The required angles from smallest to largest are m<M < m<L < m<K
Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)
The angle opposite the side KL is m<MThe angle opposite the side KM is m<LThe angle opposite the side LM is m<KGet the measure of KL, KM and LM using the distance formula as shown:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]
For the length KL with coordinate points K(-2,-2), L(2, 6)
[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]
For the length KM with coordinate points K(-2,-2), M(7, -2)
[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]
The length LM with coordinate points L(2,6), M(7, -2)
[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]
From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K
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If f(x)= x2 - 4x - 4, find the input values that make the function 0.
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)
Data were collected regarding the prices plumbers charge for their services in a certain
area. Most of their charges include a flat fee and then an hourly charge. Based on the
data gathered, the amount, A, a plumber charges for t hours of work can be modeled
by the equation A = 50 + 80t. Which statement is correct?
Using the linear function, it is found that the correct option is given by:
On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.Linear functions modeling a cost have the following format:
[tex]C(t) = C(0) + at[/tex]
In which:
C(0) is the flat fee.a is the cost per unit of time.In this problem, the cost for t hours of work is modeled by:
[tex]C(t) = 50 + 80t[/tex]
Which means that the correct statement is:
On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
cupcakes The equation y = 2x models the cost for cookie orders from the Dotted Box Bakery, where x is number of cookies and y is cost in dollars. What is the cost per cookie?
Answer:
y=-4x+16
Step-by-step explanation:
5x+1.25=20
y=4x
5x+1.25y=20 y=4x
1.25y=-5x+20
1.25y/1.25=-5x+20/1.25
HELPPP my winter break packet is confusing
Answer:
Step-by-step explanation:
318 / 40 = 7.95
each store got 7 boxes of milk
40 x 7 = 280
318 - 280 = 38
38 boxes got stored
so
true
false
false
true
7. (6 points) Sam can paint a house in 3 hours. When Sam and Jordan work together, they can paint
2 houses in 5 hours. If Jordan works alone, how long will it take for Jordan to paint one house? Show
all work, and write your final answer as a fraction with units.
Answer:
1/3 +1/5 per hour
Step-by-step explanation:
hope i helped sorry if i didn't
Yovani can do 8 math problems in 1 3/5 of a
minute. How many problems can he
complete per minute?
Answer:
5 Problems
Step-by-step explanation:
Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]
Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]
Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]
Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]
Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]
Cross out the common factor: 5
get the result: 5
Answer: 5
Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches.
Answer:
12
Step-by-step explanation:
3 square root of 2 equals 12
Just help me on 6 and 7 please
6) [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]
7) [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]
ok done. Thank to me :>
a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items
Profits are simply the difference between the selling price and the cost price of an item.
The expression that represents the total profit is 3850x - 22100
The profit (p1) on the first item is given as:
[tex]p_1 = 2000x - 10500[/tex]
The profit (p2) on the second item is given as:
[tex]p_2 = 1850x - 11600[/tex]
So, the total profit (p) on the sales of both items is:
[tex]p = p_1 + p_2[/tex]
Substitute known values
[tex]p = 2000x - 10500 + 1850x - 11600[/tex]
Collect like terms
[tex]p = 2000x + 1850x- 10500 - 11600[/tex]
[tex]p = 3850x-22100[/tex]
Hence, the expression that represents the total profit is 3850x - 22100
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1943 divided by 67.Show steps please.
Answer: Long Division Calculator with Decimals
look this up see if it helps
Step-by-step explanation:
Plot /\ABC: B(-1,-1), and C(4,-1)
——JUST LOOK AT PHOTO AND PLEASE HELP
Answer:
i dont know sry
Step-by-step explanation:
:)
If the measure of central angle is 57 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)
If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.
Recall:
The image attached below shows the relationship between the measure of the central angle and its intercepted arc. Measure of central angle = its intercepted arc.Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.
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Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.
Answer:
The correct expression that can be represented by n decreased by thirty-one is n - 31
let
The unknown number = n
n decreased by thirty-one
= n - 31
If n = 29
n - 31
= 29 - 31
= -2
The correct expression is 31-n.
False
This is a subtraction expression.
True
This is an addition expression.
False
To evaluate, substitute 29 for the variable in the expression
True
To evaluate, substitute 31 for the variable in the equation.
False
To evaluate the expression, add 31 to 29.
False
The correct expression is n - 31
True
To evaluate the expression, subtract 31 from 29.
True
Step-by-step explanation:
the answer is a b e g f hop this helps u
what is -25pi over 12 in degrees
Answer: 0=75degrees
Have a Great Day/Night
What is the slope of the line that passes through the pair of points?
