The line x − y = 2 is on a coordinate plane and contains EF, which is one

side of square EFGH. What is the slope of the line that contains FG?

Answers

Answer 1

Answer:

The slope of the line that contains FG is -1

Step-by-step explanation:

Given

[tex]x -y= 2[/tex] --- equation of EF

Required

Determine the equation of FG

First, we calculate the slope of EF

[tex]x -y= 2[/tex]

Make y the subject

[tex]y = x - 2[/tex]

A linear equation has the form:

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

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = 1[/tex]

In square EFGH, EF and FG are perpendicular.

So, the relationship between their slopes is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1 = m = 1[/tex] --- slope of EF

The equation becomes:

[tex]m_2 = -\frac{1}{1}[/tex]

[tex]m_2 =-1[/tex]


Related Questions

Write the equation of the graph in slope intercept form

Answers

Answer:

1/2x+3

For the slope you have to on the 2,2 you have to go up and over to the next dot on a line and for the y intercept you just have to find it on the line and if it was on the bottom do a -3 rather than a +3.

Find the circumference of a circle with diameter 3 yd. use the value 3.14 for pie and do not round round the answer I’m looking for area and circumference

Answers

Area=pi *r^2 = 7.065 square yards

Circumference = pi * d = 9.42 yards

Describe the relationship between the number of at bats and the number of hits using the data in the scatter plot.

Answers

Answer:

The number of at bats increases, the number of hits also increases

Step-by-step explanation:

Given

See attachment for graph

Required

Relationship between the plots

From the attached graph, we can observe that there is an upward trend in the graph; in other words, when the number of at bats increases, the number of hits also increases

Hence, the relationship between them is that: an increment in at bats causes an increment in hits.

PLEASE HELPP
it isn't 62 I already tried it

Answers

Answer:

112°

Step-by-step explanation:

50 + 62 = 112

Como que c faz conta de raiz quadrada?

Answers

Answer:

could u say it in english and is it a multiple chice?

Step-by-step explanation:

A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?

a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg

Answers

James will need 115.08mg of medicine at the start of day 6.

Opal has an unknown number of
TicTacs. She wants to give an equal-
number to each of her 12 grandkids.
How many M&Ms should Opal give to
each grandkid?

Answers

Answer:

0 no m%m only tictak

Step-by-step explanation:

WILL MARK BRAINLIEST
1. Which of the following would not be enough information to show that a quadrilateral is a parallelogram?
(1) both pairs of opposite sides are congruent
(2) one pair of sides is parallel and the other pair is congruent
(3) one pair of sides is both parallel and congruent
(4) the diagonals have a common midpoint

Answers

Answer:

the answer is 2: one pair of sides is parallel and the other pair is congruent.

Step-by-step explanation:

The one that would not be enough information to show that a quadrilateral is a parallelogram is (2) one pair of sides is parallel and the other pair is congruent.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

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

A quadrilateral in which opposite sides are parallel is called parallelogram.

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

The one that would not be enough information to show that a quadrilateral is a parallelogram is (2) one pair of sides is parallel and the other pair is congruent.

Learn more about congruent triangles;

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Which of the following values does not satisfy the inequality x − 2 ≤ 3?
A 3
B 5
C 7

PLEASEEE HELPPPPPPPPPPPPPPPPP

Answers

Answer:x≤5

Step-by-step explanation:

Answer:

Option C 7.

Step-by-step explanation:

First lets define this symbol ≤.  This symbol mean smaller than or equal to.  So lets put options 3, 5, and 7 into this equation.

3 - 2 ≤ 3  This is correct.

5 - 2 ≤ 3   This is correct.

7 - 2 ≤ 3   This is incorrect.

help now plssssssssss

Answers

Answer:

1) 8

2) -27

Step-by-step explanation:

3 - (-5)

3 + 5

8

-33 - (-6)

-33 + 6

-27

Answer:

Top one is 8.

Bottom one is -27.

Step-by-step explanation:

A double negative equals a positive; therefore, it is essentially 2 + 5

and

-33 + 6

Please answer this question quickly and correctly! It won’t be too long until I have to turn it in!

