a. The line passing through (-5, 10) with a slope of 3 can be parametrized as x = -5 + 3t and y = 10 + 3t.
b. The line passing through (1, -1) and perpendicular to (x, y) = (4, -6) + t(2, -2) can be parametrized as x = 1 + (-1/2)t and y = -1 + (1/2)t.
c. The line passing through (0, 7) and (0, 10) can be parametrized as x = 0 and y = 7 + t.
a. To determine the parametric equations for the line passing through (-5, 10) with a slope of 3, we can use the point-slope form of a line. The equation is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values, we have y - 10 = 3(x - (-5)). Simplifying this equation gives y = 3x + 25. By letting x = -5 + t, we can obtain the parametric equations x = -5 + 3t and y = 10 + 3t.
b. To find the line perpendicular to (x, y) = (4, -6) + t(2, -2), we can use the fact that the slopes of perpendicular lines are negative reciprocals. The given line has a slope of -2/2 = -1. Thus, the perpendicular line will have a slope of 1. Using the point-slope form again with the point (1, -1), we get y - (-1) = 1(x - 1). Simplifying gives y = x. Therefore, the parametric equations for the perpendicular line are x = 1 + (-1/2)t and y = -1 + (1/2)t.
c. The line passing through (0, 7) and (0, 10) is a vertical line parallel to the y-axis. This means that the x-coordinate remains constant. Hence, the parametric equation for x is x = 0. As the line passes through (0, 7), we can let y = 7 + t, where t is the parameter. Therefore, the parametric equations for this line are x = 0 and y = 7 + t.
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simply the expression 3(2x+y)
Answer:
6x + 3y
Step-by-step explanation:
3(2x + y)
6x + 3y
Bet of Luck!
Solve the equation 3/4x-5=x
Answer:
x = -20
Step-by-step explanation:
3/4x-5=x
Subtract 3/4x from each side
3/4x - 3/4x -5=x-3/4x
3/4x - 3/4x -5=4/4x-3/4x
-5 = 1/4x
Multiply each side by 4
4 * -5 = 1/4x * 4
-20 =x
12 -5x 12 2= equals what
Answer:
so assuming you mean 12-5x+12^2 the simplified form of the expression would be 156-5x
Step-by-step explanation:
if this want what you meant let me know and I will try to help
Find the value of x.
x = 7
x = 5
x = 16
x = 34
6. If people help me and i get an 80% or higher on my MATH TEST ill give out 50 POINTS
A. 7
B. 4.8
C. 8
D. 7.5
Answer:
4.8
Step-by-step explanation:
24/5 = 4.8
I WILL GIVE BRAINLY IF 2 PEOPLE ANSWER! I spent 3/4 of my money and then I spent 1/5 of what was left.
What part of all my money do I have left?
Careful, its not how much spent, but left.
Answer:
0.55
Step-by-step explanation:
Answer:
1/20 or 0.05
Step-by-step explanation:
Make common denominators
3/4 --Multiply by 5/5--> 15/20
1/5 --Multiply by 4/4--> 4/20
Then apply to the problem
3/4 spent means 1/4 left
15/20 ---> 5/20 left
Then they spend 1/5 (4/20) of what they have left
(5/20) x (4/20) = 20/400
Simplify
1/20 or 0.05
PLEASE HELP
What is the slope of the line on the graph below? (The bottom number on the picture is 5)
2.
2
1
-2
-1
1 2 3 4 5 6 7 8
X
-2
3
4
9 7 og
-7
Answer:
1/3
Step-by-step explanation:
Take any two points: (3,-4) and (0,-5)
y2 - y1 / x2 - x1
-5 - (-4) / 0 - 3
-1 / -3 = 1/3
Perry paid $145 for 5 tickets. Jackie paid $196 for 7 tickets. Who paid more per ticket?
Answer: Perry
Step-by-step explanation:
Perry pays 29 dollars per ticket and Jackie pays 28 dollars per ticket
what is 16x⁰+2x²×y‐¹ if x=2 and y=4
Answer:
24.25
Step-by-step explanation:
16x^0+2x^2+y^-1
16(2^0)+2(2^2)+4^-1
16(1)+2(4)+0.25
16+8+0.25
24.25
help me jdjfkkdkdkdkdkdkdk
Answer: B
Step-by-step explanation:
Answer:
blivain te poli mas kit juja d
Step-by-step explanation:
In a survey of 2200 people who owned a certain type of car, 1320 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation.
Answer:
Sorry, there are no answers to select from.
Step-by-step explanation:
8. Solve.
Use a proportion to determine how many assistants are employed in an office if there are 32 executives and each executive has an average of 1.5 assistants.
please help
Answer:
48 assistants
Step-by-step explanation:
If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.
