Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4?
Answers
Step-by-step explanation:
let the equation be y - y1 = 3/4(x - x1)
sub (4, 1/3):
y - 1/3 = 3/4(x - 4)
therefore answer is option 2.
Topic: coordinate geometry
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Answer:
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]
Step-by-step explanation:
To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.
Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.
Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.
Simplify equation 2
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]
Plug in the point
[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]
This checks out, so equation 2 is your answer.
Related Questions
State if the given functions are inverses. *
Answers
Answer:
i beleive its a yes
Step-by-step explanation:
Whats the slope of the equation 6x + 8y = 16?
Answers
Answer:
-3/4
Step-by-step explanation:
6x+8y=16
(subtract 6x from both sides)
8y=-6x+16
(divide everything by 8)
y=-6/8x+16
(simplify)
y= -3/4x+16
this is now in y=mx+b form. m=slope
Can someone divide these two? I forgot how to over quarantine and it’s my sisters homework
Answers
Answer:
Step-by-step explanation:
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. How many inches are there in 12 meters
Answers
Answer:
1200 centimeters
Step-by-step explanation:
if you have 100 centimeters in 1 meter and there are 12 meters you can just multiply the number of centimeters by 12 or whatever number is needed in this case 12 so when you multiply 12 x 100 you get 1200
what is the answer?
Answers
Answer:
4
Step-by-step explanation:
a triangle has angles that add up to 180°
an equilateral triangle has equal angles
so each angle is 60° (because 180/3 is 60)
so 10x +20 = 60
10x = 40
x = 4
6 3/5 - 1 2/3 = ?
find the answer to the Mix number problem.
Answers
Answer:
4 14/15
Step-by-step explanation:
Please help me It was due a few weeks ago!
Answers
2x – 7 = 5x + 8
solve for x
Answers
Answer:
-5=x
Step-by-step explanation:
2x-7=5x+8
get like terms on the same side
-7-8=5x-2x (I did this in one step hope you understand if not i can explain)
simplify
-15=3x
divide both sides by 3
-5=x
Which of the following represents 2 – 4i?
Answers
Answer:
Graph B
Step-by-step explanation:
edge
Four dice are placed into your hand and you roll all dice onto the floor. What are the odds that all
four dice will show an even number?
Answers
Answer:
0.0625 or 6.25%
Step-by-step explanation:
You have a 50% chance of each die to roll a even. Since you are rolling 4 you need to times them together. So .5*.5*.5*.5=0.0625 or 6.25%
Can you leave a radical in the denominator?
Yes
No
Answers
Answer:
no
Step-by-step explanation:
Traditionally, a radical or irrational number cannot be left in the denominator (the bottom) of a fraction. When a radical does appear in the denominator, you need to multiply the fraction by a term or set of terms that can remove that radical expression.
Write the equation of the line that has the indicated slope and y-intercept.
Slope = 5; y-intercept = 9
Answers
Answer:
slope intercept form: y=5x+9
standard form: x-5/y =-9/5
Step-by-step explanation:
slope intercept form: y=mx+b, m=slope, b=y-intercept
m= 5, b=9 therefore,
y=5x+9
‼️GEOMETRY‼️
What is the approximate surface area of the largest sphere that can fit inside a cube with a side length of 18 inches?
1018 square inches
1356 square inches
4069 square inches
6104 square inches
Answers
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
[tex]SA=4\pi r^2[/tex]
For this formula, we need the radius of the sphere. Divide the diameter by 2:
[tex]\frac{18}{2}=9[/tex]
The radius is 9 inches. Plug this into the equation:
[tex]SA=4\pi *9^2[/tex]
Simplify the equation:
[tex]SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87[/tex]
Round the result to the nearest whole number:
[tex]1017.87[/tex] → [tex]1018[/tex]
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
A collection of triangular and square tiles contain 50 pieces and 170 sides. Write and solve a system to find how many triangular and square tiles there are.
Answers
Answer:
30 triangular tiles and 20 square tiles
Step-by-step explanation:
hope this helps
Consider the equation r = 5 sin(θ). Use the drop-down boxes to complete the sentences.
Answers
The solutions to the blanks are Circle, y-axis and 5 units, respectively.
What is the equation of the circle?The equation of the circle whose center is coordination at (h,k) and radius is r will be
(x -h)² +(y -k)² = r²
where (h,k) is the coordination of its center and r is the radius.
We have,
r = 5 sinΘ
So,
When the center of the circle is at origin (0,0);
Then x² + y² = r²
So,
We have, r = 5 sinΘ
So,
For 0 ≤ θ ≤ π,
The circle is developed above the x-axis and symmetrical about the y-axis (θ=π/2)
The circle has a radius of 5/2, centered at (0, 5/2), so the diameter is 5 units.
And hence the greatest distance between any two points on a graph is 5 units.
Therefore, the solutions to the blanks are Circle, y-axis, and 5 units, respectively.
Learn more about the circle here:
https://brainly.com/question/17357009
#SPJ2
Hello! Please help.
"Find the error & explain why it is wrong."