(-7,8), (-4, 20)
0 -4
0.25
0.33
Answer:
4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(20-8)/(-4-(-7))
m=12/(-4+7)
m=12/3
m=4
Given the function f(x) = 10x + 8, find each of the following.
f(7)=
f(-8)=
f(0)=
Answer:8
Step-by-step explanation:
Answer:
f(7)
Step-by-step explanation:
i am pretty sure i am not in highschool so just give me a thanks i am in 6 grade happy rest of the day
what two integers are between the cube root of 12
Answer: 2 and 3
Step-by-step explanation:
The cube root of 12 is 2.28942848511, so it is between the integers 2 and 3.
PLEASEE HELPP!
Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.
Transformation involves changing the position of a shape
The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex](a) The sequence that maps both triangles
From the figure the coordinates of both triangles are:
[tex]A = (-5,0)[/tex]
[tex]B = (-2,1)[/tex]
[tex]C = (-4,2)[/tex]
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Start by reflecting triangle ABC across the y-axis.
The rule of this transformation is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A = (5,0)[/tex]
[tex]B = (2,1)[/tex]
[tex]C = (4,2)[/tex]
Next, translate the triangle 1 unit left and 2 units down
The rule of this transformation is:
[tex](x,y) \to (x,-1,y-2)[/tex]
So, we have:
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units
(b) The ordered pair rule
In (a), we have:
[tex](x,y) \to (-x,y)[/tex] ---- reflection
[tex](x,y) \to (x,-1,y-2)[/tex] --- translation
Combine both transformations, so we have the following ordered pair:
[tex](x,y) \to (-x,-1,y-2)[/tex]
Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]
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please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?
theres question marks where the exponent is supposed to go
a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet
Need help due in 1 min!!
Simplify!!
Answer:
C. 3^9
Step-by-step explanation:
You would simply just add the exponents.
Answer:
3^9
Step-by-step explanation:
5+4=9
Evaluate the determinate:
I -6 -6 1 I
I 3 -5 -2 I
I 4 3 -3 I
Please show all work, I give Brainliest.! :)
Answer:
103
Step-by-step explanation:
detailed explanation is in the diagram above
Which equation represents a line that is perpendicular to y = 3x - ?
Answer: y=-1/3x+4
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:
y=mx+b
y=3x-4
m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:
Therefore, y=-1/3x+4 is the correct answer.
Hey! Please help me
Answer:
Exact: 10.08
To 1 decimal place: 10.1
Step-by-step explanation:
Just ask.
Hope this helps.
Questions 1 3 5 7 range and graph not needed
Answer:
thx for the 25 points, I know you meant to give it to me(≧▽≦)
Find the slope of the line going through the points (-4, 13) and (8,-11).
Answer:
The Slope is -2
Step-by-step explanation:
The entered points belong to a decreasing, linear function.
Equation: y = -2x + 5.
Answer:
Slope = -2
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\left(x_1,\:y_1\right)=\left(-4,\:13\right),\:\left(x_2,\:y_2\right)=\left(8,\:-11\right)\\m=\frac{-11-13}{8-\left(-4\right)}\\\mathrm{Refine}\\m=-2[/tex]
8. Select all the expressions that represent "10% more than x."
A. 10 + x
B. 0.10 + x
C. 0.1x + x
D. 0.1x + 10
E. 1.1x
F. X(1 + 0.1)
Answer:
B
Step-by-step explanation:
10/100 = /0.1. it should be more than x so add x to it to be 0.1+X
find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)
Colton wants to buy a trampoline in 2 months the trampoline costs $228,
if he saves each month how much will he have to save each month?
Answer:
114 each month
Step-by-step explanation:
Answer:
114
Step-by-step explanation:
228 divided by 2 = 114
Use the zero product property to find the solutions to the equation x2 â€"" 15x â€"" 100 = 0. X = â€""20 or x = 5 x = â€""20 or x = â€""5 x = â€""5 or x = 20 x = 5 or x = 20.
The values for [tex]x[/tex] are -5 and 20
Given to us:
[tex]x^2-15x-100=0[/tex]
In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.
for that you can take the LCM of 100 and check all factors of 100.
for example,
factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.
from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,
[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]
taking out common terms, we get
[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]
to find out the value of [tex]x[/tex] equating both the factors with 0, we get
[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]
Hence, the values for [tex]x[/tex] are -5 and 20
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Answer:
C or x=-5 or x=20
Step-by-step explanation: