If A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9 find the value of X

Answers

Answer 1

Answer:

Therefore, the value of x is -4 if A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9.

What is equation?

An equation is a mathematical statement that shows the equality of two expressions. It is composed of two sides, separated by an equals sign (=), indicating that the two sides are equivalent in value. An equation may contain variables, which are unknown values represented by letters, as well as constants, which are known values. Equations are used in many areas of mathematics and science to model and solve problems. For example, the equation y = mx + b is a linear equation that describes the relationship between the variables x and y in a straight line, where m is the slope of the line and b is the y-intercept. Equations can be solved by manipulating the variables and using mathematical operations to isolate the unknown value.

Here,

Since A = B, we know that AB = B². So, we can rewrite the equation AB = 3x - 5 as B² = 3x - 5.

Similarly, we can rewrite BC = 5x - 6 as B² = 5x - 6, and AC = 2x - 9 as A² - B² = (2x - 9) - (B^2).

Since we know that A = B, we can substitute B for A in the last equation to get:

B² - B² = (2x - 9) - (B²)

Simplifying this equation, we get:

0 = 2x - 9 - B²

Now we can substitute the equation B² = 3x - 5 into the above equation to get:

0 = 2x - 9 - (3x - 5)

Simplifying this equation, we get:

0 = -x - 4

Solving for x, we get:

x = -4

To know more about equation,

brainly.com/question/2228446

#SPJ1

Related Questions

Thr sum of 2 numbers is 97.The greater number is three less then four times the lesser number.Find the numbersneed answer soon PLEASE!!!!
A limited edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. Which equation can be used to find the value,y, after x years? (Round money values to the nearest penny.)
Write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,869)
Imari spent half her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. If she ended up with $12 how much is her weekly allowance? (Prove Your Answer)
An experiment consists of drawing 1 card from a standard 52 card deck? What is the probability of drawing a queen?

Please help please I am begging you

Answers

Answer:

Step-by-step explanation:

9 (x + 1) = 9*x + 9*1 = 9x + 9

The small rectangle was enlarged to create the big rectangle.A smaller rectangle has a length of 12 feet and width of 2 feet. A larger rectangle has a length of x feet and width of 5 feet.
Not drawn to scale

What is the missing measure on the big rectangle?
6 feet
10 feet
24 feet
30 feet

Answers

Answer: the missing measure on the big rectangle is 30 feet.

Step-by-step explanation:

If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.

The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that

x/12 = 5/2

Cross multiplying, it becomes

2x = 12 × 5 = 60

x = 60/2 = 30

Answer:

d 30

Step-by-step explanation:

ed 2020

Which figures demonstrate a single reflection?

Select each correct answer.

Answers

Answer:

Please see the attached image below, to find more information about the graph

The figures that are obtained by a single reflection are shown in the image inside a red rectangle.

The axis of reflection is shown with a black line.

- The figure from the left shows horizontal reflection

- The figure from the right shows vertical reflection

You want to rent an unfurnishedone-bedroomapartment for next semester. The mean monthlyrent for a random
sample of 10 apartments advertised in the localnewspaper is $580.
Assume that the standard deviation is$90. Find a 95% confidence
interval for the mean monthly rentfor unfurnished one bedroom
apartments available for rent in thiscommunity.

Answers

Answer: $(\$524.22,\ \$635.78)$

Step-by-step explanation:

Confidence interval for population mean is given by :-

$\overline{x}\pm z^* (\sigma)/(√(n))$

, where $\overline{x}$ = Sample mean

z* = critical z-value.

$\sigma$ = Population standard deviation.

n= Sample size.

Let x be the denotes the monthly rent for unfurnished one bedroom apartments available for rent in this community.

As per given , we have

n= 10

$\overline{x}=\$580$

$\sigma=\$90$

Critical value for 95% confidence : z* = 1.96

So the 95% confidence interval becomes,

$580\pm (1.96) (90)/(√(10))$

$=580\pm (1.96) (90)/(3.162278)$

$=580\pm (1.96)(28.46)$

$=580\pm 55.78$

$=(580-55.78,\ 580+55.78)=(524.22,\ 635.78)$

Hence, a 95% confidence interval for the mean monthly rent for unfurnished one bedroom apartments available for rent in this community= $(\$524.22,\ \$635.78)$

You are going to play mini golf. A ball machine that contains 23 green golf balls, 24 red golf balls, 18 blue golf balls, and 24 yellow golf balls, randomly gives you your ball. What is the probability that you end up with a red golf ball?

Answers

Answer:

$(24)/(89)$ chance or ≈27% chance or 0.27

Step-by-step explanation:

P of getting a red golf ball: $(24)/(23+24+18+24) =(24)/(89)$

Need answer to. Add 3x-3and4x^2-6x

Answers

3x-3+4x^2-6x
4x^2-6x+3x-3 (arrange them in order)
4x^2-3x-3

do u want more simplified form ?

Other Questions

Which technique is most appropriate to use to solve each equation?Drag the name of the technique into the box to match each equation

5/6 n=10 show me how to solve it please

A vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is constant. Customers arrive at a mean rate of 64 per hour, and this rate is Poisson-distributed.

Solve for x*(17x - 8)