Answer:
B) The slope is negative 1/2 and the y-intercept is (0, 3).
Step-by-step explanation:
First we rewrite the equation so we can easily find the slope and y-intercept. We do this by isolating the y-term:
2x+4y = 12
We want to subtract 2x from each side:
2x+4y-2x = 12-2x
4y = 12-2x
4y = -2x+12
Now we divide both sides by 4 (everything on both sides gets divided!):
4y/4 = -2x/4 + 12/4
y = -2/4x + 3
y = -1/2x + 3
The slope is -1/2 and the y-intercept is 3 (the point (0, 3)).
Her graph shows the y-intercept at (0, 3); this part is correct.
The graph also shows we go down one and over two between points; this is a slope of -1/2, which is correct.
Pink, purple, red. If these colors would go in order, each used twice, what are all the possible combinations that can be made??
1/ 4 of a pizza is split equally between 3 sisters. How much of a whole pizza will each sister get?
A meteor crater is 3900 feet in diameter. Approximate the distance around the crater. Use 3.14 for π.
Explain one relationship between capacity and fluid ounces
PLZ HELP FAST!!!!!!!
The triangles are similar. The area of the larger triangle is 729 cm².
What is the area of the smaller triangle?
10.5 cm²
31.5 cm²
67 cm²
81 cm²
How many different triangles can be constructed with side measurements 6 centimeters, 9, centimeters, and 13 centimeters?
1.exactly one triangle
2.more than one triangle
3.no triangles
If you could answer as fast as you can that would be great please
Each side of the square below is 20 centimeters. The area of the circle inside the square is about 314 square centimeters.
a.43/200
b.43/157
c.157/200
d.200/157
Answer:
It would be 157/200
Step-by-step explanation:
The gent in the comments
HELP EXPERTS AND GENIUSES PLS HELP
What is the best approximation for the circumference of a circle with a radius of 45 cm?
Use 3.14 to approximate pi.
1:70.65 cm
2:141.3 cm
3:282.6 cm
4:6358.5 cm
Answer:
282.6
Step-by-step explanation:
In the figure, point B is the midpoint of AC. Use the figure to answer the questions.
(a) Jeremy says that ABD is congruent to CBD by the SAS congruence postulate. Do you agree or disagree? Explain.
(b) Suppose it is also known that AD is congruent to CD. Which postulate or theorem can be used to prove that ABD is congruent to CBD? Justify your answer.
Answer:
A is true
B = SSS OR RHS
Step-by-step explanation:
bcoz both can be applied here
Jeremy's statement that triangle ABD is congruent to triangle CBD by the SAS congruence postulate is incorrect.
If we are also given that AD is congruent to CD, then we can use the SSS congruence postulate to prove that triangle ABD is congruent to triangle CBD.
Answer to part (a)
I disagree with Jeremy's statement that triangle ABD is congruent to triangle CBD by the SAS congruence postulate.
The SAS congruence postulate states that two triangles are congruent if they have two pairs of corresponding sides congruent and the included angle congruent.
In this case, we have two pairs of corresponding sides congruent (AB = BC and AD = CD, since B is the midpoint of AC). However, we are not given that the included angle (angle ABD) is congruent to angle CBD.
Therefore, we cannot use the SAS congruence postulate to prove that triangle ABD is congruent to triangle CBD.
Answer to part (b)
If we are also given that AD is congruent to CD, then we can use the SSS congruence postulate to prove that triangle ABD is congruent to triangle CBD.
The SSS congruence postulate states that two triangles are congruent if they have three pairs of corresponding sides congruent.
In this case, we have three pairs of corresponding sides congruent (AB = BC, AD = CD, and BD = BD). Therefore, we can use the SSS congruence postulate to prove that triangle ABD is congruent to triangle CBD.
For more such information on: SAS congruence
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What is the median value of the data set shown on the line plot?
The answer is 6. I'm just adding this to help anyone else struggling with this quiz.
which equation represents the pattern in the table below?
[tex]s = c + 4[/tex]
[tex]s = 4c[/tex]
[tex]c = s + 4[/tex]
[tex]c = 4s[/tex]
Answer:
[tex]c=s+4[/tex]
Step-by-step explanation:
We are given that a pattern in the table
We have to find which equation represents the pattern in the table.
Sail=3
Carrie's age=7
Let s be the sale's and c be the carrie's age
Sail=3
Carrie's age=7
Carrie's age=3+4
Sail=5
Carrie's age=9
Carrie's age=5+4
Sail=8
Carrie's age=12=8+4
Sail=13
Carrie's age=13+4
Sail=15
Carrie's age=19=15+4
Hence, [tex]C=S+4[/tex] is an equation which represents the pattern in the table.
Answer:[tex]c=s+4[/tex]
Select the statement that correctly describes the solution to this system of equations.
–3x + 2y = –22
–5y = –4x + 27
A
There is no solution.
B
There are infinitely many solutions.
C
There is exactly one solution at (8, 1).
D
There is exactly one solution at (1, 8)
How to do this cause I am confused
A trapezoid has an area of 24 square meters. The length of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid?
Victor Hernandez has a credit card that bases its finance charge on the average-daily-balance method-new purchases included. His monthly periodic rate is 2.9% and his finance charge for the most recent billing cycle was $37. Find his average daily balance.
Quadrilateral ACEG≅Quadrilateral NMRP Which statement is true?
A:
EG≅MN
B:AC≅MR
C: AG≅NP
D:CE≅NP
pls help
Final answer:
The true statement given that quadrilateral ACEG is congruent to quadrilateral NMRP is D: CE≡NP, which matches the corresponding sides based on the order of the vertices in the name of each quadrilateral following CPCTC.
