Answer:
Step 1: Identify the coordinates of each of the vertices of the triangle.
Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.
Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.
Step-by-step explanation:
Triangle: A triangle is a three-sided geometric figure made by connecting each pair of points in a set of three with straight lines. The points that define a triangle are known as vertices
Main Factoring Special Case Quadratics
[tex]81c {}^{2} - 4 = (9c - 2)(9c + 2)[/tex]
since it is in the form of:
[tex]x {}^{2} - y {}^{2} = (x - y)(x + y)[/tex]
2)
[tex]75x {}^{2} - 27y {}^{2} = (5 \sqrt{3} x - 3 \sqrt{3} y)(5 \sqrt{3} x + 3 \sqrt{3} y)[/tex]
3)
[tex]z {}^{2} + 12z + 36[/tex]
[tex]z {}^{2} + 6z + 6z + 36[/tex]
[tex]z(z + 6) + 6(z + 6)[/tex]
[tex](z + 6)(z + 6)[/tex]
[tex](z + 6) {}^{2} [/tex]
4)
[tex]4f {}^{2} + 18f + 18f + 81[/tex]
[tex]2f(2f + 9) + 9(2f + 9)[/tex]
[tex](2f + 9)(2f + 9)[/tex]
[tex](2f + 9) {}^{2} [/tex]
5)
[tex]49a {}^{2} - 14a + 1[/tex]
[tex](7a - 1) {}^{2} [/tex]
6)
[tex]x {}^{4} - 16[/tex]
[tex](x {}^{2} - 4)(x {}^{2} + 4)[/tex]
Evaluate the expression when x = 3.
x² + 6x - 3
Answer:
X=3
[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]
Abigail had a fish tank that was in the shape of a box. The dimensions were 12 inches deep by 24 inches wide by 18 inches tall. How many cubic inches of water will it take to completely fill the tank?
Show your work
Two sides of an isosceles triangle have lengths 12 and 18. What
is the greatest possible value of the perimeter of the triangle?
Please help me.
The greatest possible value of the perimeter of the triangle is 48
What is the perimeter of a triangle?The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.
An isosceles triangle has 2 equal sides and the length of the 2 sides must be greater than the length of one.
Perimeter A= 12×2+18=42
Perimeter B= 12+18×2=48
Therefore the greatest possible perimeter of the triangle is Perimeter B (48) since the sum of lengths of the two equal sides(18) is greater than the third side (12) and 48 is greater than 42.
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Write x=2 in slope intercept form
When x=a the slope is undefined . And when y is b the slope is zero
If you were writing a two-column proof proving that ANQP APON, which of the following statements would have
"reflexive property of congruence" as its reason?
A. ON ON
B. OP=OP
C. OP=OP
D. NP NP
Answer:
NP NP
Step-by-step explanation:
this is the only solution that works for the question
The cost of 3 scarves is $26.25. What is the unit price?
Answer : $8.75
Answer:
$8.75
8.75x3=26.25
Step-by-step explanation:
Answer:
$8.75
Step-by-step explanation:
To find out the unit price, take the whole and divide it by the number of units. In this case the whole cost is $26.25. There are 3 scarves in a whole. Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75. Knowing how to figure out a unit price for something is very useful. For example, if you wanted to buy some Pepsi but didn't know if the 24-pack, 12-pack or 36-pack was a better deal, you can find out the unit price to see which is cheaper. For example, if the 24-pack of Pepsi cost $5, the unit price per can would be .21. A 12-pack at$ 2.75 would be .22 per can. A 36-pack at $6.50 is .18 per can. This tells you that you'd save more money per can if you bought the 36-pack of Pepsi.
please help if you are good at maths
on the image.
Answer:
x=74
Step-by-step explanation:
if angle ABE = 148. then, angle EBC = 32
and for angle ECB an BEC,
180-32 = 148
148/2 = 74
so, angle ECB and angle BEC = 74
we know, angle BCE and angle CEF are equal because they are alternate angles
so, x = 74
Anyone know this answer too??
Answer:
[tex]x = -21[/tex]
Step-by-step explanation:
[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]
I need help!!!!
The square below has the given side lengths. x is positive
Answer:
Value of X: X=2
Length of One Side: 31
Area: 961u^2
Perimeter: perimeter = 124
Step-by-step explanation:
Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.