Answers

Answer: vertical

Step-by-step explanation:

Answer:

vertical lines

Step-by-step explanation:

they make an x

What would your average speed be if it took 2.5 hours to go from Shreveport, LA to Dallas, TX, which is about 156.5 miles?

Answers

Answer:

62.6m/h

Step-by-step explanation:

to find speed you do distance divided by time which in this question would be 156.5 divided by 2.5

and the answer to that is 62.6

Answer:

62.6 mph

Step-by-step explanation:

156.5  / 2.5 = 62.6 mph

For mixed speed journeys finding average is to divide the total distance travelled by the total time spent traveling. This will give you your average speed. . So if travelled 50 mph for 3 hours, 60 mph for 2 hours, and 70 mph for 1 hour, your average speed was about 57 mph.  

what are the X and Y intercepts of 6x-36y= 108

Answers

Answer:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s): (18,0)

y-intercept(s): (0,-3)

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18

Use the formula A = 6s2 to find the surface area of a cube
with sides of length s = 1.5 meters.

Answers

Answer:

[tex]\Large \boxed{\sf 13.5 \ m^2}[/tex]

Step-by-step explanation:

Use formula and substitute s = 1.5

[tex]A=6 \times 1.5^2[/tex]

[tex]A=13.5[/tex]

A shelf is 36 inches long. How many DVD’s can I place on it if each one is 5/8 inches thick?

Answers

we can find this by diving 36 by 5/8
We will use the keep, change, flip rule
So instead of 36 / 5/8
We will calculate as
36 * 8/5
We will first multiply 36 * 8 = 288
Now we have 288/8 = 36
This means 36 DVDs will fit on the shelf

You can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick. To determine the number of DVDs that can fit on a shelf, we need to divide the length of the shelf by the thickness of each DVD.

The shelf is 36 inches long, and each DVD is 5/8 inches thick.

Dividing the length of the shelf by the thickness of each DVD:

36 inches / (5/8) inches

To divide by a fraction, we multiply by its reciprocal:

36 inches * (8/5 inches)

Simplifying the multiplication:

288 inches / 5 inches

Now we can divide:

288 inches / 5 inches = 57.6

Therefore, you can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick.

To know more about approximately:

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At Bike Shop X it costs $2.75 per hour plus a $3.00 deposit to rent a bike. At Bike Shop Z
it costs $1.75 per hour plus a $7 deposit to rent a bike. When would it cost less to rent a bike
from Bike Shop X? Explain.

Answers

Answer:

ok so you see that right away bike shop x is more cost than bike shop z so if you add 2.75 and 3 dollars it would cost 5.75 dollars of course the cost of 2.75 dollars is per hour so you would need to count 2.75 per hour and as you bike shop z the amount of cost per hour is 1.75 but the deposit fee is 7 dollars so the cost would be 8.75.

Step-by-step explanation:

Ok why it is lower cost because as you  see each hour on shop x it is 2.75 and each hour in z shop it is 1.75 why z shop is lower because x shop have bigger cost per hour and that can add up more than z shop.

how to expand 2a²b-ab-a​

Answers

Answer:

[tex]a(2ab - b - 1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = a[/tex]

2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).

[tex]a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} [/tex]

3) Simplify each term in parentheses.

[tex]a(2ab - b - 1)[/tex]

what is the slope of the line represented by the equation y =7 - x?

Answers

Answer:

slope = -1

Step-by-step explanation:

When you put the equation into slope-intercept form (y=mx+b), where m is the slope of the line, you can see that -1 is the slope.

The slope of the line represented by the given equation is -1.

Given the following equation:

[tex]y =7 - x[/tex]    ...equation 1.

To determine the slope of the line represented by the given equation:

Mathematically, the standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]   ....equation 2.

Where:

x and y are the points.m is the slope.b is the intercept.

Equating the two equations, we have:

[tex]y = mx+b = 7-x[/tex]

Comparing eqn 1 and eqn 2, we can deduce that the slope is -1.

