7.5, 8.5, 14.5 are these can form a triangle?

Answer:

u got it correct keep going

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

The image that gives the translation of the polygon six units to the left and two units upward is given as follows:

The fourth graph.

(which is the third graph if we consider that the first is the original image).

A translation is a movement to a graph or figure in which only the position of the figure changes, either left, right, up or down, keeping the inclination, orientation and congruence.

The translations are represented as follows:

For the translation 5 units left, we have that:

The bottom segment of x = 1 to x = 4 will assume coordinates of x = -5 to x = -2.

For the translation 2 units up, we have that:

The vertical segment from y = 1 to y = 3 will assume coordinates from y = 3 to y = 5.

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Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

The elevation of sally is -29.87

B. c -1 is the answer to the following question

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer:

x = -3/8

Step-by-step explanation:

26x+27x+55-10=5x+27

- Collect all like terms.

53x + 45 = 5x + 27

- Subtract 5x from both sides.

48x + 45 = 27

- Subtract 45 from both sides.

48x = -18

- Divide both sides by 48 to isolate the variable.

x = -3/8

Egbert must deposit $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

To calculate the required lump sum deposit, we can use the formula for compound interest:

A = P\((1+r/n)^{nt}\)

Where:

A = the future value (desired amount in the fund) = $40,000

P = the initial principal (lump sum deposit we need to find)

r = the annual interest rate in decimal form = 7% = 0.07

n = the number of compounding periods per year = 4 (quarterly compounding)

t = the number of years = 10

Plugging in these values, the formula becomes:

$40,000 = P\((1+(0.07/4)^{(4*10)}\)

Simplifying further:

$40,000 = P\((1.0175)^{40}\)

Now we can solve for P by dividing both sides of the equation by

P = $40,000 /\((1.0175)^{40}\)

Using a calculator to evaluate the expression, we find:

P ≈ $19,602.52

Therefore, Egbert must deposit approximately $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

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The quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Given that, a quadrilateral QRST has vertices Q(−1,0), R(2,2), S(5,0), T(−1,−4).  

We need tof verify that it is a trapezoid or not, we will find slopes of each side,

Slope = y₂-y₁ / x₂-x₁

Slope QR = 2-0 / 2+1 = 2/3

Slope RS = 0-2 / 5-2 = -2/3

Slope ST = -4-0 / -1-5 = 2/3

Slope QT = -4/0 = not defined

QR ║ ST

Since, two slope are equal therefore, the quadrilateral QRST is a trapezoid

Finding the distance between QS and TR

QS = √(5+1)²+(0-0)² = 6 units

TR = √(-1-2)²+(-4-2)² = √9+36 = √45 = 6.70

Since, QS ≠ TR, it is not an isosceles trapezoid.

Hence, the quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

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Answer:

Starting with:

-15 > -11 + w

Add 11 to both sides:

-15 + 11 > w

Simplifying:

-4 > w

Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:

w < -4

Answer:

446mm

Step-by-step explanation:

If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:

Upper left box: 16mm

Bigger box (excluding little box): 90mm

Big rectangle: 340mm

Now, add them all together.

Equals 446mm

Answer:

area: 446mm

Step-by-step explanation:

split up the shape into squares, find the area of those, add it all together to get the total area

Answer:

1.5

Step-by-step explanation:

\(9 \div 6 = 1.5 \\ the \: length \: of \: each \: rope \: is \: 1.5\)

The length of each piece of rope equal to 2/3 feet OR 0.66 feet

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Amelie has a rope that is 6 feet long.

She needs to divides her rope into 9 equal pieces.

i.e. 9 pieces of rope has length = 6 feet

1 piece of rope has length= 6/9 feet

                                         = 2/3 feet = 0.66 feet

Hence, the length of each piece of rope equal to 2/3 feet OR 0.66 feet.

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Answer: -6, -3, 0

Step-by-step explanation:

Because it’s right :)

Answer:

A, C, E

Step-by-step explanation:

-6, -3, 0

a. The distance around the park is 180 yards

b. QM = 18 yards

c. It takes 49 minutes  to travel the entire distance

a. The distance around the yard is given as;

PQ + QR + PQ

Where;

Total = 40 + 70 + 70 = 180 yards

b. To determine QM, we use the Pythagorean theorem;

PQ² = QM² + 1/2 PR²

40² = QM² + (35. 5)²

1600 = QM² + 1260. 25

Make 'QM' the subject

QM² = 1600 - 1260. 25

QM = √339. 75

QM = 18 yards

c. Average speed = 150 yards/ per minute

Total distance = 180 yards

Time = Average speed/ distance

Time = 150/ 180

Time = 0. 8 3 × 60

Time = 49 minutes

Thus, the distance around the park is 180 yards

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The polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

The given zeroes for the polynomial is-

4i and 1i.

From the conjugate zeroes theorem, for the polynomial having eal coefficients.

Then, -4i and -i is also the zeroes of the polynomial.

Thus, forming the polynomial P(x).

P(x) = (x + i)(x - i).(x + 4i)(x - 4i)

Using the property.

P(x) = (x² - i²).(x² - (4i)²)

We know that, i² = -1

P(x) = (x² + 1).(x² + 16)

Simplifying the equation;

P(x) = x⁴ + 17x² + 16

In which the coefficient of the highest power (x⁴) is 1.

Thus, the polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

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Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

9514 1404 393

Answer:

  1/72

Step-by-step explanation:

  \(\dfrac{1}{9}\times\left(\dfrac{1}{2}\right)^3=\dfrac{1}{9}\times\dfrac{1}{8}=\boxed{\dfrac{1}{72}}\)

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

Answer: The distributive property is a property where there is a coefficient/number, that is being multiplied to a group of numbers enclosed in parentheses. The coefficient can be distributed/multiplied to the numbers in the parentheses individually or after solving the expression in it.

Step-by-step explanation:

You can spot when the distributive property is used when you see a number in front of a group of numbers, such as these examples (in bold):

1. 4(5 + 6) = 46 , in this problem you can solve 5+6 before multiplying it by 4, or multiply 4*5 and 4*6 and then add it.

2. 2(x-3) = 12 , in this situation x is the unknown variable so you must distribute the 2 individually, so the result would look like: (2*x) + (2*-3) -> 2x - 6 = 12

Answer:

The height is 6 feet, and the length of the ramp is the hypotenuse of a right triangle with angle 28 degrees with the ground

Step-by-step explanation:sin

28=6/x

x*sin 28=6

x=6/sin 28=12.78 ft.

Answer:

Russ is correct

Step-by-step explanation:

Russ is correct because 130/22 will not be quite to 6, but you can't have 9/10 of a bus so you will round up to 6.

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Smaller number = 7

Larger number = 14

An algebraic equation can be solved in a variety of ways.

The method you use to solve an equation depends on the type of equation and the information you are given.

Some of the most common methods to solve algebraic equations include using factoring, using the quadratic formula, completing the square, graphing, and using the substitution method.

This question uses the algebraic equation solving technique.

Step 1: Create an equation that relates the two numbers.

Let x = the smaller number

Let y = the larger number

2x + 3y = 86

Step 2: Substitute the given information into the equation.

We know that y = x + 7, so we can substitute that into the equation.

2x + 3(x + 7) = 86

Step 3: Solve the equation.

2x + 3x + 21 = 86

5x + 21 = 86

5x = 65

x = 13

Step 4: Substitute the value for x into the expression for y.

y = x + 7

y = 13 + 7

y = 20

Therefore, the two numbers are 7 and 14.

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