Answer:
See below, please
Step-by-step explanation:
This square
[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]
[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex](x + 10) \times (x - 2) = 0[/tex]
Hence,
[tex]x1 = 2[/tex]
[tex]x2 = - 10[/tex]
Because x is positive, So,
[tex]x = 2[/tex]
Then we know
The length of one of the sides
[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]
The area of the square
[tex] = {31}^{2} = 961[/tex]
The perimeter of the square
[tex] = 31 \times 4 = 124[/tex]
Can you help me solve a question?
Answer:
Yeah sure
Step-by-step explanation:
Answer:
Yes what is it?
Step-by-step explanation:
!ask a question
PLEASE HELP What is the area of the trapezoid?
Answer:
Step-by-step explanation:
[tex]\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}[/tex]
a and b are the length of the parallel sides.
a = 8 + 4 + 4 = 16 in
b = 8 in
h = height = 6 in
[tex]Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}[/tex]
The population of Atlanta Georgia in the year 2000 was 417,000 people. If the population increases at a rate of 1.2% each year, find the approximate population of Atlanta in
2020.
Step-by-step explanation:
geometric sequence :
a0 = 417,000
a1 = a0 × 1.012 (that is adding 1.2% for 2001)
a2 = a1 × 1.012 = a0 × 1.012²
an = a0 × 1.012^n
a20 (for the year 2020 after starting in 2000) =
= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...
if we need to round that to a full number, we get
≈ 529,534
our round it to full thousands
≈ 530,000
i don't know what result format you need. please pick the required one.
how many different 3 digit numbers can be formed using the digits 9,3,4,7 and 6? assume no number can be used more than once
Answer:
57
Step-by-step explanation:
976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346
Lee says 20% is more than 70% of 70% of 20. Is lee correct?
Answer:
yes
Step-by-step explanation:
75/100×75/100=49/100
49/100×20=8.58.5 % Is more than 20%
I need the assistance of smarter beings than I..... I'm so lost.....
Answer:
[tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]
Explanation:
first term, a₁ = 1
difference between the terms: -3
used geometric formula : [tex]\bold{\sf a_1 * (r)^{n-1}}[/tex]where "a₁ is first term" and "r refers to common difference"
formula for this nth term: [tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]A two-sample t test of the hypothesis H0: mu1 - mu2 = 0 versus HA: mu1 - mu2 > 0 produces a p-value of 0.03. Which of the following must be true? I. A 90 percent confidence interval for the difference in means will contain the value 0. II. A 95 percent confidence interval for the difference in means will contain the value 0. III. A 99 percent confidence interval for the difference in means will contain the value 0.
Considering the p-value of of the test, it is found that the correct option is:
III. A 99 percent confidence interval for the difference in means will contain the value 0.
What is the p-value and the confidence interval?If the p-value is less than the [tex]\alpha[/tex] level, given by 1 subtracted by the confidence level, it does not contain the value tested at the null hypothesis.If it is more, it contains the value tested at the null hypothesis.In this problem, we have that the p-value is of 0.03, hence the confidence interval will contain the value of 0, tested at the null hypothesis, for confidence levels above 97%, hence option III is correct.
More can be learned about p-values at https://brainly.com/question/13873630
The diagnols of a rhombus are 21 and 16 centimeters long find the area of the rhombus
Answer:
168 cm²
Step-by-step explanation:
The area of a quadrilateral with diagonals that intersect at right angles is half the product of the lengths of the diagonals. A rhombus is one such quadrilateral, so the area of this one is ...
A = 1/2(d1)(d2)
A = (1/2)(21 cm)(16 cm) = 168 cm²
The area of the rhombus is 168 cm².
per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13
Answer:
5 11/13km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
find two z values so that the middle 65% of the area is bounded by them
Answer: Firstly in this question, we need to solve for
α
which is the part of the distribution of which we not looking for.
we can do this with the sum:
α
=
1
−
0.76
=
0.24
as
0.76
=
76
%
we also know that our Standard Normal Distribution is symmetric, so we must divide that
α
to be split on either side of our distribution. so we solve for:
α
2
=
0.24
2
=
0.12
then we find a correlating
z
-score for the value
0.12
and we get that
−
z
=
−
1.175
and
z
=
1.175
This becomes easier to understand when visualized, so observe how we do this sum.
Step-by-step explanation:
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the m
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.
