Answer:
Answer is TS ≅ HG.
Step-by-step explanation:
When a triangle is rotated the corresponding parts are congruent.
Here we get image triangle S T R when we rotate the triangle G H J. So, the corresponding parts of congruent triangles are congruent.
So, ST = GH
RT= HJ
SR= GJ
<S= <G
<T = <H
<R=<J
According to them, the option TS= HG is correct.
Answer:
C. TS ≅ HG
Step-by-step explanation:
Credits to the person above!!!
Does 82.45 round up to 83?
Answer:no it does not
Step-by-step explanation:
In order for it to round up it would have to be 82.5 or higher.
Answer:
No. To round up to 83 the number has to be 82.5 or higher.
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm designated twice as many associates as partners to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case,x, and the number partners assigned to the case, y.
what are the two equations in slope intercept form so i can graph them
Step-by-step explanation:
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Find the common ratio
6.) -1, -6, -36, -216,
A.) r=5
B.) r=6
C.) r=-6
D.) r=4
Answer:
6
Step-by-step explanation:
try mulyipling each sequence by 6
May someone help me out on this question?
Answer:
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Step-by-step explanation:
From the graph attached,
Equation of line (1),
y = 2
Where x < 0
Let the equation of line (2) is,
y = mx + b
y-intercept 'b' = 0 [line (2) passes through origin]
Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Therefore, equation of line (2) will be,
y = x
where 0 ≤ x < 3
Equation of line (3) will be,
y = 3
Where x ≥ 3
Therefore, piecewise linear function will be,
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
which is an equation for the line passing through the points (-3,3) and (6,9)
Answer:
y=2/3x +5
hope this helps
Answer:
[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
Explanation
[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]
[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]
[tex] \implies \: 9y - 27 = 6x + 18[/tex]
[tex] \implies \: 6x - 9y + 45=0[/tex]
[tex] \implies\:2x-3y+15=0[/tex]
Hence the equation of the line is
[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperature is 350. What is the pressure when the temperature is 70?
Answer:
180psi
Step-by-step explanation:
Step one:
given data
P1= 900 psi
T1= 350°C
P2=?
T2=70°C
Required
The final pressure P2
Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up
Applying the expression
P1/T1= P2/T2
substitute:
900/350= P2/70
2.57=P2/70
cross multiply
P2= 2.57*70
P2=180psi
(6-3i) - (3-4i)
Subtract
The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?
Answer:
60 inches²
Step-by-step explanation:
Unit test
NEED HELP ASAP!
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. TankB
contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how
many minutes will the tanks contain the same amount of water? How much water will
that be?
9514 1404 393
Answer:
5 minutes; 60 gallons
Step-by-step explanation:
The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...
y = 35 +5x . . . . . . where y is gallons, and x is minutes
The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...
y = 100 -8x
We want to find the values of x and y such that both are the same for both tanks.
35 +5x = y = 100 -8x
13x = 65 . . . . . . . . add 8x-65 to both sides of the equation
x = 5
y = 100 -8·5 = 60
Both tanks will hold 60 gallons after 5 minutes.
Write the slope-intercept form of the equation of the line with slope= -3 that passes through the point (0, -9)
Answer:
y=-3x-9
Step-by-step explanation:
Compare the two linear functions.Select which has the greater rate of change and which has the greater initial value.
Answer:
Function 1 is Greater Rate of change and Function 2 is Greater inital value
Step-by-step explanation:
I know I have that question
Answer:
Function 1 = Greater Rate of change
Function 2 = is Greater initial value
Step-by-step explanation:
Which ratio is equivalent to the ratio 20 to 35? 5 to 7 7 to 5 8 to 14 14 to 8
Answer: it’s 8 to 14 number c
Step-by-step explanation:
Let me know if I’m wrong
The ratio equivalent to 20 to 35 is 8 to 14.
Option C is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
20 to 35
This can be written as,
= 20/35
= 5 x 4 / 5 x 7
= 4/7
Now,
5 to 7 = 5/7
7 to 5 = 7/5
8 to 14 = 8/14 = 4/7
14 to 8 = 14/8 = 7/4
Thus,
20 to 35 is the same as 8 to 14.
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Find the sale price of the item. Round to two decimal places if necessary.
Original price: $80.00
Markdown: 33%
Answer:
24$
Step-by-step explanation:
help please i’m stuck lol
Answer:
The answer for this is x=-5
Answer:
x=-5
Step-by-step explanation:
-4x+1=21
move the 1 to the right side and subract it so it will turn into -4x=20
divide -4 to get the x by itself and then you will get x=20/-4 this will now divide and be x=-5
Translate the phrase into an algebraic expression.
The product of y and 4.
