Consider the line y=7/4x-4.
Find the equation of the line that is perpendicular to this line and passes through the point (8,2)
Find the equation of the line that is parallel to this line and passes through the point (8,2)

Answer:

452

Step-by-step explanation:

216+151+85=452

Answer:

1/2 feet per second.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Given the results of #5 are ...

  ∠GEF = 120, 150, 155, 135

  ∠FEM = 60, 30, 25, 45

  ∠MEH = 120, 150, 155, 135

  ∠HEG = 60, 30, 25, 45

__

(a) We can see that vertical angles are congruent.

(b) Each of a pair of vertical angles is supplementary to the same angle.

  ∠GEF and ∠MEH are both supplementary to ∠FEM and to ∠HEG

  ∠FEM and ∠HEG are both supplementary to ∠GEF and to ∠MEH

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

===================================================

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

[tex]\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}[/tex]

If we multiply both sides of the second equation by -2, we get this updated system

[tex]\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}[/tex]

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

Answer:

1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph

Step-by-step explanation:

Answer:

0.80mph

Step-by-step explanation:

If 1/5 = 1/4, then:

she swims 1/5 miles for every 1/4 (fourth) of an hour

per hour means 1 hour

we must covert 1/4 to 4/4 (one mile)

1/4 × 4/1 = 4/4

if we multiply by 4/1 to get to 4/4, then we must also multiply by 4/1 for 1/5 miles

1/5 × 4/1 = 4/5

Her unit rate in miles per hour is 4/5 per 1 miles, or 0.80mph

*0.80 = 4/5 because 4 × 20 = 80 and 5 × 20 = 100; 80/100 = 0.80*

Land breeze is the answer

Answer:

both have four sides and equal measures with the opposite side. Parallelograms are slanted while the rectangles are straight.

Answer:

245-125=15w

120=15w

120÷15=w

w=8

Answer:

x = -2 13/15

Step-by-step explanation:

-5(3x+8)-5=-2

start by multiplying out the 5 to the numbers in the parenthesis.

= -15x-40-5=-2

subtract 5 from -40

=15x-45=-2

add the 45 to itself to get rid of it and add it to -2

=15x=43

divide 43 by 15

=2.8666666666 or -2 13/15

Answer:

Step-by-step explanation:

Angle ABC is the sum of angles ABD and DBC as per angle addition postulate

As per given we have isosceles triangles ABD and BCD

ADC is straight angle, therefore:

Answer:

y = 3x + 2

Step-by-step explanation:

First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2

The equation of the line is given by: [tex]y = 3x + 2[/tex]

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

The equation of a line, in slope-intercept formula, has the following format:

[tex]y = mx + b[/tex]

In which

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

[tex]m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3[/tex]

Then

[tex]y = 3x + b[/tex]

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

Point (-1,-1) means that when [tex]x = -1, y = -1[/tex], and we use this to find b.

[tex]y = 3x + b[/tex]

[tex]-1 = 3(-1) + b[/tex]

[tex]b = -1 + 3 = 2[/tex]

Thus

[tex]y = 3x + 2[/tex]

A similar problem is given at https://brainly.com/question/13251894

Answer:

15 + 20

Step-by-step explanation:

Step 1: Write expression

5 × (3 + 4)

Step 2: Distribute 5 to each term

5(3) + 5(4)

Step 3: Simplify

15 + 20

Answer:

13

Step-by-step explanation:

16-3 = 13

Number of parts = 1 + 4 = 5

Sum of all parts = $1000

Each part =

= 1000 ÷ 5

= $200

Money the man got =

= 200 × 1

= $200

Money the woman got =

= 200 × 4

= $800

The womans has $800 as her share .

Total parts = 2 + 1 + 1 = 4 parts

Sum of all parts = 800

Each part = 800 ÷ 4

Each part = 200

Then ,

The woman gets =

= 200 × 2

= $400

Her mother gets =

= 200 × 1

= $200

Her daughter gets =

= 200 × 1

∴ Her daughter receives $200 .