(It is an answer you have to type)
Answer:
distance between moon and sun= y/sin x
Step-by-step explanation:
by use of trigonometric ratios SOHCAHTOA
dat stuff only works on right angled triangles so that is what gave it away
you will use
Sin x= y/distance between moon and Sun
distance between moon and sun= y/sin x
based on my the sketch in my mind hope am right
Elissa needs 8.5 inches of thread to make a friendship bracelet. What is the maximum number of bracelets she can make with 40 inches of thread?
Answer:
4
Step-by-step explanation:
Elissa uses 8.5 inches of thread per bracelet.
She has 40 inches of thread.
To find the maximum number of bracelets she can make, we need to divide.
40 / 8.5 = 4.70588...
We cannot have an unfinished bracelet, so we have to round down.
She can make 4 bracelets with 40 inches of thread.
Answer:
4 bracelets
Step-by-step explanation:
if 8.5 inches makes 1 friendship bracelet
what about 40inches
8.5inches=1 bracelet
40 inches=?
cross mulltiply
40x1
-------
8.5
=4 12/17 bracelets
12/17 of a bracelet is not a complete one
=4 complete friendship bracelets
aaaaaand 4 happy friends
4) Luther works at One Stop Smoothie Shop. At work today, he made 20 Berry Blast
smoothies. In each Berry Blast smoothie, there are 3 strawberries and b blueberries. Write
two expressions that represent the total number of berries in the Berry Blast smoothies that
Luther made today.
The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20
How to write system of equationsLet the number of strawberries be x
Let the number of b berries be y
If at work today, he made 20 Berry Blast smoothies, then;
x + y = 20
SInce x = 3 and y = b, then;
3 + b = 20
The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20
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The diagram shown is two intersecting lines. The measure of 5 is 47°.
a. Using the vertical angles theorem, m∠7 = 47°.
b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.
c. x = 69
What is a Linear Pair?A linear pair is two angles whose sum equals 180°.
Given the image, where:
m∠5 = 47°
a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:
m∠7 = m∠5 = 47°
m∠7 = 47°
b. m∠6 = (2x - 5)°
m∠6 + m∠5 = 180° (linear pair)
Substitute
2x - 5 + 47 = 180 (equation that can be used to solve x)
c. 2x - 5 + 47 = 180
2x + 42 = 180
2x = 180 - 42
2x = 138
x = 138/2
x = 69
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The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3 cm greater than the radius of Circle B. The radius of Circle D is 2 cm less than the radius of Circle C. What is the area of each circle?
Answer:
circle a: 3.14x36= 113.04
circle b: 3.14 x 64 = 200.96
circle c: 3.14 x 121= 379.94
circle d : 3.14 x 81 = 254.34
Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.
and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04
Jennifer is looking to lease a car. bob’s auto has a car available with a money factor of 0.00344. aaa auto has the exact same car available with a money factor of 0.00313. which of the following statements is true? a. the lower money factor with bob’s auto will give jennifer the lowest monthly payment. b. the lower money factor with aaa auto will give jennifer the lowest monthly payment. c. the higher money factor with bob’s auto will give jennifer the lowest monthly payment. d. the higher money factor with aaa auto will give jennifer the lowest monthly payment.
Answer:
B. The lower money factor with AAA Auto will give Jennifer the lowest monthly payment
Find the domain over which the function y = x + 6x is monotonic increasing.
Answer:
x > -3
[tex]\sf (-3, \infty)[/tex]
Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
Vertex
Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]
[tex]\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}[/tex]
Given function:
[tex]\sf y=x^2+6x[/tex]
Therefore, x-value of function's vertex:
[tex]\sf \implies x= -\dfrac{6}{2}=-3[/tex]
Final Solution
The function is increasing when x > -3
[tex]\sf (-3, \infty)[/tex]
solve pls brainliest
Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin currently has $100 in her account. She plans to add $50 per month. 1. Write a system of equations to represent Diego and Lin’s savings accounts.
The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.
How to write equationlet
x = amount added each monthDiego:
6 months ago = $40
Now = $250
250 = 40 + 6x
250 - 40 = 6x
210 = 6x
x = 210/6
x = $35
Lin:
Now = $100
Future = $50 per month
let
x = number of monthsTotal savings= 100 + 50x
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Work out m and c for the line: 2 x + 3 y + 4 = 0
Answer:
18marrsm is waiting for your help.
Add your answer and earn points.
Answer
1
jimrgrant1
Genius
30.5K answers
219.5M people helped
Answer:
m = - , c = -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )
3y = - 2x - 4 ( divide all terms by 3 )
y = - x - ← in slope- intercept form
with slope m = - and y- intercept c = -