Thus:
1.5 assistants to 1 executive = x assistants to 32 executives
1.5 : 1 = x : 32
[tex] \frac{1.5}{1} = \frac{x}{32} [/tex]
Cross multiply
[tex] 1.5*32 = x*1 [/tex]
[tex] 48 = x [/tex]
Therefore, 48 assistants were employed in the office.
Answer:
48
Step-by-step explanation:
Triangles ABC and DEF are similar
a.find the length of segment DF
b.find the length of segment EF
Answer:
DF=2.68
Step-by-step explanation:
Given that the triangles, ABC and DEF are similar to each other, applying the theorem of similar triangles, the length of:
a. Segment DF = 2.68
b. Segment EF = 2.01
Recall the following about Triangles that are similar:
Similar triangles have side lengths that are proportional to each other.The ratio of their corresponding three side lengths are the same.Thus:
Given that [tex]\triangle[/tex]ABC and [tex]\triangle[/tex]DEF are similar, therefore:
AB/DE = BC/EF = AC/DF
Length of Segment DF:
Using AB/DE = AC/DF,
AB = 2
AC = 4
DE = 1.34
DF = ?
Substitute[tex]\frac{2}{1.34} = \frac{4}{DF}[/tex]
Cross multiply and solve for DF[tex]\frac{2}{1.34} = \frac{4}{DF}\\\\DF = \frac{4 \times 1.34}{2} \\\\\mathbf{DF = 2.68}[/tex]
Length of Segment EF:
Using AB/DE = BC/EF,
AB = 2
BC = 3
DE = 1.34
EF = ?
Substitute[tex]\frac{2}{1.34} = \frac{3}{EF}[/tex]
Cross multiply and solve for EF[tex]\frac{2}{1.34} = \frac{3}{EF}\\\\EF = \frac{3 \times 1.34}{2} \\\\\mathbf{EF = 2.01}[/tex]
Therefore, given that the triangles, ABC and DEF are similar to each other, applying the theorem of similar triangles, the length of:
a. Segment DF = 2.68
b. Segment EF = 2.01
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Hey does anyone know what..
4 2/5 divided by 1/4
can anyone help??
Answer:
Alright, we have 4 2/5 / 1/4.
First of all, let's convert the mixed number into an improper fraction.
4 2/5 = 22 / 5
Dividing something by 1/4 is the same as multiplying it by 4.
22 / 5 * 4
This is 88 / 5 :)
Answer:
88/5 = 17 3/5
Step-by-step explanation:
Find the common denominator and simplify. hope it helped.
4 questions.
1. what is the place value of the 0 in 104.037?
2. solve 8.05 x 10x10
3. solve 8.05 x 10x10x10
4. solve 8.06 x 10x10x10x10
Answer:
1. always zero
2. 805.0
3. 8050.0
4.80600.0
Step-by-step explanation:
1.always zero
2. 8.05 x 100 = 805.0
3. 8.05 x 1000 = 8050.0
4. 8.06 x 10000 = 80600.0
The equation y = −3x + 7 represents the amount of water y left in a 7-gallon tub after x minutes. Complete the statements about the graph of the equation.Part A
The graph intersects the x-axis at the point
Choose...
,
Choose...
, which represents
Choose...
.
Part B
The graph intersects the y-axis at the point (
Choose...
,
Choose...
), which represents
Choose...
.
The graph intersects the x-axis at (7/4, 0) and the y-axis at (0, 7).
What is the x-intercept of a slope intercept graph?A slope intercept graph is the graph of a linear equation and it takes the form y = mx + b. The x-intercept is where the graph intersects with the x-axis and the y-intercept is where the graph intersects with the y-intercepts.
From the given information.
y = -3x + 7
here:
Slope (m) = -3y-intercept = 7To determine the x-intercepts, we set the value of y to be equal to zero.
0 = -3(x) + 7
3x = 7
x = 7/3
The graph can be seen in the image attached below and the graph intersects the x-axis at (7/4, 0) and the y-axis at (0, 7).
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DOL: How does dividing integers relate to
multiplying integers?
Answer:
Always multiply or divide the absolute values
Step-by-step explanation:
Answer: The rules for multiplying integers are related to the rules for multiplying integers
Step-by-step explanation:
The table shows the average bill totals for given numbers of diners at Simone’s restaurant. If the rate is constant and you graph this relationship with the number of people along the x-axis and bill amounts along the y-axis, which points will lie on the line you get?
