Rewrite the following equation in slope-intercept form.

5x − 11y = 5


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer:

a) isoceles

b) 40°

Step-by-step explanation:

a) an isoceles triangle has 2 sides of equal length

b) Two interior angles of an isoceles triangle are equal.

Also, the sum of the interiors angles of any triangle = 180°

We are told that one of the angles measures 100°.  This angle cannot be one of the 2 equal angles, as 2 x 100° = 200° which is greater than the sum of all three angles.

Therefore, the sum of the 2 equal angles must be 180 - 100 = 80

Therefore, the size of one of them = 80 ÷ 2 = 40°

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

for such more question on value

https://brainly.com/question/27746495

#SPJ8

The town should be located 13.4 units from each other

The formula for calculating the distance between two points is expressed as:
√(x2-x1)²+(y2-y1)²

The midpoint of two coordinates is expressed as:
\(m(x, y)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)

Substitute the given coordinate

\(m(x, y)=(\frac{3+15}{2}, \frac{1+7}{2} )\\m(x,y)=(9,4)\)

Hence the town should be located at coordinate (9, 4)

Calculate the distance

D =  √(15-3)²+(7-1)²

D =  √(12)²+(6)²

D = 13.4units

Hene the town should be located 13.4 units from each other

Learn more on midpoint here: https://brainly.com/question/24431553

The capacity of the container is equal to 7.6 × 10⁻³ kiloliters.

This is a unit conversion question, in which we need to determine how many kiloliters are equivalent to the capacity of a container.

According to capacity tables, a cubic decimeter or 1000 cubic centimeters equals a liter. Then, we can determine the number of kiloliters by using the following cross multiplication:

x = 7.6 dm³ × (1 L / 1 dm³) × (1 kL / 1000 L)

x = 7.6 × 10⁻³ kL

To learn more on unit conversion: https://brainly.com/question/19420601

#SPJ1

Answer:

x= 55

Step-by-step explanation:

Answer:

x is 55 degrees

Step-by-step explanation:

since it is a right angle set up the equation

20+x+15=90

then solve to get 55

In the diagram, the area of the square c is 2009

The area of the square is solved using the formula

length x length

The lenght is caluclalted using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required dimensions

x² = 35² + 28²

x² = 1225 + 784

x² =  2009

x = √2009

x = 44.82

Area of the square is x² =  2009

Learn more on Pythagoras theorem here:

https://brainly.com/question/29363020

#SPJ1

Answer:

600,000+10,000+9,000+400+90+3

Answer: 600,000+ 10,000+ 9,000 + 400 +90 + 3

Step-by-step explanation:

Answer:

4 2/3 mph

Step-by-step explanation:

A boat travels 15 miles upstream and 19 miles downstream.

If the boat travels 8 mph in still water, find the speed of the current if the total trip takes 6 hours.

Let c = the speed of the current

then

(8+c) = effective speed downstream

and

(8-c) = effective speed upstream

Write a time equation: time = dist/speed

Upstream time + downstream time = 6 hrs

\(\frac{15}{8-c} +\frac{19}{8+c}=6\)

120+15c+152-19c=384-6c²

6c²-4c-112=0

c=4 2/3

Answer:

37 miles

Step-by-step explanation:

74/2=37

If Nolan's car can go 74 miles for 2 gallons, then one gallon could last it for 37 miles.

Answer:

12

Step-by-step explanation: because 30 divided by 5/6 gives you your simplified answer of 12 when you switch over the incomplete progress of elimination when overwriting your decimal place so , that gives you 12

The solution for a number that satisfies the condition ''5/6 times a number is 30.'' is, 12

We have to give that,

To find a number which is 5/6 times a number is 30.

Now, let us assume that,

A number = x

Hence, it can be written as,

⇒ \(\dfrac{5}{6} \times x = 30\)

Solve for x,

Multiply by 6 on both sides,

⇒ \(5x = 10 \times 6\)

⇒ \(5x = 60\)

Divide 5 on both sides,

⇒ \(x = \dfrac{60}{5}\)

Simplify it,

⇒ \(x = 12\)

Therefore, the solution is, x = 12

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ6

On solving the provided question we can say the root of the given cubic equation are -     x= 0, 4.449 and -0,449

A cubic equation is one that has degree three. All cubic equations have roots that are either one real root and two imaginary roots or three real roots in nature. Three-degree polynomials are referred to as cubic polynomials.

An algebraic equation known as a cubic equation has a polynomial with a greatest degree of three. These are a few instances of cubic equations. 2x3 - 4x2 + 5 = 0, etc., where x3 - 4x2 + 15x - 9 = 0 A cubic equation has the generic form ax3 + bx2 + cx + d = 0, where a 0.

\(x = \frac{4-\sqrt{24} }{2} = 2 - \sqrt{6} = -0.449\\ x = \frac{4+\sqrt{24} }{2} = 2 - \sqrt{6} = 4.449\\\\x = 0\)

To know more about quadratic equation visit:
https://brainly.com/question/17177510

#SPJ1

Answer:0.67

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

The slope of the line passing through the points (-2, 5) and (1, 4) is m = -1/3.

The exponential function of the graph is y = 4(0.5)^x

From the question, we have the following parameters that can be used in our computation:

(0, 4) and (1, 2)

An exponential function is represented as

y = ab^x

Where

a = y when x = 0

Using the above as a guide, we have the following:

y = 4b^x

Using the points, we have

4b = 2

So, we have

b = 0.5

This gives

y = 4(0.5)^x

Hence, the function is y = 4(0.5)^x

Read more about exponential function at

https://brainly.com/question/11464095

#SPJ1

Hello!

The y intercept of the parabola is when one of it's function's hits/intersects the y axis. The y intercept of the parabola y = x^2 is (0,0).

You may be wondering where is that, and why is it there. Y = x^2 is a parent function.

Check the image below for better explanation from me.

(0,0) = y - intercept

Answer:

Step-by-step explanation:

The probability of asking for the cherries flambe and dying, P(A) = 0.5 × 0.6 = 0.3

The probability of asking for the chocolate mousse and dying, P(A) = 0.4 × 0.9 = 0.36

The probability of skipping dessert altogether = 0.1 × 0 = 0

The probability that the rich uncle dies, P(D) is

P(D) = 0.3 + 0.36 + 0 = 0.66

To determine the prime suspect, we would apply the concept of conditional probability. It is the probability of an event, A occurring given that event B has occurred. We would compare probabilities of the events A and B occurring given that event D also occurred

Therefore,

P(A|D) = 0.3/0.66 = 0.45

P(B|D) = 0.36/0.66 = 0.55

Therefore, the prime suspect is Margo because his probability is higher

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

Learn more about surface area of prism here: https://brainly.com/question/16421693

#SPJ1

Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Learn more about Probability

https://brainly.com/question/11234923

#SPJ1

Answer:

10b/y^2

Step-by-step explanation:

Hope this helps! :)

Answer: Surface Area: 32 yd^2

Volume: 16 yd^3

Step-by-step explanation:

Surface Area: 2(2*2)+2(2*2)+2(2*4)=

                       2(4)+2(4)+2(8)=

                         8+8+16=32 yd^2

Volume: 2*2*4=16 yd^3

Answer:

113.04

Step-by-step explanation:

To find the area of a  circle, you multiply 3.14 times the radius squared. To find the radius, you divided the diameter by 2. You get 6. You square 6 and get 36. Multiply that by 3.14 and you'll get 113.04 as your area.

Answer:

x≥7

Step-by-step explanation:

mark me brainliest please

Answer: \(1\frac{1}{2} *9=\frac{3}{2}*9=\frac{27}{2}=13\frac{1}{2}\)

Step-by-step explanation:

Answer:             27

                        -------  

                           2

Step-by-step explanation:

The number of square feet needed to cover the hole is 44ft²

To find this, we need to find the area of the green region and subtract the little square that it has inside.

Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:

A = 12ft*4ft = 48ft²

The little square has an area:

a = 2ft*2ft = 4ft²

Then the area needed is:

area = 48ft² - 4ft² = 44ft²

Learn more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

c

Step-by-step explanation:

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

Answer:

x=8-5y/2

step-by-step explanation:

2x=8-5y