Answers
Answer: Step E
Step-by-step explanation:
The error is in the last step. In Step D, we see that we're supposed to subtract the second part from the first part. We also see we have the terms 2x-8 in the numerator on the right. Since we're subtracting, the expression should actually be -2x +8. 3 -2x +8 should be -2x +11 which is not the numerator in Step E so the last step is wrong.
What is the constant term in the polynomial expression -7x2 + 32x + 240, and what does it represent?
Answers
Answer:
The constant term is 240. A constant term represents a fixed value. In other words, a term that does not change.
Step-by-step explanation:
In the polynomial expression given, the first and second terms are dependent of x, which means whatever the value x is, the terms will change. For example, if x = 2, we have -7(4) + 32(2) + 240. As you can see the constant never changes because it does not rely on a variable; it is constant.
Solve using elimination
3x+3y=27
x-3y= -11
Answers
Answer:
(4, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertyAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
3x + 3y = 27
x - 3y = -11
Step 2: Solve for x
Eliminate y (add equations): 4x = 16Divide 4 on both sides: x = 4Step 3: Solve for y
Define original equation: x - 3y = -11Substitute in x: 4 - 3y = -11Subtract 4 on both sides: -3y = -15Divide -3 on both sides: y = 52x + 8y = 6
-2x - 8y = -6
Answers
Answer:
zero
Step-by-step explanation:
the answer for this equations is zero , you can message me if you need the proof
Thank you.
Find the first, fifth, and tenth terms of the sequence that has the rule:
A(n)=-8+(n-1)(4)
Answers
Step-by-step explanation:
A(n)=-8+(n-1)(4)
A(1)=-8
A(5)=-8+16
=8
A(10)=-8+36
=18
PLZZ HELP PLZ!!!
1. Draw the points on the graph to represent the solutions.
2. What are the solutions? List them as ordered pairs.
(x,y)
10
3. Based on the graph, would you expect the discriminant
to be positive, negative, or equal to zero?
Answers
Answer:
1. The solutions marked on the attached graph
2.The solutions are (-2, 0) and (6, 0)
3. The discriminant would be positive
Step-by-step explanation:
The solution of the quadratic equation is the values of x at y = 0, which means the points of intersection of the graph and the x-axisThe discriminant is positive if the graph intersects the x-axis at two different pointsThe discriminant is zero if the graph intersects the x-axis at only one pointThe discriminant is negative if the graph does not intersect the x-axisBased on the given graph
1.
Look at the attached figure to see the solutions
2.
∵ The graph intersects the x-axis at points (-2, 0), (6, 0)
∴ The solutions are (-2, 0) and (6, 0)
3.
∵ The discriminant is positive if the graph intersects the x-axis
at 2 different points
∵ The given graph intersects the x-axis at points (-2, 0) and (6, 0)
→ They are different points
∴ The discriminant would be positive
pls help i don't know what it is asking
Answers
Answer:
e=1
Step-by-step explanation:
Is the vertex of the function y-
-1
2 x² - 4
a maximum or a minimum? How can you tell?
a. Minimum, because it is below the x-axis.
b. Minimum, because there is no bx term.
C. Maximum, because the coefficient on za is a fraction smaller than 1.
d. Maximum, because the coefficient on xo is negative.
Answers
what’s the slope of (6,6) and (1,9)
Answers
Answer:
-3/5
Step-by-step explanation:
always remember rise by run. subtract the second y value from the first (9 minus 6) and the same with the x values (1-6). rise is y axis and run is x axis. therefore, you get 3/-5 or -3/5. (because 9-6 is 3 for the numerator and 1-6 is -5 for the denominator)
1/2 +4/7 please help me
Answers
Answer:
next time dont answer my question saying dumb shi
Step-by-step explanation:
What are the coordinates of (2,5) after a reflection of the x-axis?
Answers
Answer:
(2,-5)
Step-by-step explanation:
rule: (x,y) ---> (x,-y)
(2,5) ----> (2,-5)
TRIGONOMETRY (sin,cos,tan)
Solve for x
Answers
Answer:
22.6
Step-by-step explanation:
The cos of any angle is its adjacent over its hypotenuse:
cos 37 = 17.3 / x
We can multiple both sides by x to get x * cos 37 = 17.3 and then we can divide both sides by cos 37 to get x by itself:
x = 17.3 / cos 37
So solving for x, x is equal to about 22.6
these two polygons are similar
Answers
Answer:
w=9
Step-by-step explanation:
Solve using long division
(x^2 – 3x - 40) / (x+5)
Answers
Answer:
X-8
Step-by-step explanation:
Thats it.
Gaston is buying frult at a local grocery store. This table shows the cost per pound of each type of fruit. Match each
quantity of fruit with its total cost. Drag the items on the left to the correct location on the right.
3 pounds of bananas
4.24
4 pounds of grapes
2.37
3 pounds of oranges
1.95
2 pounds of apples
2.68
Answers
Answer:
bananas=$12.72
grapes=$9.48
oranges=$5.85
apples=$5.36
Step-by-step explanation:
To find the total cost for each fruit you would multiply the number of fruit by the cost.
bananas=3*4.24=$12.72
grapes=4*2.37=$9.48
oranges=3*1.95=$5.85
apples=2*2.68=$5.36