What is the equation of the line that passes through (0, 3) and (7, 0)?
A. (Image 093047)
B. (Image 093055)
C. (Image 093108)
D. (Image 093116)
Answers
Y intercept is positive 3 so it can’t be B or C. To get from (0, 3) to (7, 0) you need to go down 3 and right 7. Image A has the only slope that can do that
Answer:
[tex]y = -\frac{3}{7}x + 3[/tex]
Step-by-step explanation:
In order to find the equation of a line, we need to first find the slope. Slope is represented by the formula:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]
where (x1, y1) and (x2, y2) are point on the line. In this case, we can use the points (0, 3) and (7, 0):
[tex]\frac{0-3}{7-0} = -\frac{3}{7}[/tex]
The point (0, 3) is the y-intercept, so given an equation in the form y = mx + b, 3 would be b and we already calculated the slope, which is m. We can plug these values in to get:
[tex]y = -\frac{3}{7}x + 3[/tex]
Related Questions
The sum of 7/4 and pi i
Answers
Hi! I'm happy to help!
To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
This is how you write it.
If you want to solve it, you need to know what pi is. pi is 3.14159...
It goes on forever, but we cane round to the nearest ten thousandth.
From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4
Now, we solve our equation:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
[tex]\frac{7}{4}[/tex]+3.14159
1.75+3.14159
4.89159
This is what the answer to the expression is.
I hope this was helpful, keep learning! :D
Where do you graph 0, -1 and -1, 0 on a the coordinate plane? Please help asap
Answers
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\vector(1,0){4}}\put(0,0){\vector(-1,0){4}}\put(0,0){\vector(0,-1){4}}\put(0,0){\vector(0,1){4}}\put(0,-1){\circle*{0.5}}\put(-1,0){\circle*{0.5}}\end{picture}[/tex]
View it from web .
What is the cube of the cube root of 27?
Answers
Answer:
[tex] { \sqrt[3]{27} }^{3} \\ we \: can \: solve \: this \: in \: two \: ways \\ 1)cube \: root \: means \: power \frac{1}{3} \\ so \: { \sqrt[3]{27} }^{3} = { {27}^{ \frac{1}{3} } }^{3} = {27}^{ \frac{3}{3} } = 27 \\ 2) { \sqrt[3]{27} }^{3} \\ \sqrt[3]{27} = 3 \\ so \: {3}^{3} = 27 \\ thank \: you[/tex]
Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left. How many containers were consumed in the party?
Answers
Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract
[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).
Your answer is [tex]4\frac{4}{9}[/tex].
List the domain and range of the relation {(1, -9), (8,8), (0, -9), (8, 1), (1,9)}
Answers
Answer:
D={1, 8,0}
R={-9, 8,1,9}
Step-by-step explanation:
Here,
we, know, domain(D) =set of all first elements
thus, D={1,8,0}
again, range(R) =set of all second elements
thus R={-9,8,1,9}
Answer all questions olve the following logarithmic ec 2 log10 x + log103 = log10 75
[tex]2 log_{10}x + log_{10}(3) = log_{10}(75) [/tex]
Answers
Step-by-step explanation:
We can rewrite the left-hand side as
[tex]2\log{x} + \log{3} = \log{3x^2}[/tex]
Here, we used the following properties of logarithms:
[tex]\log{x^a} = a\log{x}[/tex]
[tex]\log{ab} = \log{a} + \log{b}[/tex]
We can then write
[tex] \log{3x^2} = \log{75} \Rightarrow 3x^2 = 75[/tex]
or
[tex]x = 5[/tex]
Jimmy's dog weighed 60 pounds 4 months ago. Since then his weight has increased by 6% How much does Jimmy's dog weigh now
Answers
Answer: 3.6
Step-by-step explanation:
Answer:
63.6 pounds
Step-by-step explanation:
Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.
So 6% of 60 is
[tex]\frac{x}{60} *100=6[/tex]
x=360/100
x=3.6
So Jimmy's dog weighs 60+3.6=63.6 pounds
Solve the equation. 14 = a – 8
Answers
4
=
−
8
14
=
a
−
8
14=a−8
1
4
+
8
=
−
8
+
8
=
2
2
Answer:
[tex]14 = a - 8 \\ \\ - a = - 8 - 14 \\ \\ - a = - 22 \\ \\ a = 22[/tex]
2. A doctor treated 2000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient how many days did the doctor spend to treat all patients?
Answers
Answer:
The answer is 6000 days.
please help Dave drives to work. While driving the car over nine days, he observes his daily average speed and lists it in the table below. Day Average Speed (MPH) 1 45 2 62 3 44 4 70 5 59 6 66 7 54 8 63 9 67 The median speed at which Dave drove to work was __________. 63 miles per hour 59 miles per hour 62 miles per hour 58.89 miles per hour
Answers
The median speed at which Dave drove to work was 62 miles per hour.
To find the median speed at which Dave drove to work, we need to arrange the average speeds in ascending order and determine the middle value.
