This is a two part question and it would really help me if you could solve both! :)
Answers
[tex]\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right[/tex]
Step-by-step explanation:
1.
a) find the midpoint G of the side DE:
[tex]x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1[/tex]
[tex]\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5[/tex]
[tex]\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)[/tex]
b) find the midpoint I of the side DF:
[tex]x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4[/tex]
[tex]\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2[/tex]
[tex]\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)[/tex]
c) the slope of GI:
[tex]x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3[/tex]
[tex]\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}[/tex]
2.
Type of Δ DEF:
a) find the length of the side DE:
[tex]|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units[/tex]
b) find the length of the side EF:
[tex]|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units[/tex]
Hence, DE=EF
c) find the m∠DEF:
[tex]\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\[/tex]
Find the coordinates of the vector by the coordinates of its beginning and end points:
[tex]\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0[/tex]
Related Questions
Determine the prices for which quantity demanded is greater than quantity supplied.
Answers
The prices where the quantity demanded is greater than quantity supplied are :
$ 2$ 1$ 0When is quantity demanded greater than quantity supplied ?Quantity demanded refers to the amount of goods and services that people and businesses in an economy demand.
This amount of goods and services demanded will be more than the quantity supplied when the price of the good or service is less than the equilibrium price.
The equilibrium price here is $ 3 and so the prices less than $ 3 are $2, $1, and $ 0.
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Brianna is making fruit dip. The
recipe calls for 1/2 cup of yogurt
per serving. If the container has
3 cups of yogurt, how many
servings can she make?
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Sadie just got a new puppy. She is supposed to feed it 250 grams of food every day. She wants to buy enough food to last three weeks. How many kilograms of dog food does she need to buy?
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Casey spends $29.00 on coffee each month. About how much dose Casey spend on coffee over 7 months ?
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Answer:
203 dollars
Step-by-step explanation:
29 x 7
y=1200(1+.3)⁶ whats the intial value what the growth rate. what does 6 represent
Answers
Answer:
y=1200(1+.3)⁶
initial value =
y=5792.1708
6 represent time.
Answer:
msm555 is correct
hope it's help you
have a good day
Calculate the volume of a hemisphere with a diameter of 9 feet, rounded to the nearest hundredths
Answers
Answer:
190.85
Step-by-step explanation:
help me please anyone
Answers
9514 1404 393
Answer:
(2x -1) by (x +5)
Step-by-step explanation:
We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...
2x^2 +9x -5
= 2x^2 +10x -x -5
= 2x(x +5) -1(x +5)
= (2x -1)(x +5)
Possible dimensions of the parking lot are (2x-1) and (x+5).
1. What value of x makes the equation 6x - 14+ 3(2x - 1) = 5 - 2(x - 10) true?
Answers
yeet this is a thicc problem...
6x - 14 + 3(2x-1) = 5 - 2(x-10)
first expand
6x - 14 + 6x -3 = 5 -2x-20
now put constants and variables on either sides of the thingamajig
6x+6x+2x= 5 - 20 + 3 + 14
14x = 2
x = 1/7
i deserve an award for that XD
The value x = 3 makes the given equation true.
Important information:
The given equation is [tex]6x-14+3(2x-1)=5-2(x-10)[/tex].Equation:The given equation can be written as:
[tex]6x-14+6x-3=5-2x+20[/tex]
[tex]12x-17=-2x+25[/tex]
Isolate the variable.
[tex]12x+2x=25+17[/tex]
[tex]14x=42[/tex]
[tex]x=\dfrac{42}{14}[/tex]
[tex]x=3[/tex]
Therefore, the required value of x is 3.
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What is the volume of the prism?
14 m3
24 m3
30 m3
44 m
Answers
Answer:
the answer is 24 m3
5 parents and 3 children cost £ 13.20
2 parents and 1 child cost £ 5.10
Find the cost of 1 child
Find the cost of 1 parent
Answers
Answer:
The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:
Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)
Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)
Hope this helps!
Step-by-step explanation:
HELP ME PLEASE!! WILL GIVE BRAINLIEST!!
Answers
Answer:
r = [tex]\sqrt{9}[/tex] or 3
Hope this helps!
PLEASE HELP CUZ IMMA GIVE 50 POINTS
Answers
Answer:
10^14
10^27
10^18
10^6
10^6
10^35
Step-by-step explanation:
all of them are in order
If two powers are being mulitplied from the same base, then they are multiplied. For example, if 10^3 is being multiplied to 10^2, then the answer is 10^6.
If a power is being raised to another power, then the powers are multiplied. For example (10^7)^2 then the a simple form would be 10^14
Exponents get added together when multiplied.