Persons Bill Amount
1
$40
2
$80
7
$280
9
$360
11
$440
(12, 460)
(20, 800)
(24, 1,020)
(27, 1,080)
(28, 1,110)
Answer:
(20, 800) and (27, 1080)
Step-by-step explanation:
Find slope:
m = (y2 - y1) / (x2 - x1)
= 80 - 40 / 2 -1
= 40
Find b, can use any data points above. I'll just pick the first one (1, 40):
y = mx + b
40 = 40(1) + b
b = 0
Use m and b to form equation of a line:
y = mx + b
y = 40x + 0
y = 40x
Use substitution with the points in equation, if they equal then it'll lie on line.
y = 40x
Point (20, 800)
800 = 40(20)
800 = 800
Point (27, 1080)
1080 = 40(27)
1080 = 1080
The other points don't equal so they don't work.
Answer:
b and d
Step-by-step explanation:
c=5(y-8) solve for y
Answer:
The steps to do this :
[tex]c = 5(y - 8)[/tex]
[tex]c = 5y - 40[/tex]
[tex]c + 40 = 5y[/tex]
[tex]y = \frac{c + 40}{5} [/tex]
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Simplify (x + 3)2 + 4
Answer:
2x+10
Step-by-step explanation: First you have to distribute the two, into the parenthesis. Which brings it to 2x+6+4 and then you just combine the 6 and 4 making it a ten so 2x+10
4(x-7)=0.3(x+2)+2.11
Answer:
[tex]x =8\frac{3}{10}[/tex]
Step-by-step explanation:
[tex]4(x-7)=0.3(x+2)+2.11\\\\\mathrm{Multiply\:both\:sides\:by\:}100\\\\4\left(x-7\right)\times \:100=0.3\left(x+2\right)\times\:100+2.11\times\:100\\\\Refine\\400\left(x-7\right)=30\left(x+2\right)+211\\\\\mathrm{Expand\:}400\left(x-7\right):\quad 400x-2800\\\mathrm{Expand\:}30\left(x+2\right)+211:\quad 30x+271\\\\400x-2800=30x+271\\\\\mathrm{Add\:}2800\mathrm{\:to\:both\:sides}\\\\400x-2800+2800=30x+271+2800\\\\Simplify\\400x=30x+3071\\\\\mathrm{Subtract\:}30x\mathrm{\:from\:both\:sides}[/tex]
[tex]\mathrm{Subtract\:}30x\mathrm{\:from\:both\:sides}\\\\400x-30x=30x+3071-30x\\\\Simplify\\\\370x=3071\\\\\mathrm{Divide\:both\:sides\:by\:}370\\\frac{370x}{370}=\frac{3071}{370}\\\\Simplify\\x=\frac{83}{10}\\\\x =8\frac{3}{10}[/tex]
Jaylen read 14% of the items on his recommended reading list. Todd read 1 out of 7 items on his list. Who read a greater percentage of his reading list?
Answer:
Todd (but only by like 0.2%)
Step-by-step explanation:
If you convert 1/7 to a percentage(by multiplying it by 100)
you get 14.285%
Round this off and you get 14.3%
what is 68 + .765 + 2.123
Answer:70.888
Step-by-step explanation:
Plz help! Is this right? Question is below!
Answer:
first one im pretty sure
Step-by-step explanation:
PLEASE HELP
What is the value of x?
499
229
A 24
B. 48
C. 51
D. 96
Please help worth a lot of my grade can’t afford to fail
Answer:
24 is the answer
Step-by-step explanation:
or, 2x = 48
or, x = 48
2
or, x= 24
Shannon started a savings account by putting in $25. On the 1st week she
deposited $15 and plans to continue depositing $15 each week.
What is the recursive formula for the sequence represented by Shannon's
deposits.
Answer: S(w) = $25 + $15*w
Step-by-step explanation:
We can model this with a linear equation:
First, she deposits $25 in the savings account, she does this only one time, then this will be the constant term.
Now in each week, she puts another $15, and does this each week after that.
Then we can write this with the model:
S(w) = $25 + $15*w
Where w is the number of weeks that had been passed since the first deposit.
Consider the following polynomial expression: 4x^5-16x^2+13x^8. Part B: What is the degree of the polynomial
Answer:
8
Step-by-step explanation:
Step 1: Write polynomial
4x⁵ - 16x² + 13x⁸
Step 2: Rearrange
13x⁸ + 4x⁵ - 16x²
The degree of a polynomial is the highest power. In this case, our degree would be 8 because of the x⁸ term being the largest exponent.
two times a number plus three equals one half of the number plus 30. What is the number?
Answer:
17 x 2 = 34
34 = 30 + 4
4 is and -0
Step-by-step explanation:
make-believe starny_xx :0