Sorting the average speeds in ascending order:
44, 45, 54, 59, 62, 63, 66, 67, 70
Since we have nine values, the median will be the middle value when the data is arranged in ascending order. In this case, the fifth value, which is 62, represents the median speed at which Dave drove to work.
Dave drove to work at a median speed of 62 miles per hour as a result.
for such more question on median
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Hence, find the values of y that satisfy the equation 2y-1)2 – 7(y – 1) + 4 = 0.
Answers
Answer:
y=3
Step-by-step explanation:
(2y-1)2-7(y-1)+4=0
4y-2-7y+7+4=0
9-3y=0
9=0+3y
9=3y
9/3=y
y=3
HELPPPP FASTTTT PLEASEEE!!!!!!!
Answers
Answer:
35 mph
Step-by-step explanation:
70/2 = 35
E is the mid point of DF. If DE= 7x. What is the length of DE
Answers
Answer:
I think you're missing information and don't you mean "what's the length of DF?"
Find the quotient.
154 divided by 14
Answers
Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
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I need to know the answer to the two question
Answers
Answer:
Question 1:
78 - 5 - 7
Question 2:
[tex] - \frac{1}{6} [/tex]
jane bought two new skirts for school. one cost 15 less than twice the cost of the total cost for both skirts was 75, what was the cost of each skirt?
Answers
i need to know whether it is the minimum or maximum function and what that number is as well as where x axis intercepts the quadratic graph . i need to know if there are any roots in the quadratic graph, and i need to know when y=1 , the value of x could be x= or x=
Answers
Answer:
The minimum value of this quadratic function is -4.
At the point (-4, 0), the x-axis intercepts with the quadratic graph.
There is 1 root of this quadratic equation.
Approximately, when y=1, the x value could be -5 or -3.
Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
Answers
Step-by-step explanation:
hope it is helpful for you
Use a commutative property to write an equivalent expression.
7x + y
Answers
9514 1404 393
Answer:
y +7x
Step-by-step explanation:
The commutative property of addition lets you swap the order of the two terms:
7x +y = y +7x
The commutative property of multiplication lets you swap the order of the factors.
7x +y = x·7 +y
Root 12 of Rood 12, see attached document
Answers
Britney bought 2 apples, 5 bananas, and 8 oranges at the grocery store.
Which is the ratio of apples to bananas written as a decimal?
Answers
Answer:
2 apples: 5 bananas: 8 oranges
Final answer: 1 apple: 2,5 bananas ( divide by 2 )
Answer:
D.0.8
Step-by-step explanation:
The ratio in mathematics indicates how many times one number contain another. To find this ratio you must make a division of both. numbers. For example the ratio X to Y is X/Y.
As there are 4 apples to 5 bananas, the ratio of apples to bananas is:
4/5=0.8
6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90°. Point P lies inside the triangle such that BP = PC = 5 cm. Find:
a) the perpendicular distance from P to BC
b) the length AP.
GUYS HELP!
Answers
Answer:
Step-by-step explanation:
A shop in the mall is 6 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?
Answers
Answer:
$330
Step-by-step explanation:
To find the total area of the shop do 6 times 11
6*11 = 66 sq. yards
Now, do 5 * 66 because one yard is $5
5 * 66 = 330
It costs $330
Explore
Drag the digits 0 to 9 to the boxes to create an original
rectangle and a scaled copy.
2
9
0
8
Answers
Answer:
I don’t understand this
Step-by-step explanation:
Whats the answer for this question
Answers
Answer:
m+5
Step-by-step explanation:
4m+5-3m
1m+5
Write 7 hundred as a decimal
Answers
Answer:
Step-by-step explanation:
7/100 as a decimal is 0.07.
Answer:
7.00
Step-by-step explanation:
To get a decimal, you move the decimal point to the left twice. If you move the decimal point two times to the left on 700, you would get 7.00.
Ryan, a consumer electronics salesperson, earns a base salary of $1100 per month and a commission of 8% on the amount of sales he makes. One month Ryan received a $1492 paycheck. Find the amount of his sales for the month.
Answers
Determine the equation of the perpendicular bisector of the segment with endpoints (–5, 3) and (5, 5).
Answers
Answer:
y = –5x + 4
Step-by-step explanation:
i had this question
If a set contains 15 proper subsets then number of elements in that set
Answers
Answer
32,768
Step-by-step explanation:
Plane P is a cross-section of the solid below. What shape is the cross section?
A. not enough information
B. rectangle
C. hexagon
D. pentagon
Answers
A rectangle exists as a quadrilateral with four right angles Option B. rectangles the cross section.
What is rectangle?
In Euclidean plane geometry, a rectangle exists as a quadrilateral with four right angles. It can also be described as an equiangular quadrilateral since equiangular compromises that all of its angles exist equal, or a parallelogram including a right angle. A rectangle with four sides of equivalent length exists as a square.
In mathematics, solid geometry or stereometry exists the traditional name for the geometry of three-dimensional, Euclidean spaces. Stereometry accords with the dimensions of volumes of different solid figures, including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bordered by spheres.
Hence,Option B. rectangles the cross section.
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