What is the equation of the line that passes through the point (7,2) and has a slope of 1
Answer:
y=x-5
Step-by-step explanation:
For this, use point-slope formula, which is (y-y1)=k(x-x1), in which k is slope.
Now, substitute in your values. (y-2)=1(x-7)
Then, since you got y-2=x-7, add 2 to both sides.
You get y=x-5
y = x +5 is the equation of the line that passes through the point (7,2) and has a slope of 1.
What is an equation of a line?The equation of a straight line is y=mx+c where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
given, a line that passes through the point (7,2) and has a slope of 1
Since the Slope of the line = 1
From the slope-intercept form of the line
y = mx + c
thus, the Equation of the line
y = 1 * x + c
y = x + c
Since this line passes through coordinates (7, 2 ) this point will satisfy the equation
7 = 2 + c
c = 5
hence, the equation of a line
y = x +5
therefore, the equation of the line that passes through the point (7,2) and has a slope of 1 is y = x +5.
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You know that you can type 164 words every 2 minutes. How many words could you type in an hour?
Answer:
4920 words in 1 hour
Step-by-step explanation:
164 words/2 minutes x 30 minutes= 4920 words in 1 hour
Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. The lengths of the sides of DEF are shown. What is the length of BC?
Answer:
may be it's helpful✌️..........
Applying the triangle midsegment theorem, the length of BC is: 8.
The Triangle Midsegment Theorem?Based on the triangle midsegment theorem, there are three midsegments in every triangle.The midsegments are parallel to each of their corresponding third sides.Length of midsegment = half of the length of the third side.Given:
DF = 4 (midsegment)
BC = ? (Third side).
Therefore,
BC = 2(DF)
BC = 2(4)
BC = 8
Therefore, applying the triangle midsegment theorem, the length of BC is: 8.
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oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. which expression shows how to determine the total cost of oranges?
0. 12.6×0.45
0. 12.6-0.45
0. 12.6+0.45
0. 12.6÷0.45
Answer:I believe it is A
Step-by-step explanation:
You would multiply bc it is a decimal
Isaac walks for 7 miles to the store from his house. He buys candy and a sandwich to eat for lunch. He then
walks home when he is done eating. Explain, in your own words, how we can figure out how many miles he walked in total?
Answer:
14 miles
Step-by-step explanation:
Isaac is walking 14 miles because if it is seven miles to the store, he has to walk seven miles back. Seven plus seven is fourteen.
what is to 2 5/3 in radical form
Solve for x:
15 + 8x = 47
Answer:
The answer is x=4
Step-by-step explanation:
Darnell uses 1 1/4 packages of bread to make 10 bracelets. He make 25 bracelets how packages of breads will he use
Answer:
3 1/8 packages of beads
Step-by-step explanation:
We know that Darnell uses 1 1/4 packages of beads to make 10 bracelets. In order to find how many packages of beads he'll need for 25 bracelets, we set up a proportion:
[tex]\frac{1\frac{1}{4} }{10} =\frac{x}{25}[/tex], where x is the number of packages needed
Cross-multiply:
25 * 1 1/4 = 10x
1 1/4 is just 1.25 in decimal form, so:
25 * 1.25 = 10x
31.25 = 10x
x = 3.125 = 3 1/8
So, Darnell will use 3 1/8 packages of beads.
~ an aesthetics lover
Answer:
We can calculate how many packages he needs to make 5 bracelets and then times that by 5 to see how many he'll need for 25
Step-by-step explanation:
First of all, let's turn 1 1/4 to [tex]\frac{5}{4}[/tex]
Now, if we divide the amount he needs for 10 bracelets by 2, we will have the amount he needs for 5 bracelets:
[tex]\frac{\frac{5}{4}}{2} = \frac{5}{4} * \frac{1}{2} = \frac{5}{8}[/tex]
Now, as 25 divided by 5 is 5, we can multiply our answer by 5 to get the amount needed for 25 bracelets:
[tex]\frac{5}{8} * 5 = \frac{25}{8}[/tex]
Now, we can turn this back into a mixed fraction:
[tex]\frac{25}{8} = 3\frac{1}{8}[/tex]
So the answer is 3 1/8 packages of bread.
I need help graphing -4x + 12y = -24 I'm lazy so I don't want to do it by myself
Answer:
Check out the graph
The function f(x)=2x^2-12x+8 is graphed below. Determine the slope of the secant line of it for each of the intervals indicated in the table.
what happens when u have choice between 6n-1=4n-5
Answer:
n=-2
Step-by-step explanation:
6n-1=4n-5
6n-4n=2n
2n-1=-5
-5+1=-4
2n=-4
-4/2=n
-2=n
tip:its not what you will chose from, its what number will make each side equal to each other
Write an equation of the line that passes through (3,2) and is perpendicular to the line y =
2x-3)
Answer:
u search in your computer but sorry I don't no answer this question
Write 20 as a product of prime factors.