A. 10^9
B. 10^12
C. 10^9
D. 10^5
E.10^5
F.10^12
What is the solution to the equation 9 W 4 )- 7w 5 3w 2?
Answers
The solution to w in the equation 9(w - 4) - 7w = 5(3w - 2) is w = -2.
Now, According to the question:
The given Equation:
9(w-4)-7w=5(3w-2)
To solve for w we first need to simplify our equation, removing any brackets and adding together similar terms. This gives us:
9(w-4)-7w=5(3w-2)
9w - 36 -7w = 15w - 10
2w - 36 = 15w - 10
Next, we subtract 2w from both sides to have all the variables on one side of our equation, then we add 10 to both sides to move the numerical values to one side.
2w - 36 = 15w - 10
2w -2w - 36 = 15w - 2w - 10
-36 = 13w - 10
-36 + 10 = 13w - 10 + 10
-26 = 13w
Finally, we divide both sides by 13 to find the value of w.
w = -2
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The complete question is this :
What is the solution to the equation of 9(w - 4) - 7w = 5(3w - 2).
In our class there are 40 boys. 22 students are girls write a ratio comparing girls to boys
Answers
Answer:
Its 22:40
Step-by-step explanation:
Answer: 22:40
Pretty simple
Step-by-step explanation:
Find the slope and y intercept of each line
NEED HELP ASAP!!
Answers
Answer:
1. slope: -2x
y-intercept:-2
2. slope:4x
y-intercept: 1
3. slope:-x
y-intercept: 4
4. slope: none
y-intercept: none
5. slope: 1/3x
y-intercept: 0
Step-by-step explanation:
1. equation
[tex]y = - 2x - 2[/tex]
2. equation
[tex]y = 4x + 1[/tex]
3. equation
[tex]y = - x + 4[/tex]
4. equation
[tex]x = - 2[/tex]
5. equation
[tex]y = - \frac{1}{3} x + 0[/tex]
Complete the table using the relationship between A and B
Answers
Answer:
Step-by-step explanation:
1) 6.2
2)12.4
3) 18.6
Fractions
Malik and his friends ate 1.
1
--
4
pepperoni pizzas, 2 cheese pizzas, and
2
--
3
of a vegetarian pizza.
a) How many pizzas did they eat?
b) How many more cheese pizzas than
vegetarian pizzas did they eat?
Answers
a) The total amount of pizzas that they ate is given as follows: 2.92 pizzas.
b) The difference between the number of cheese pizzas and the number of vegetarian pizzas is given as follows: 4/3, which is the amount that they ate more of cheese pizzas than vegetarian pizzas.
How to obtain the amounts?The fractions relative to the amount of each type of pizza eaten are given as follows:
Pepperoni pizza: 1/4.Cheese pizza: 2.Vegetarian pizza: 2/3.The total amount of pizzas eaten is given by the addition of these fractions, hence:
1/4 + 2 + 2/3 = 3/12 + 24/12 + 8/12
(as the least common factor between 4, 1 and 3 is of 12).
3/12 + 24/12 + 8/12 = (3 + 24 + 8)/12
(3 + 24 + 8)/12 = 35/12
2.92 pizzas.
The difference between the number of cheese pizzas and the number of vegetarian pizzas is obtained as follows:
2 - 2/3 = 6/3 - 2/3 = 4/3.
(as the least common factor of 1 and 3 is of 3).
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Y’all please help my mind isn’t working please
Answers
Answer:
Step-by-step explanation:
To find values of y we substitute values of x in the given expression so when x = 0
y = (0)^2 - 6(0) + 3
= 3.
x = 1, y = 1^2 - 6(1) + 3 = -2
x = 3, y = 3^2 - 6(2) + 3 = 0.
Use these values to draw the graph
(a) Read this from the graph
Coordinates of the minimum should be 3, -6)
(b) Equation of the line of symmetry is the vertical line through the minimum point ( x = 3).
(c) Read these from the graph.
(the points where the graph cut the x-axis).
(d) and e - read the values from your graph.
A saw mill cuts boards that are 16 ft long. After they are cut, the boards are inspected and
rejected if the length has a percent error of 1. 5% or more. The saw mill also cuts boards that are 10, 12, and 14 feet long. An inspector rejects a board that
was 2. 3 inches too long. What was the intended length of the board?