Explanation:
If quadrilateral ACEG is congruent to quadrilateral NMRP, then corresponding parts of congruent polygons are congruent as well. This principle is often abbreviated as CPCTC (Corresponding Parts of Congruent Triangles are Congruent). Applying this rule, we need to match each vertex of quadrilateral ACEG to the corresponding vertex of quadrilateral NMRP.
To determine which statement is true, we need to compare the corresponding parts:
EG≡MN: This would be true if G corresponded to N and E to M, which would make EG and MN opposite sides.AC≡MR: This would imply that A corresponds to M and C to R, which are not opposite each other based on the naming of the quadrilaterals. This is not correct.AG≡NP: For this to be true, A would have to correspond to N and G to P. But again, A and G are not opposite vertices so this can't be true.CE≡NP: If C corresponds to N and E corresponds to P, then CE and NP would be equivalent and therefore congruent. Since there are four sides, the connecting letter should signify that C corresponds to N, and E to P, making this the correct correspondence.Hence, the correct statement based on the information given and the application of CPCTC is D: CE≡NP.
find the measures of the numbered angles in each figure
Which orderer pair can be removed so that the resulting graph represents a function? (-2,2) (1,3) (5,-4) or (-4,-4)
It will be B. (1,3)
Hope this helps!
Which of the following represents the most accurate estimation of 375+147
What is the circumference of a circle with a radius of 6.1 centimeters?
Enter your answer as a decimal in the box. Use 3.14 for pi. Round your answer to the nearest tenth.
cm
please help
Justin drove at a steady speed of 60 miles/hour. Write an equation to represent the relationship between the total distance Justin drove, 'd', in a certain amount of time, 't'. Which value is the dependent variable? Which is the dependent variable? Which is the independent variable? Explain.
Answer:
60d+t=
Step-by-step explanation:
what the answer
Please help offering All my pts and brainliest answer
(06.02 LC)Which of the following algebraic expressions can be used to express the statement "one less than x squared?"
1 − x2
x2 − 1
1 − 2x
2x − 1
Algebraic expression can be used to express the statement one less than x squared is option (B) [tex]x^{2} -1[/tex]
What is Algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.
Given,
one less than x squared is
[tex]x^{2} -1[/tex]
Hence, the algebraic expression can be used to express the statement one less than x squared is option (B) [tex]x^{2} -1[/tex]
Learn more about Algebraic expression here
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how much should Lauren, earning 7.80 an hour, make working a 44-hour week?
Answer:
343.2
Step-by-step explanation:
7.8*44=343.2
Please help!!!
What sum of money will yield a simple interest of Rs.1155 in 3 years 6 months at 11% per annum .
Answer:
Rs.833.94
Step-by-step explanation:
To solve for the sum of money or principal, we use the formula:
[tex]P=\dfrac{A}{1+rt}[/tex]
The current variables we have are:
A = Rs.1,155
r = 11% or 0.11
t = 3.5
Now let's plug the variables into the formula.
[tex]P=\dfrac{A}{1+rt}[/tex]
[tex]P=\dfrac{1,155}{1+(0.11)(3.5)}[/tex]
[tex]P=\dfrac{1,155}{1+0.385}[/tex]
[tex]P=\dfrac{1,155}{1.385}[/tex]
[tex]P=Rs.833.94[/tex]
What is the area, in square feet, of the shaded region?
What is the area, in square feet, of the nonshaded region?
The first person who answers correctly gets thanks and braniy!
1. The figures shown are similar. What is the scale factor? [Image one]
2. The figures shown are similar. What is the scale factor? [Image 2]
A navigator plots the course a plane is currently traveling. The plane is 300 miles from its destination. If it continues on its current course it will travel 325 miles and end up 125 miles due south of its destination. To the nearest degree, how many degrees is the plane off course?
The plane in question is approximately 23 degrees off course. This calculation is derived from the tangent function in trigonometry based on the distances given.
Explanation:From the question, we understand that the plane is creating a right triangle due to its off-course direction. Using the Pythagorean theorem, the length of the hypotenuse, or the distance that the plane will travel, is 325 miles. The difference between the direct route (300 miles) and the off-course southern distance (125 miles) forms the two other sides of the triangle.
However, we're looking for the angle, not the sides. This is where trigonometry comes in. Specifically, the tangent function will be valuable here as it involves the opposite and adjacent sides of a right triangle (the off-course southern distance and the direct route distance). If we let the 'off-course' angle be θ, then we have:
Tan(θ) = (distance south / direct distance) = (125 miles / 300 miles)
In order to find the angle θ from this equation, we'll need to use the inverse tangent function.
θ = atan(125/300) = 22.61986495 degrees.
Therefore, to the nearest degree, the plane is approximately 23 degrees off course.
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which translation maps the graph of the function f(x)=x^2 onto the function g(x)=x^2-6x+6
Answer:
Translation from (0,0) to (3,-3), 3 units down, and 3 units to the right.
Step-by-step explanation:
The Geometric Transformation called Translation of this parabola f(x)=x² is obtained, firstly by shifting it down 3 units simply adding -3 units as the independent term.
The Translation of the Parabola is counted by its vertex. y=x² (0,0) to y=x²-6x+6 (3,-3).
Algebraically:
So, f(x)=x² -3
Looking at g(x)=x²-6x+6, we still need to make it down after the curve intercept y-axis. b<0
Then, let's shift it three units to the right so its vertex hit the point 6, as y-coordinate, we have to add -3. If we want to add to the right sum negative value, then square it:
y= (x-3)²-3
y=x²-6x+9-3
y=x²-6x+6
Michaela caught 3 fish, which weigh a total 19 1/2 pounds. One fish weighs 7 5/8 pounds and another weighs 5 3/4 pounds. How much does the third fish weigh?
I need help simplifying this: √289