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Answer:

  21.46 mm^2

Step-by-step explanation:

The area of the square is ...

  A = s^2 = (10 mm)^2 = 100 mm^2

The area of the circle is ...

  A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2

Then the shaded area is ...

  100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area

Answer:

10 percent

Step-by-step explanation:

hello,

from this question, it has been stated that the lucky number is 1

from all of these values below we are to account how many times 1 appeared in these numbers have

89064, 27308, 64568 ,14121, 98226, 65388, 58732, 85801, 69902, 78431, 10380, 42006.

the total number of 1 is 6

= 6 x 1 divided by the number of trials 60

= 6 x 1/60

= 0.1

to get the proportion, we multiply 0.1 by 100

0.1 x 100

= 10%

I can't see the whole paper the sentences is cut

4:3 and 16:12

4 times 2 is 8

3 times two is 6 therefore

4:3 has the same value

same with the second except it is 8 and 6 times 2

Answer: A and C

Step-by-step explanation: If you take the ratio and divide both sides by 2, you get the equivalent ratio 4:3. Then if you take the ratio and multiple both sides by 2, you will get the equivalent ratio 16:12. This means that both A and C are equivalent to the ratio 8:6.

Answer:

The answer is 5/6.

Step-by-step explanation:

1/2=3/6, and 1/3=2/6. 2/6+3/6=5/6

The number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here, (a) is the numerator and (b) is the denominator.

We have to find the addition of two fraction number 1/2 and 1/3. Suppose the value which is closest to 1/2 + 1/3 is n. Thus,

[tex]n=\dfrac{1}{2}+\dfrac{1}{3}\\[/tex]

Cross multiply to find the addition of two numbers,

[tex]n=\dfrac{3+2}{6}\\n=\dfrac{5}{6}\\n=0.833[/tex]

Thus, the number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

Learn more about the fraction number here:

https://brainly.com/question/78672

#SPJ2

Answer:

-2x - 10

Step-by-step explanation:

(2x-6) - (4x+4)​    multiply (4x+4)​  by -1   -1(4x + 4) = -4x - 4

2x - 6 - 4x - 4  Re-arrange

2x - 4x - 6 - 4

-2x - 10

Answer:

The right answer is actually $2,435,000.00

Step-by-step explanation:

The reason is because you take 300,000 and times that by 24 then you get 7,200,000 then you take that and times it by 0.10 then you get 720,000 then you add that to the 1,715,000 and you get 2,435,000.

300,000 x 24 = 7,200,000

7,200,000 x 0.10 = 720,000

720,000 + 1,715,000 = 2,435,000

So, $2,435,000.00 is your answer.

The total salary last year was $2,435,000 if a professional baseball player earned $1,715,000 from playing baseball last year.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

A professional baseball player earned $1,715,000 from playing baseball last year.

The total earning from autobiography = 300,000x24

= 7,200,000

The royalty amount = 10% of 7,200,000

The royalty amount = 0.10x7,200,000

The royalty amount = 7,200,00

Total salary last year = 1,715,000 + 7,200,00

Total salary last year = $2,435,000

Thus, the total salary last year was $2,435,000 if a professional baseball player earned $1,715,000 from playing baseball last year.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

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Answer:

  Positive

Step-by-step explanation:

If thinking in the abstract doesn't work well for you, choose a couple of values that match the description:

  a > 0, choose a = 1

  b < 0, choose b = -1

Now, the product is ...

  -4ab = (-4)(1)(-1) = 4 . . . a positive product

__

The product will be positive when the total number of minus signs of the factors is even. Here, there are 2 minus signs, so the product is positive.

Answer:

Length = 12

Width = 8

Step-by-step explanation:

Area of a Rectangle = l x w

12 x 8 = 96

Answer:

[tex]14[/tex] ft

Step-by-step explanation:

Let x be the length of each side

I hope this helps!

please refer to this...............