Step-by-step explanation:
Product is multiplication:
4y
Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down
Answer:
its c
Step-by-step explanation:
took the test
Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).
Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7), C'(6.-14) , D'(1.-11)
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H E L P PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
138
Step-by-step explanation:
just plug in the numbers:
4*6^2 - 36/6
use pemdas
4*36 - 6 = 144-6 = 138
Answer: The answer is 138.
Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.
Esme wants to make a rectangular pen for her chickens. She has 140 feet of fencing available to use. She wants to put the pen against the side of her barn. In other words, one side of the pen does not need fencing. Determine the maximum possible area she can create.
Answer:
2450 square feet
Step-by-step explanation:
We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.
The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.
The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)
when would a transformation NOT be considered rigid?
Answer:
when the plant at the end dies
PLZZPLZZ ANSWERALL THE QUESTIONS I CANT CELEBRATE CHRISTMAS IF I DONT FINISH PLZ HELP PLZZ LOOK AT THE PIC plzz
Answer:
17: Slope = -5
18: = 1/3
19: = -1/5
20: = Does not exist
21: = 1/4
22: =-2/3
Step-by-step explanation:
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happy Christmas
Solve the following problem: Find x, y
Answer:
x=? y=?
Step-by-step explanation:
these two triangles are similar so since the bottom side was 8 and became 10 it added 2 so therefore if you add 2 to the 5 and 7 you get
5+2=7
7+2=9
The value of 'x' is 5/4 and the value of 'y' is 7/4 and this can be determined by using similar triangle properties.
Given :
Two triangles are given in the figure.
The following steps can be used in order to determine the value of 'x' and 'y':
Step 1 - According to the given figure, both the triangles are similar.
Step 2 - So, the value of 'x' and 'y' can be calculated as:
[tex]\dfrac{5}{5+x}=\dfrac{7}{7+y}=\dfrac{8}{10}[/tex] --- (1)
Step 3 - Now, solve the above equation for 'x'.
[tex]\begin{aligned}\\{\dfrac{5}{5+x}&=\dfrac{8}{10}\\50&=40+8x\\x&=\dfrac{5}{4}\\\end{aligned}[/tex]
Step 4 - Now, solve the equation (1) for 'y'.
[tex]\begin{aligned}\\{\dfrac{7}{7+y}&=\dfrac{8}{10}\\70&=56+8y\\y&=\dfrac{7}{4}\\\end{aligned}[/tex]
The value of 'x' is 5/4 and the value of 'y' is 7/4.
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I WILL GIVE BRAINLIEST TO FASTEST AND BEST ANSWER PLS HELp
Answer:
Unknown
Step-by-step explanation:
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Answer:
The tax was too much for me
Step-by-step explanation:
Sorry, Im a noob
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What is the domain of this quadratic function?
Answer: its c
Step-by-step explanation:
its c
Answer:
(-∞,+∞)
Step-by-step explanation:
The function is a continuous quadratic function
Which of the following sets include all rational numbers?
It's the Second one and the third one
Step-by-step explanation:
Pie is irrational so you can easily cross it off and it leads to to the second one and the third one
Pat has a fever.His temperature is 99.3F. If the conversation is Celsius is C=5/9(F-32), what is the most accurate measurement of Pat’s temperature in degrees Celsius?
Answer:
37.4
Step-by-step explanation:
The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
Given that, Pat has a fever of temperature is 99.3° F.
What is the conversion of Celsius to Fahrenheit?Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.
The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.
The formula to convert Fahrenheit to Celsius is C=5/9(F-32)
Now, C= 5/9 (99.3-32)
= 5/9 × 67.3
= 37.39°
Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
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(picture included) brainliest
which is the graph of x-y=1
Can someone help me please
Answer:
17 inches
Step-by-step explanation:
need helpppp i have no idea what to do
Answer:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Step-by-step explanation:
We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]
where m is slope.
And check
a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]
b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]
Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]
Already in slope-intercept form
Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]
Equation for Line 2: [tex]6x-8y=-6[/tex]
Converting into slope-intercept form:
[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]
Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Equation for Line 3: [tex]-4y=3x+7[/tex]
Converting into slope-intercept form:
[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]
Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Now, finding answers
Line 1 and Line 2
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Both lines are perpendicular because they have opposite reciprocal slopes
Line 1 and Line 3
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
Line 2 and Line 3
Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
The answers are:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
PLEASE HELP FAST ILL GIVE BRAINLIST MAKE SURE YOU READ IT BEFORE YOU ANSWER ITS QUESTION 18
Answer:
D. y=3x+15
Step-by-step explanation:
find the slope
[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]
y=mx+b
plug in known values
3=3(-4) + b
b=15
y=3x+15