Answers
Some acceptable board lengths are: 15.8 ft, 16.20 ft and 16.10 feet
Some board lengths to reject are: 14.8 ft, 17.20 ft and 12.10 feetThe intended lengths are 10.19, 12.19 and 14.19 feetNow, According to the question:
Board lengths that should be accepted
From the question, we have the following parameters that can be used in our computation:
Length = 16 ft
Percent error = 1.5%
This means that the acceptable lengths are
Acceptable = Length ± Percent error * Length
Substitute the known values in the above equation, so, we have the following representation
Acceptable = 16 ± 1.5% * 16
So, we have
Acceptable = 16 ± 0.24
Evaluate
Acceptable = 15.76 to 16.24
Some board lengths that should be accepted are 15.8 ft, 16.20 ft and 16.10 feet
Board lengths that should be rejected
In (a), we have
Acceptable = 15.76 to 16.24
Some board lengths that should be rejected are 14.8 ft, 17.20 ft and 12.10 feet
The intended lengths of the boards
Here, we have
Lengths = 10, 12 and 14 feet
Length too long = 2.3 inches
Convert to inches
Length too long = 0.19
So, we have
Intended lengths = (10, 12 and 14 feet) + 0.19
Evaluate
Intended lengths = 10.19, 12.19 and 14.19 feet
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Is the inverse of every linear function also a function?
Answers
In most cases, the inverse of a linear function is also a linear function.
What is a linear function?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function.
Here, stands for the line's gradient and b for the y-axis intercept (which is sometimes called the vertical intercept).
These functions' graphs are mirror images of one another when viewed along the line y=x.
As a result, the points on the graph of f(x) are the points on the graph of f(x) that have been turned around.
A linear function's inverse is typically also a linear function.
Therefore, in most cases, the inverse of a linear function is also a linear function.
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Do the values in the table represent a proportional relationship?
x 2 3 4 5
y 5 6 7 8
Select from the drop-down menu to correctly complete the statement.
All of the y-values
Choose.
a constant multiple of the corresponding x-values, so the relationship
Choose
Answers
Values of x and y in table does not represent a proportional relationship.
From the table x values 2, 3, 4 and 5 corresponds to values of y 5, 6, 7 and 8 respectively. The ratio of x value and y value is
2/ 5 = 0.4
3/ 6 = 0.5
4/ 6 = 2/ 3 ≈ 0.67
5/ 8 = 0.625
As the ratio is not constant, the values in table does not represent a directly proportional.
The value of xy is
2×5 = 10
3×6 = 18
4×7 = 28
5×8 = 40
Again as the value of xy is not constant, so they are not inversely proportionally.
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Simplify. Consider all the cases. |7-(12-x)|
Answers
Answer: |x-5|
Step-by-step explanation:
I dont know how to exlplain it
A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman, sophomore, junior, and senior classes to complete the survey. This plan is an example of which type of sampling
Answers
This method is used when the population has distinct subgroups.
The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.
In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.
This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.
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What is the y-intercept of the equation 16 = x2 - 8x + 16?
Answers
Answer:
I believe Its 16
Step-by-step explanation: In Y=mx+b The y-intercept is always B which in this equation would be 16.
A school fundraiser sells 1,200 raffel tickets each ticket costs 2 there is one grand prize worth 100 and 5 smaller prizes 20each what is the excpeted gain or loss for buying 1 ticket
Answers
the answer is “LOSS OF $1.38” :)
Charlie reads quickly. He reads 1 3/7 pages every 2/3 minutes. Charlie reads at a constant rate: How many pages foes he read per minute?
Answers
In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.
What is Unitary Method ?A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.
In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.
Direct VariationIndirect VariationIn [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages
In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]
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What is the LCM of 72, 96and 160
Answers
Keep dividing the number by 2, 3, 4 etc. (By the lowest value) until you reach 1.
In order to find LCM, take the highest value of all the 3 numbers and multiply them together.
Hope it made sense for you!
The cost of a smartphone is $199. A newer model costs 10% more. Which choice is closest to the sale price of the newer model after a 20% discount? *
Answers
Answer:
$199 + 10% - 20% = $175. 12
hope this helped
Step-by-step explanation:
A square playground has an area of 900 ft.what is the length of each side of the playground
Answers
Answer:
the answer is 225 square feet
Step-by-step explanation:
900÷4=225
Answer:
[tex]Area \ of \ square = l * l = l^2\\900 = l^2\\\sqrt{900} = l\\l = 30ft[/tex]
Since sides are equal both sides are 30ft each
Question Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. f(x)=x4−6x3−8x+48; x−6
Answers
Answer:
(x-2)(x²+2x+4)(x-6)
Step-by-step explanation:
6 | 1 -6 0 -8 48
_____6_0_0_-48__
1 0 0 -8 | 0
As we can see, our remainder is 0, so x-6 is indeed a factor of the polynomial. Also, we can see that the factored polynomial is [tex]x^4-6x^3-8x+48=(x^3-8)(x-6)=(x-2)(x^2+2x+4)(x-6)[/tex]