Geometry Question!!

Step-by-step explanation:

Step 1:  Find the solutions

[tex](x + 5)(x - 3) = 0[/tex]

(x + 5) = 0

[tex]x + 5 - 5 = 0 - 5[/tex]

[tex]x = -5[/tex]

(x - 3) = 0

[tex]x - 3 + 3 = 0 + 3[/tex]

[tex]x = 3[/tex]

Answer: Options B, E

Step-by-step explanation:

Do you mean area formula or the perimeter formula?

both formulas are different from the other because a triangle does not have 4 sides. A trapezoid is a quadrilateral.

and the triangle doesn't have "a base" usually

while trapezoids have two, one on the top and one on bottom

Answer:

d = -6/7

Step-by-step explanation:

7/6d+4/3=1/3

Subtract 4/3 from each side

7/6d+4/3-4/3=1/3-4/3

7/6 d = -3/3

Simplify the right side

7/6 d = -1

Multiply each side by 6/7 to isolate d

6/7 *7/6 d = -1 *6/7

d = -6/7

Answer:

D= -3.23077

Step-by-step explanation:

7/6d+4/3=1/3

       -4/3   -4/3

7/6d= -1

divide each side by 7/6

d= -3.23077

Answer:

[tex]\frac{2n^2}{5n^2-6n+1}[/tex]

Step-by-step explanation:

The problem is as follows:

[tex]\frac{2n-3}{10n^2-17n+3} *\frac{15n^3-3n^3}{6n^2-6n}[/tex]

To make this problem simpler to solve, you can simplify the fractions.  The first fraction can be simplified by factoring the denominator and cancelling out like factors.

[tex]\frac{2n-3}{10n^2-17n+3} \\\frac{2n-3}{(2n-3)(5n-1)} \\\frac{1}{5n-1}[/tex]

The second fraction can be simplified by cancelling out like factors.

[tex]\frac{15n^3-3n^3}{6n^2-6n}\\\frac{12n^3}{6n^2-6n}\\\frac{2n^2}{n-1}[/tex]

Now, you can multiply the two fractions quite easily

[tex]\frac{1}{5n-1} *\frac{2n^2}{n-1}\\\frac{2n^2}{5n^2-6n+1}[/tex]

Answer: Helen paid $250 for the bike

Carla paid $250 for the bike.

They both paid the same amount

Step-by-step explanation:

Final answer:

By calculating the pre-tax prices of the bicycles using the provided sales tax amounts and rates, we determine that both Helen and Carla's bicycles cost $250 before tax, meaning neither paid more for their bicycle excluding the sales tax.

Explanation:

To determine who paid more for their bicycle excluding the sales tax, we need to calculate the pre-tax price of each bicycle using the sales tax amounts given. This requires us to work backwards from the sales tax paid to the original cost of the item.

For Helen, we know that the sales tax was $14, and the rate was 5.6%. We find the pre-tax price by dividing the sales tax paid by the sales tax rate (converted into decimal form):

Pre-tax price for Helen = $14 / 0.056 = $250

For Carla, the sales tax was $12, and the rate was 4.8%. The pre-tax price calculation is similar:

Pre-tax price for Carla = $12 / 0.048 = $250

Since both pre-tax prices are equal, neither Helen nor Carla paid more for their bicycle when we do not include the sales tax.

Answer:

The price of a citron is 8 and the price of a wood apple is 9

Step-by-step explanation:

First of all we make two equations that represents the problem

c = citrons price

w = wood apples price

8c + 9w = 145

9c + 8w = 144

we clear c in the first equation

8c + 9f = 145

8c= 145 - 9w

c = (145 - 9w) /8

c = 145/8 - 9w/8

we replace c by (145/8 - 9w/8) in the second equation and solve

9(145/8 - 9w/8) + 8w = 144

163.125 - 10.125w + 8w = 144

163.125 - 144 = 10.125w - 8w

19.125 = 2.125w

19.125/2.125 = w

9 = f

now we replace w in the first equation

8c + 9w = 145

8c + 9(9) = 145

8c + 81 = 145

8c = 145 - 81

8c = 64

c = 64 / 8

c = 8

The price of a citron is 8 and the price of a wood apple is 9

Answer: A:12

Step-by-step explanation:

10*x=10x

15*8=120

120/10x=12

The value of x for the given problem is 12.

