x
x + 3
250"
50
N
A. 4
o
B. 1
C. 7
ОО
D. 8

Answers

Answer:

4

Step-by-step explanation:

Since the base angles are the same, the side have to be the same

ML = MN

4x = x+3

Subtract x from each side

4x-x = x+3-x

3x= 3

Divide by 3

3x/3 = 3/3

x = 1

We want the length of MN

MN = x+3 = 1+3 = 4

The measurement of MN side is 4

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Since the base angles are the same, the side have to be the same

ML = MN

4x = x+3

Subtract x from each side

4x-x = x+3-x

3x= 3

Divide by 3

3x/3 = 3/3

x = 1

We want the length of MN

MN = x+3 = 1+3 = 4

Learn more about triangles here:

https://brainly.com/question/2773823

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please help!! i have no idea!

Answers

Answer:

θ = 60.34

Step-by-step explanation:

[tex]\frac{\left(12.8\cdot \:sin\left(90\right)\right)}{sin\left(52.3\right)}[/tex] = 16.177

[tex]\frac{\left(16.177\cdot \:sin\left(90\right)\right)}{18.6}[/tex] =  θ = .869

[tex]arcsin\left(.869\right)[/tex] = 60.34

Answer:

60.4°

Step-by-step explanation:

There are two right triangles.

One right triangle (on the left side) has an acute angle measuring 52.3°.

Its opposite leg measures 12.8 cm.

We can find the length of its hypotenuse, x.

sin 52.3° = opp/hyp

sin 52.3° = 12.8 cm/x

x * sin 52.3° = 12.8 cm

x = 12.8 cm/sin 52.3°

x = 16.2 cm

Now we use the hypotenuse of the left side triangle which is a leg of the right side triangle.

For the right side triangle, we are looking for angle Θ. We know the opposite leg, 16.2 cm and the hypotenuse, 18.6 cm.

sin Θ = opp/hyp

sin Θ = 16.2/18.6

sin Θ = 0.8698

Θ = sin^-1 0.8698

Θ = 60.4°

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
]

Answers

Answer:

im not completely sure if the question is just asking how many gallons of gas berto is able to buy but if it is than he is able to buy 3.2 gallons of gas

Step-by-step explanation:

just do how much money he has divided by how much gas costs to see how much gas he will be able to buy

Answer: (3.2, 12)

Step-by-step explanation:

ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m from Ahmed. Determine the angle of elevation of the plane measured from Ahmed, to the nearest degree

Answers

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}[/tex]

Therefore

[tex]tan(\theta) = \dfrac{y}{x}[/tex]

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

Make x the subject of the formula
mx=y

Answers

You’re going to have to single out the x. So, the way to go is divide both sides by m. Then you’re left with

x = y/m

The second hand on a clock is
8 cm long.
What is the distance the tip of the second hand travels in 10 minutes?

Answers

Answer:

8.37 cm rounded

Step-by-step explanation:

C = 2π r

C = 2π (8)

C = 16 π

C = 50.24

1/6 ( 50.24)= 8.37

What is the midpoint of AB?
A
F GHI
B
+
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
3 4 5 6 7
5 6 7 8 9
+
+
point F
point G
point H
O point

Answers

Answer:

the answer is point G

It is found that Point G is the midpoint of AB.

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

We are Given two points A and B which are located at -6 and 8 on the number line. We need to find the midpoint of AB.

First we have to calculate the distance between AB which can be calculated as;

8-(-6)=14 units

Now, to find the midpoint we have to divide the total distance by 2.

Hence, the mid point of AB is 7 units apart from both points A and B then G.

Learn more about midpoint here;

https://brainly.com/question/5127660

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How many solutions does-3x = -x – 2x have?

Answers

Answer:

infinite solutions

Step-by-step explanation:

-3x = -x – 2x

Combine like terms

-3x = -3x

Add 3x to each side

-3x+3x = -3x+3x

0 =0

This is always true so there are infinite solutions

Brian can type 50 words per minute. He needs to finish typing his 700-word essay and already has 375 words typed. Write and solve an equation to determine the number of minutes (m) that it will take Brian to finish writing his essay. (Round your answer to the nearest tenth)

Answers

so the equation would be 50m + 375 = 700

i got this because we know that for every minute, m, he types 50 words. since he already has 375, we can just add that onto the 50m. those two combined, 50m + 375, must equal 700, so that is what the equation equals.

to solve for this, we first subtract 375 on both sides to get 50m = 325, then divide both sides by 50, and get that m = 6.5

Can someone help me with this math homework please!

Answers

9514 1404 393

Answer:

  (-1, 1)

Step-by-step explanation:

Find the differences between an f(x) value and the previous one

  3 -18 = -15

  0 -3 = -3

  3 -0 = 3

  6 -3 = 3

  3 -6 = -3

Where the differences are positive, the function is increasing on the interval. Here, it is increasing on the intervals (-1, 0) and (0, 1). Then the longest increasing x-interval is (-1, 1).

(-6)+(-1)+4+9+...+64 sequence

Answers

Answer:

n

Step-by-step explanation:

hb

U have to times add subtract any of the numbers well what ever numbers u have to do for that and then u add the numbers without the brackets and always put the numbers in brackets first!! Always!!

Analyze the diagram below and complete the instructions that follow.



Quadrilateral LMNO is a rectangle. Find MN.

A.
7
B.
10
C.
18
D.
27

Answers

Answer:

there is no diagram ......

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