Read more on slope here: https://brainly.com/question/18123312

Find the Surface area

Answers

Answer:

A=l×w×h

Step-by-step explanation:

5×5×6×7

1050. or if we add 4 in the solution part 2400

I think it’s what the other person said

Help me please !!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Descending order mean from the largest exponent to the least exponent so the answer will be the first one

Hope this helps :)

Answer:

A

Step-by-step explanation:

Someone please help me. If you answer it I will give you 15 points

Answers

Answer:

C.

Step-by-step explanation:

i THINK it is C because it is in slope intercept or whatever that form is. It creates a straight line with slope, which is, in fact linear.

Answer:

C

Step-by-step explanation:

A is wrong because x is in the denominator.

B is wrong because there is x^3

D is wrong because is a quadratic function

10) An architect is considering bidding for the design of a new shopping mall. The cost of drawing plans

and submitting a model is $10,000. The probability of being awarded the bid is 0.09, and anticipated

profits are

$100,000, resulting in a possible gain of this amount minus the $10,000 cost for plans and a

model. What is the expected value in this situation? Answers without any work shown will

receive no credit.

A) $8000

B) $9000

C) -$1000

D) $8100

Answers

Answer:

-$1000

Step-by-step explanation:

Given that:

Possible gain = 100,000 - 10,000 = 90,000

Loss =. 10,000 = cost of model submission

P(being awarded) = 0.09

P(not being awarded). = 1 - 0.09 = 0.91

X : 90000 _____ - 10,000

P(x) : 0.09 _______ 0.91

Expected value :

Σx*p(x) = (90000*0.09) + (-10,000 * 0.91)

= 8100 - 9100

= - 1000

Express 0.055 in scientific notation.

Answers

Answer:

5.5 × 10-2

Step-by-step explanation:

Help me please please ASAP I am begging someone please

Answers

Answer:

x is greater than -2

Step-by-step explanation:

Kayla uses mental math to find the product of $11.97x5, but she made a mistake.Her steps are shown. Step 1: Round $11.97 to $12. Step 2: multiply $12.00x$5=60 Step 3: subtract $12.00-$11.97 Step 4: subtract $60.00-$3.00=57.00. Select witch one is where Kayla made her first mistake.

Answers

Answer:

Step 4.

Step-by-step explanation:

Given that Kayla uses mental math to find the product of $ 11.97x5, but she made a mistake, and knowing that her steps were the following:

Step 1: Round $ 11.97 to $ 12.

Step 2: multiply $ 12.00x $ 5 = 60

Step 3: subtract $ 12.00- $ 11.97

Step 4: subtract $ 60.00- $ 3.00 = 57.00.

To determine in which one is where Kayla made her first mistake, the following reasoning must be performed:

Rounding from 11.97 to 12 implies a difference of 0.03 that must be multiplied by 5, the result of which is 0.15.

Thus, from the result of 12 x 5 (60), 0.15 must be subtracted, and not 3, as was subtracted in Step 4. Therefore, Step 4 is the one where the error occurred.

Gino is buying wood screws at the corner hardware store. The table shows different numbers of bags of screws and their corresponding prices.

Bags of Screws
Price ($)
2
10
4
20
7
35
According to the table, the relationship between the number of bags and the price is

Answers

Answer:

Step-by-step explanation:

Proprotional is the answer

Answer:

See image

Step-by-step explanation:

Plato

Jimmy Walked a total of 6 miles last week. This week, he walks 2 miles each hour. If he walks 6 hours this week, how many miles will he have walked in all?

Answers

Answer:

18 miles

Step-by-step explanation:

Find how many miles he walked this week by multiplying 2 by 6:

2(6)

= 12

Add this to 6, since he walked 6 miles last week:

12 + 6

= 18

So, in all, he will have walked 18 miles

Find the midpoint of the line segment with the given endpoints. (1, 3), (3, 1)

Answers

Answer:

(2,2)

Step-by-step explanation:

Geometry ,help ya girl outt

Answers

Area = Base x Height
35 = 7 x Height
Height = 35/7= 5ft

A line intersects the points (-22, -14) and (-18, -12). What is the slope-intercept equation for this line? y=x+ [] Simplify the fraction completely.​

Answers

Answer:

y=0.5x-3

Step-by-step explanation:

m=(-12+14)/(-18+22)=0.5

y+14=0.5(x+22)

y=0.5x-3

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