Answer:
1, 2, 4, 5, 10
Step-by-step explanation:
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1
so, 20 = 2 * 2 * 5
So y’all rlly not abt to help me :( I’ve been posting the same thing for 2 days know help a dummy out plzzz
Describe and correct the error in finding the product
Step-by-step explanation:
the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer
simplify (2^5/3^2)^4
(2^5/3^2)^4 = 159.8195
Answer:
52/25
Step-by-step explanation:
2(3y - 6) = 42
Please help thanks :)
Answer:
y = 9
Step-by-step explanation:
Step 1: Write equation
2(3y - 6) = 42
Step 2: Solve for y
Distribute 2: 6y - 12 = 42Add 12 to both sides: 6y = 54Divide both sides by 6: y = 9A marching band stands in a triangle formation. The drum major stands at A, one of the vertices of the triangle. The whole formation marches 3 units left and 5 units up. They then march 2 units left and 2 units up. After the movement, what coordinates will the drum major be standing on? A. (11, 3) B. (11, 11) C. (1, 11) D. (1, 3)
Answer:
D. (1, 3)
Step-by-step explanation:
Based on the image uploaded, during the first march, move point A, 3 units left, the new position will (3, -4), then move point A again 5 units up, the new position will be (3,1).
From second march move point A 2 units left, the new position will be (1,1), finally move point A 2units up, the new position and last position will be (1, 3).
Thus, the drum major be standing on (1, 3)
Answer:
1, 3
Step-by-step explanation: i did it my self and got it right
Can you guys please help !!.
Answer:
It states that when the elevation (Y) goes from 900 to 800 feet, the time (X) transitions from 90 to 120 mintes
the Determine slope of ( 5 , 6 ) and ( 3 , 9 )
A. m = 3/2
B. m = -3/2
C. m= 6
D. m= 1/6
Answer
B
explanation
get the difference between the y valuesand divide it by the difference between the x values
[tex] \frac{9 - 6}{3 - 5} [/tex]
[tex] \frac{3}{ - 2} [/tex]
The slope of the line passing through the points (5, 6) and (3, 9) is -3/2.
Option B is the correct answer.
We have,
To determine the slope between two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (5, 6) and (3, 9), we can substitute the coordinates into the formula:
m = (9 - 6) / (3 - 5)
m = 3 / (-2)
m = -3/2
Therefore,
The slope of the line passing through the points (5, 6) and (3, 9) is -3/2.
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If you have 1 cat,5 dogs, and 2 cows, how many feet you have.
Answer:
32
Step-by-step explanation:
4 + 20 + 8 = 32
hope this helped!!
how do I solve this complex expression-
(5+2i)+(6i^2-3i+2)
Answer:
1-i
Step-by-step explanation:
Hello,
you know that [tex]i^2=-1[/tex], right?
so
[tex](5+2i)+(6i^2-3i+2)\\\\=5+2i-6-3i+2\\ \\=1-i[/tex]
Thanks
The Cost Saver Grocery Club sells sheet cakes. Each 14 sheet of cake requires 0.75 teaspoon of baking soda.
Which expressions can be used to find the amount of baking soda needed for a whole cake? Select all the expressions that apply.
Answer:
2.75 tsp
Step-by-step explanation:
1/4 divided by 0.75
Solve by working backwards
A number is divided by 2 and the result is added to 6. The new result is multiplied by 5, and then 16 is subtracted. The final result is 134. What is the number?
Answer:
48
Step-by-step explanation:
Do everything backwards
134 + 16 = 150
150 divided by 5 = 30
30 - 6 = 24
24 times 2 = 48
Simplify (1-3i)-(2-i)
Step-by-step explanation:
(1-3i)-(2-i)=
1-2-3i+i=
-1-2i
1-2-3i+i
= -1-2i
Step-by-step explanation:
I simplified it in a simple way by arranging like terms together and did the calculation. Here the like term of 1 is -2 and for -3i it's i. so 1-2= -1 and -3i+i= -2i according to integers rule.
Select the correct answer.
The equation of a line is y=-3x - 2. What are the slope and the y-intercept of the line?
A. slope = -3 and y-intercept = 2
B. slope = 3 and y-intercept = -2
C. slope = 3 and y-intercept = 2
D. slope = -3 and y-intercept = -2
Answer: D
Step-by-step explanation:
The slope of a linear equation is the m value in the linear equation y=mx+b, in this case m=-3. The y-intercept is the b value in the linear equation y=mx+b, in this case b=-2.
What is (x+2) times 1 over x ???
Answer:
(x + 2)/x
Step-by-step explanation:
(x + 2) × 1/x
= (x + 2)/x
Question options:
A.-4
B.0
C.4
D.-2
PLS HELP ASAP!!!!!!!!!!!!!!!!!
Answer:
Last option
Step-by-step explanation:
[tex]r^{-7} = \frac{1}{r^{7} }\\ \\s^{-12}= \frac{1}{s^{12} }[/tex]
#
Problem
Use
Answer
1.
9(-5n + 40)
c = 2 and n = 8
Answer:
9(-5n + 40) , c = 2 and n = 8
9[(-5)(8) + 40] - substitute n
9(-40 + 40) - solve parenthesis
9(0) - solve parenthesis again
9 - answer
Step-by-step explanation:
Emily wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with a length of 6m and a width of 2m. She decides on a scale of 1cm to 0.5m. If the kitchen door is 1.2m wide, how wide should the door be on the scale drawing? Be sure to include units
Answer:
2.4 cm
Step-by-step explanation:
The scaled dimension on the drawing [tex]=[/tex] (Scale-factor) [tex]\times[/tex] (Original dimension)
She decides to draw 1cm for the original length of 0.5m=50 cm.
For this, the scaled dimension on the drawing=1cm and
the original dimention=50 cm
So, the scale-factor = 1/50.
As the kitchen door is 1.2m wide, i.e the original width of the door is 120 cm.
So, the scaled width of the door is
[tex]120\times \frac{1}{50}=2.4 cm.[/tex]
Hence, on the drawing, the width of the kitchen door should be 2.4 cm.