A straight line segment joining two points on a circle is called a chord. It is, in fact, a segment of a line whose ends lie on the circle. Drawing a line segment between the two ends and passing through the center of the circle is a common method of symbolizing a chord.

The products of the measures of the chord segments are equal when two chords cross over one another.

The following is the product to get the length x:

10 * x = 8 * 15

10x = 120

x = 120/10

x = 12

Therefore, the value of x is 12

75% of 52 would be 39.

The first step would be to multiply 52 by 0.75 (turning the percentage into a decimal). After that, it should come out as 39.

If this helped in any way, please thank, rate, and mark as brainliest. If you have any other questions or concerns, feel free to ask! Thank you, stay safe, and have a great rest of your day/quarantine!

You can follow me on IG: kaitlyn.kannasoot

Answer:

x = 3

Step-by-step explanation:

The solution to the equation is x = (-1 + √(57))/2.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the logarithmic identity log(a) + log(b) = log(ab), we can simplify the left side of the equation:

log(x - 1) + log(x + 2) = log((x - 1)(x + 2))

So the equation becomes:

log((x - 1)(x + 2)) = log 12

Using the logarithmic identity log(a) = b is equivalent to a = 10^b, we can rewrite the equation as:

(x - 1)(x + 2) = 12

Expanding the left side and simplifying, we get:

x² + x - 14 = 0

Using the quadratic formula, we find:

x = (-1 ± √(1 + 4 x 14))/2

x = (-1 ± √(57))/2

Since we can't take the logarithm of a negative number, we discard the negative solution and obtain:

x = (-1 + √(57))/2

Therefore,

The solution to the equation is x = (-1 + √(57))/2.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Answer:

B. 24 units

Step-by-step explanation:

Each triangle has 13 as the hypotenuse and 8 as a leg length; the lengths carry over.

The longer leg length (MP & PL) is 12 from the pythagorean theorem.

13^2 - 8^2 = 12^2.

MP + ML = PL, so 12 + 12 = 24.

Answer:

24

Step-by-step explanation:

Answer: 1.43 hours

Step-by-step explanation:

Let their speeds be = x km/h

The time taken by Tory will be= 50/x hours to dock

Emilio pilots for another 2 hours and this will be= (50/x)+2) hours

Emilio pilots 120 km for (50/x)+2) hours

d/t=r

120/(50/x) +2) =x

120 = [x(50/x) +2)]

120= 50+2x

2x= 120-50

2x = 70

x= 70/2

x = 35

Tory takes 50/35 = 1.43 hours for 50 km.

Answer:

5x (5x²+3) ( x-1 ) ( x+1 )

Step-by-step explanation:

hope this helps

Answer: yes

Step-by-step explanation:

Answer:

The sum of their measures is 180°.

Answer:

To find the result of 300 - 650, we can:

a) do 650 + 300 and keep the result sign

b) do 650 + 300 and invert the result sign

c) do 650 - 300 and keep the result sign

d ) perform 650 - 300 and invert the result sign

Step-by-step explanation:

The correct answer is the letter D .

(perform 650 - 300 and invert the result sign)

300 - 650

300 is more than - 650 on the number line this is because of the negative sign of 650

so we can also write it as 650 - 300 and after getting the require result with put the negative sign to the result, so the result will be -350

Keep the sign of the number with the highest absolute value and subtract from it the lowest absolute value.

- (650 - 300)

Subtract the numbers.

- 350

therefore, the answer is d ) perform 650 - 300 and invert the result sign

I hope that helps, coz l've done what i know

Answer: A.) Critical values: r= ± 0.514, no significant linear correlation

Step-by-step explanation:

r = 0.105

n = 15

The level of significance for a two-tailed test is 0.05

The degrees of freedom = n - 2 = 15 - 2 = 13

Using the pearson product moment correlation Coefficient table ; The critical value for the correlation Coefficient is ±0.513977

When the correlation coefficient (for a sample of 15 drawn from the same population) is less than ±0.514 (critical value), that means no significant linear correlation exists.

Answer:

slope: 2

x-intercept = -1/2

Step-by-step explanation:

The equation is in  y = mx + b  form.  m = slope.  The slop is equal to 2.

To find the x-intercept set y equal to 0 and solve for x.

0 = 2x + 1

-1 = 2x

x = -1/2

Answer:

slope= 2

x intercept=-0.5 or -1/2

Step-by-step explanation:

y= mx+b

m is the slope, therefore 2 is the slope of the equation.

X-intercept

substitute 0 to y

0=2x + 1

Subtract 1 from both sides

0-1=2x+1-1

-1=2x

Divide both sides by 2

-1/2=2x/2

x=-1/2 or -0.5

Answer: 57.50

Step-by-step explanation:

50*.15=7.50

50+7.5=57.50

B - $57.50

Step-by-step explanation:

To find the cost of the available bicycle before taxes, we need to add another 15% to the original $50. To do that, all you do is multiply $50 by 15%, and then re-add the $50. Work is shown below:

First, change 15% into a decimal:

15% -> 15/100 -> 0.15

Next, lets find the cost of the available bicycle:

x = 50 (0.15)

x = 7.5

Now add the $50 back 7.5:

50 + 7.5 = 75.50

So your answer is B = $57.50 

Answer:22.75

Step-by-step explanation:

Answer:

0.0853

Step-by-step explanation:

Step 1

The first step would be to find the Z score

Formula for Z score is given as

z = x – μ /( σ ÷ √n)

Where

x = observed value

μ = mean

σ = Standard deviation

n = sample size

In the question we were given the above values as :

x = observed value = $7500

μ = mean = $7200

σ = Standard deviation = $1200

n = samples size = 30

Z score (z) = $7500 – $7200 /($1200÷ √30)

Z score = $300/ ( $1200 ÷ √30)

Z score = 1.3693063938

Approximately, the Z score = 1.37

Step 2

Using this formula:

1 - P(z > 1.37)

Using the Standard distribution table,

P(z > 1.37) is given as

0.9146565

Therefore,

1 - P(z > 1.37)

= 1 - 0.9146565

= 0.0853435

In the question we were asked to round it up to 4 decimal places

= 0.0853

Therefore, the probability that the mean daily revenue for the next 30 days will exceed​ $7000 is 0.0853.

Answer:

Y-intercept:3

slope: -6

Step-by-step explanation:

because the slope ends with x because that's what will go on the x line of a graph.and the y-intercept ends with y because that's how the number will increase.Hope it helps:)!

The equation -6x + 3y = -9 is rearranged to y = 2x - 3. The slope (m) is 2, and the y-intercept (b) is -3.

To find the slope and y-intercept of the line represented by the equation -6x + 3y = -9, we need to rearrange it into the slope-intercept form (y = mx + b), where m is the slope, and b is the y-intercept.

Step 1: Rearrange the equation:

-6x + 3y = -9

Add 6x to both sides:

3y = 6x - 9

Step 2: Solve for y:

Divide both sides by 3 to isolate y:

y = (6/3)x - (9/3)

y = 2x - 3

Now, the equation is in the slope-intercept form. The slope (m) is the coefficient of x, which is 2, and the y-intercept (b) is the constant term, which is -3.

For more such information on: slope

https://brainly.com/question/16949303

#SPJ2

Answer:

1/10

Step-by-step explanation:

There's 10 marbles that you can pick, and there's only one marble with a 3 on it. So it'd be 1/10

I did the question and the correct answer was 9/10. Not 1/10 like the other answer.

Step-by-step explanation:

Step 1:  Determine which option

First let me explain you what dependent means, it means that the next event is affected by the previous event.  On the other hand, independent means that all of the events have the same chance of happening and the items don't disappear.  

In this question, if a person chooses a donut there are no more of that type and the next event is affect by the previous one.  Therefore, this question is dependent.

Answer:  Dependent

Answer:

Step-by-step explanation:

Width = w

Length = 3w

Area = 243 square units

length *width = 243

3w * w = 243

3w² = 243

The equation that can be used to find the width of the rectangle is 3w² = 243.

A rectangle is a polygon having four sides , The opposite sides are equal to each other and measure of all the angles is 90 degrees.

It is given that

A rectangle's length is three times its width, w.

l = 3w

Its area is 243 square units.

Area of a rectangle is given by

length * breadth

l*w

3w*w = 243

3w² = 243

equation that can be used to find the width of the rectangle is 3w² = 243.

To know more about Rectangle

https://brainly.com/question/15019502

#SPJ2

Factor the number: 64 = [tex]4^3[/tex]

Apply radical rule: [tex]\sqrt[n]{a^n}[/tex] = a  

a [tex]\geq 0[/tex]

[tex]\sqrt[3]{4^3} =4[/tex]

= 4

Answer:

£375

Step-by-step explanation:

Difference will be equal to the difference in VAT

(20% - 17.5%) of 15000

2.5% of 15000

2.5/100 × 15000

375

Answer:

Answer: D. How many bored games have you played in the past month

D because a statistical question is where you collect data and has to have a variability in that data.

Because it’s statistical

Step-by-step explanation:

Answer:

C. How many board games require a deck of card to play?

Step-by-step explanation:

A. is automatically out because you will only get one answer and you need to have veniality.

B. is also automatically out because then again you will only get one answer.

D. is a tricky one thought, it may look like it is the right answer but it is not because you will once again only get one answer. And based on how the question was worded it sounds like they were asking a specific person. (You have to ask more than one person in order to make that question statistical.)

For example, Say the question was: How many times have you watched star wars this past month? It may not be the same question but it has the same format. So, if you ask someone how many times have they had watched Star Wars this past month, they will say a specific number, like 7. The same goes with question D.

Hope this helped! :)

Answer:

The equation of the hyperbola is presented as follows;

[tex]\frac{x^2}{16} - \frac{y^2}{9} =1[/tex]

Step-by-step explanation:

Here we have the standard equation of an hyperbola given as follows;

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} =1[/tex]

Where:

a = x intercept

The asymptote is ±(b/a)x

Since the intercept, a is ± 4, the vertices are (-4, 0) and (4, 0)

We are given the asymptote as y = 3/4x, therefore, since the genral form of the asymptote is ±(b/a)x, comparing, we have;

±(b/a)x ≡ 3/4x

We have a = ±4, therefore, b = 3

Hence the equation of the hyperbola is found by putting in the values of a and b in the general form as follows;

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} =1 \Rightarrow \frac{x^2}{4^2} - \frac{y^2}{3^2} =1[/tex]

The equation of the hyperbola = x²/16 - y²/9 = 1.

Answer:

B

Step-by-step explanation:

edge

Answer:

26

0.18x = 4.68

x = 4.68/0.18

x = 26

Step-by-step explanation:

The number 26 is 0.18 of the number 4.68.

Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 0.18 times, the number is 4.68. The value of the unknown number is calculated below;-

Let the unknown number be x and now form an equation and solve for the value of x.

0.18x = 4.68

x = 4.68/0.18

x = 26

Therefore, the number 26 is 0.18 of the number 4.68.

To know more about an expression follow

https://brainly.com/question/13876963

#SPJ5