Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA
Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)
The equation of line m, in point-slope form is: y + 3 = 4(x - 1)
Recall:
The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:
[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]
Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)
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To sign up for cable service, you must purchase the DVR recorder
upfront, then pay $19.95 per month for service. Eight months
after signing up, Martha had paid a total of $288.60 for the
recorder and service. Write and solve a linear equation to find
the total amount she will have paid for the 2-year agreement she
signed.
Helps me please ill give brainliest to the best ! this is supposed to be easy(not for me)
An object oscillates as it moves along the
X-axis. Its displacement varies with time
according to the equation
x = 4 sin(pi t + pi/6)
where t = time in seconds and
x = displacement in meters
What is the displacement between t= 0
and t = 1 second?
Using it's formula, it is found that the displacement between t= 0 and t = 1 second is of 0 m.
The equation of motion is given by:
[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]
The displacement between t= 0 and t = 1 second is given by:
[tex]d = x(1) - x(0)[/tex]
Hence:
[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]
[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]
Then:
[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]
The displacement is of 0 m.
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a farm has chickens and cows all the cows have 4 legs and all chickens have 2 legs. altogether there are 82 cow and chicken legs on the farm.complete the table to show some possible combinations of chickens and cows to get 82 total legs.
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Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee
Answer:
Charyn's coffee is the dearest.
Difference per pound is $0.96.
Step-by-step explanation:
Price per pound = total price / pounds bought
For Danielle this
is 35 / 6 1/3
= 35 / 19/3
= 35 * 3 / 19
= $5.526.
For Charyn this
is 60 / 9 1/4
= 60 / 37/4
= 60 * 4 / 37
= $6.486.
Difference = $0.96.
What is 6 x 3/6 Draw a model of your choice to help you solve.
Answer:
3
Step-by-step explanation:
6×3/6 (the / means ÷)
(6×3) ÷6
18 ÷6
=3
A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe
Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the correct answer from the drop-down menu.
The system of equations is consistent and dependent and it can be determined by using the properties of the equation.
Given that,
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
We have to determine,
The system of equations is consistent and independent, consistent and dependent, or inconsistent.
According to the question,
When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
On adding both the equation,
[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]
Substitute y = 0 to evaluate the value of x.
[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]
The solution of the equation is (1, 0).
Hence, The system of equations is consistent and dependent.
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QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST
Answer:
Step-by-step explanation:
Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B
A straight line passes through points (-1, 5) and (2, -4). What is the law of the function represented by this line?
Answer:
y = -3x+2
Step-by-step explanation:
See attachment.
Find the slope:
Rise = (-4 - 5) = -9
Run = (2 - (-1)) = 3
Slope(Rise/Run) = -3
Find the y-intercept:
y = mx + b
y = -3x + b
5 = -3*(-1)+b [Use point (-1,5)
b = 2
====
y = -3x + 2
Jack is 3 times as old as Lisa. If their ages together is 24, how old are they both?
2x − 4y = -4 , 3x + 2y = 22 solve the system by elimination.
Answer: 5, 7/2
Step-by-step explanation:
2x − 4y = -4
3x + 2y = 22
divide both sides of the equation by 2
x − 2y = -2
3x + 2y = 22
Eliminate one variable by adding the equation; sum the equations vertically to eliminate at least one variable
4x=20
Divides both sides by 4
x=5
Substitute the given value of x into the equation 2x-4y = -4
2*5-4y =-4
solve the equation for y
y=7/2
Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her
bank account and deposits $40 a week.
The week in which Evie would have more money than Weston is the 18th week.
Let this equation represent the amount of money Weston would have in x weeks be: $4000 - $30x
Let this equation represent the amount of money Evie would have in x weeks be: $2800 +$40x
The first step is to determine when they would have the same amount of money:
$4000 - $30x = $2800 +$40x
$4000 - $2800 = $40x + $30x
1200 = $70x
x = 1200 / 70 = 17.14 weeks
After 17 weeks, Evie would have more money than Weston.
Here is the complete question: Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her bank account and deposits $40 a week. When will Evie have more money than Weston (in
weeks)?
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Which expression is equivalent to 5 EXPONENT 4 X5 EXPONENT NEGITIVE 4
Answer:
1Step-by-step explanation:
5⁴ * 5 ⁻⁴ = 5⁴⁻⁴ =5⁰ =1or
5⁴ * 5 ⁻⁴ = 5⁴ / 5⁴ =1Answer plz:
Show work also
Answer:
height 10area 240Step-by-step explanation:
The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.
height² + base² = diagonal²
height² +24² = 26²
height² = 676 -576 = 100
height = √100 = 10
__
The area is the product of the base and height.
A = bh
A = (24)(10) = 240
The height is 10 units; the area is 240 square units.
anyone can have few minutes to help!!
Answer:
i am not sure
Step-by-step explanation:
(ANSWER QUICK!!!) Put the following values in order from least
to greatest.
20, 2-2, (-2)2, -22
Answer:
-22,(-2)2,2-2,20
Step-by-step explanation:
(-2)2=-4
2-2=0
-22,-4,0,20
Answer:
-22,(-2)2,2-2,-20
Step-by-step explanation:
  I need help on 7 and 8 plssssss
or
[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~ [tex] \sf - 2 <y \leqslant 7[/tex]or
[tex] \sf x ∈ (-2 , 7][/tex]HELP PLS! Which of the following expressions is equal to x2 +9?
O A. (x-3)2
O B. (x+3)(x - 3
O C. (x+3)(x-6)
O D. (X+3)2
the answer is B. (x+3) (x-3)
What is -10 5/6 times 8 1/2
Answer:
92 1/12
Step by step explanation:
2616.95 rounded to the nearest tenth
Will mark Brainliest
In questions 6 – 9, state the solutions for the quadratic equation depicted in the graph.
someone who is good a math please answer this today asap will give brainliest
The length of a rectangle is 4 more than its width. The perimeter is 40 feet.
What are the length and width of the rectangle?
Hint: The perimeter of a rectangle is given by the formula P = 2l + 2w.
The width is 8 ft and the length is 12 ft.
The width is 13 ft and the length is 7 ft.
The width is 7 ft and the length is 13 ft.
The width is 12 ft and the length is 8 ft.
Answer:
the Answer is C
Step-by-step explanation:
We are given –
The perimeter is 40 feet and the length of a rectangle is 4 more than its width. Let the length be " l " and the width be " w ".As we know that –
Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]
Perimeter = 2 (l + w) unitsArea = lb sq.unitsAccording to the question –
Width = w feet Length = w+4 feet[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]
Width of perimeter is = 8 feetSubstituting the value of w–
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]
[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]
Henceforth, The width is 8 ft and the length is 12 ft.__________________________________________
The slope of a line is −3, and a point on the line is (4,−1).
Question 1
Part A
What is the equation of the line expressed in slope-intercept form?
Answer:
Y= -3x + 11
Step-by-step explanation:
Y= -3x + 11 (-3x is your slope and 11 is your y intercept)
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.
Answer:
432 characters
Step-by-step explanation:
There are 36 inches in a yard, so there will be 36 times 12 characters:
(36 in/yd)(12 char/in) = 432 char/yd
432 characters can be expected per yard of text.
Please someone help, I want to know if I’m correct
Answer:
Yes youre correct
Step-by-step explanation:
help me with this pls
Answer:
Yes they both = 125
Step-by-step explanation:
What percent of the respondents preferred dark chocolate or milk chocolate?
Write your answer using a percent sign (%).