What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?

Answer:

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

I took the flvs test, and I actually looked on course hero (a trusted site) and found it was square, then worked the problem out and found out it was actually a square.

Quadrilateral is a polygon with four sides. The specified quadrilateral falls in the category shown by: Option

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

Its a parallelogram but all sides of same length.  Its diagonals are perpendicular bisector of each other, but might not be equal.

That rectangle whose all sides are equal is called a square.

A square has its diagonals perpendicular bisector of each other and are of same length. (this is actually a characteristic property, which means that if a quadrilateral has its diagonals equal and perpendicular, then it is a square for sure).

A square is always a rectangle, parallelogram, a rhombus and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).

The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2 }[/tex](in units)

If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a

For the given case, the coordinates of  the vertices of the quadrilateral are: A(2, 6), B(5, 1), C(10, 4), and D(7, 9)

The diagonals are AC and BD.

Slope of AC = [tex]m_{AC} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4-6}{10-2} = -1/4[/tex]

Slope of BD = [tex]m_{BD} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{9-1}{7-5} = 4[/tex]

It is visible that AC and BD's slope are negative reciprocal of each other. Thus, they are perpendicular to each other. Thus, the quadrilateral is either a square or Rhombus

Now, finding lengths of the diagonals:

[tex]|AC| = \sqrt{(4-6)^2 + (10-2)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]

[tex]|BD| = \sqrt{(7-5)^2 + (9-1)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]

Thus, their lengths are also same,

This is why, the considered quadrilateral is a square.

Learn more about square here:

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Answer:

Step-by-step explanation:

THe answer is true

Answer: We can't see the picture

Step-by-step explanation:

every choice except A quadratic questions

Answer:

The final answer is D) I and II only

Step-by-step explanation:

Think bout what the formula is

y=mx+b

in this case

the slope of the graph is  

5/ 9 , which means that for an increase of 1.

C= 5 /9 (F)

C=

5 /9  (1)= 5 /9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9 /5  degrees Fahrenheit.

Statement II is also true since only answer that has both statement I and statement II as true is D, is not true since 25/81 not 1 degree.

Answer:

C

Step-by-step explanation:

By converting radians 5π /6 into a degree, we get the nearest degree 150.

We can convert radians into a degree by using the formula

Degree = Radians x (180°) / π

To 5π /6 convert radians into a degree,

Degree = Radians x (180°) / π

Degree =  5π /6 x (180°) / π

             = 5 /6 x  (180°)

             = 150°

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Answer: 9

Step-by-step explanation:

Here is the completed question.

Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?

Ratio of sugar and flour = 3:5

Since 15 parts of flour are used, the parts of sugar that should be used will be:

= 15 ÷ 5/3

= 15 × 3/5

= 3 × 3

= 9

Answer:

Looks like at (3,21) the graph intersects, meaning both values are equal to one another.

Answer:

B, B, A

Step-by-step explanation:

I don't know number 4 answer. hope I helped

Answer:

Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test

Answer:

Answer: FIRST OPTION

Step-by-step explanation:

The missing picture is attached.

By definition, given a Quadratic equation in the form:

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

In this case, the exercise gives you this Quadratic equation:

You can identify that the numerical coefficients are:

Therefore, you can substitute values into the Quadratic formula shown above:

You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.

Answer:

x=4

Step-by-step explanation:

10x- 2(3x)=-16

10x-6x=16

4x=16

x=16/4=4

Answer:

1. y=2x+15

2. 45.5 min

Step-by-step explanation:

1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.

2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.

Answer:

x = 58.47

Step-by-step explanation:

Use SOH CAH TOA

Sin(16) = 20/x

x = 58.47

Answer:

Step-by-step explanation:

QN = 17

JQ = 2*QN

JQ = 2* 17

JQ = 34

Step-by-step explanation:

hope this solution will help you

Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

[tex]C = 42[/tex]

[tex]L= 126[/tex]

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

[tex]42 = 2^1 * 3^1 * 7^1[/tex]

[tex]126 = 2^1 * 3^2 * 7^1[/tex]

Hence, the GCF is

[tex]GCF = 2^1 * 3^1 * 7^1[/tex]

[tex]GCF = 42[/tex]

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

[tex]Treats = \frac{C}{GCF}[/tex]

[tex]Treats = \frac{42}{42}[/tex]

[tex]Treats = 1[/tex]

For L:

[tex]Treats = \frac{L}{GCF}[/tex]

[tex]Treats = \frac{126}{42}[/tex]

[tex]Treats = 3[/tex]

Hence, 1 candy bar and 3 lollipops

Answer:

D. it has all the odd number in between 2-20 and in order

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Those are all the odd numbers between 2 and 20

Answer:

yes.. i HATE them!!

ur answer is: either C or D

(not sure..)

Answer: D. 25.12 units3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

so first you need to find the volume of the cylinder which is 100.53

Next, you need to divide the volume by 1/4 which will give you 25.13

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

Answer:

16.4

Step-by-step explanation:

4(5.5 + 6) - 3(6 + 4)

4(11.6) - 3(10)

46.4 - 30

16.4

Answer:

The answer is 16.

Step-by-step explanation:

4(x+6)−3(y+4)

=4x+24-3y-12

=4(5.5)+24-3(6)-12

=22+24-18-12

=46-30

=16

Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

You can use proportion to solve this.

[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]

Answer:

7 pounds.

Step-by-step explanation:

3.60 for 3 pounds

1.20 per pound.

8.40/1.20 = 7 pounds

Answer:

7 13/20

Step-by-step explanation:

Answer:

7 13/20

Step-by-step explanation:

add whole numbers add fraction parts

3+4=7

2/5=8/20

1/4=5/20

8/20+5/20=13/20

7+13/20=7 13/20