Given:
The equation of line is
[tex]y=\dfrac{1}{3}x-1[/tex]
To find:
The equation of line in slope-intercept form parallel to given line and passes through (6,10).
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
The equation of given line is
[tex]y=\dfrac{1}{3}x-1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=\dfrac{1}{3}[/tex]
Slope of given line is [tex]\dfrac{1}{3}[/tex].
We know that slope of parallel lines are same. So, the slope of required line is [tex]\dfrac{1}{3}[/tex].
Since slope of required line is [tex]\dfrac{1}{3}[/tex] and it passes through (6,10), therefore the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-10=\dfrac{1}{3}(x-6)[/tex]
[tex]y-10=\dfrac{1}{3}(x)-\dfrac{1}{3}(6)[/tex]
[tex]y-10=\dfrac{1}{3}(x)-2[/tex]
Add 10 on both sides.
[tex]y-10+10=\dfrac{1}{3}(x)-2+10[/tex]
[tex]y=\dfrac{1}{3}(x)+8[/tex]
Therefore, the required equation of line is [tex]y=\dfrac{1}{3}(x)+8[/tex].
Below are different ways students tried to start this problem. Which is correct?
(- 10) * (½) * (- 8)
A) (½) * - 8 = - ( - 8/16 )
B) (-10) * (½) = 5
C) -10 * (- 8) = 80
D) -8 * 2 = - 16
Answer:
C) -10 * (- 8) = 80
Step-by-step explanation:
(- 10) * (½) * (- 8)
Checking all the options
A) (½) * - 8 = - ( - 8/16 )
1/2 * - 8
= -8/2
= -4
(½) * - 8 = -4
(½) * - 8 = - ( - 8/16 ) Wrong
B) (-10) * (½) = 5
-10 * 1/2
= -10/2
= -5
(-10) * (½) = -5
(-10) * (½) = 5 Wrong
C) -10 * (- 8) = 80
-10 * (- 8)
= -10 × - 8
= + 80
-10 * (- 8) = 80 Correct
D) -8 * 2 = - 16
-8 * 2
= -16 correct but we don't have 2 in the expression so, it is wrong
The correct way to start solving the problem is C) -10 * (- 8) = 80
(- 10) * (½) * (- 8)
-10 * (- 8) = 80
80 * 1/2 = 80 / 2
= 40
Given f(x)=5x+4 solve for "x" when f(x)=24.
Answer:
x=4
Step-by-step explanation:
f(x)=5x+4
By given,
f(x)=24
5x+4=24
5x=20
x=4
Part 2
Evaluate the expression for the given value of x.
−8x + 7 for x = −
Evaluate the expression for the given value of x.
3.5x − 1.5 for x = 9
Evaluate the expression for the given value of x.
0.2x + 7.7 for x = −2
Evaluate the expression for the given value of x.
3
4
x − 9 for x = 12
1) x = negative what number?
2) 30
3) 7.3
4) 0
A store sells $5000 worth of running shoes on Monday. On Tuesday, it sells $6250 worth of running shoes. What is the percent increase in sales between Monday and Tuesday?
Answer:6300
Step-by-step explanation:
PLS HELP MATH HURRY WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
It’s B
ABD=CBD=1/2 ABC
Answer: D.
Step-by-step explanation:
reasoning is because if you were take the measure of CBD and divide it by 2 then you would get the measure of ABD.
Find the measure of the numbered angles.
9. m<1
10. m<2
11. m<3
12. m<4
13. m<5
14. m<6
Answer:
the complementary angles and the supplementary angles
Step-by-step explanation:
m<1=60
m<2=120
m<3=60
m<4=120
m<5=30
m<6=30
2c+3d+2c+6d get it correct mark brainliest
Answer:
4c+9d
Step-by-step explanation:
group together the twos to get four and the 3 and the 6 to get 9.
The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to
solve for the smaller number?
O x-(X + 8) = 72
O x + (x + 8) = 72
O X(X + 8) = 72
O x(x - 8) = 72
A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $1.50, and each additional topping costs $0.75.
Write an equation that represents the cost of a pizza. Be sure to specify what the variables represent.
Answer:
A pizza shop sells pizzas that are 10 inches orr larger. A 10-inch cheese pizza costs $8 and each additional costs $1.50 and each additional topping costs $0.75.
The equation that represents the cost of a pizza is:
P = $10 + $1.50a + $0.75b
Where 'a' represents the number additional inches and 'b' represents the number of additional toppings.
Step-by-step explanation:
The value of y varies directly with x. When y = 75, 7 = 1. What is the value of y when x is 272
i'll mark you has brainliest
Answer:
x-1=y
Step-by-step explanation:
Is this what you need?
Lines a and d are
A. non-coplanar.
B. parallel.
C. perpendicular.
D. skew.
You spend $40 on 5 pounds of concrete. How much would it cost for 7 pounds of concrete
Answer:$8
Step-by-step explanation:
Eeeh I looked it up but I’m pretty sure u supposed to divide 40 and 5
a cuboid with a volume of 374cm^3 has dimensions
Answer:
2 x 11 x 17 = L x W x H
Step-by-step explanation:
x² + 12 (8) - 160 = 0
8(8) + 96 -160 = 0
8(8) + 96 -160
160 -160 = 0
x² + 12x -160 = 0
x² + 8 × - 20 = 0
(x +8) (x-20)
2( x+3 ) × (x+9) = 374
(x+3) × (x+9) = 374 ÷ 2
(x+3)× (x+ 9) = 187
x² = 184 - 9
x² = 175
x = 175/25
x = 8
Formula of Volume of Cuboid
V = L ×W × H
V = 2 × (x+3) × (x+9)
2 ( 8+3 ) × ( 8+ 9)
2 (11) × (17)
x + 3 = 11
x + 9 = 17
Volume L × W × H
2 × 11 × 17 = 374cm³
satisfies the equation
dimensions of the cuboid
2 11 and 17
2x - y = 9
x + 3y = -6
Answer: Your answer should be {x,y}={3,−3}
Step-by-step explanation: Hoped this helped!!!!
what would the slope intercept form be?
Answer:
y=-2x
Step-by-step explanation:
Please help me......❕
Answer:
Mia is right
Step-by-step explanation:
the red graph is a negative slope. y=4+6x is a positive slope.
Answer:
Mia
Step-by-step explanation:
If you plot in any number (say 1) for x, then y will equal 10 (4+6(1)). The blue dotted line shows that as it approaches 1 on the x axis, it approaches 10 on the y axis. However, the red line shows that when x=1, y is about 3.5
Thus Mia is correct
Use a property of equality to solve this equation:
4.5x = 18
x=
Answer:
x=4
Step-by-step explanation:
4.5x = 18
<=> x= 18 / 4.5
<=>x = 4
Answer:
The person above is correct c: it is x=4
GoodJob! :D
Step-by-step explanation:
**ANSWER FAST!!**
h(1)=
Evaluate functions from their graph
Answer:
Evaluate functions from their graph h(1)= -2
Step-by-step explanation:
See attached!
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l + 2w ≤ 200.
Which are possible dimensions for Mike’s backyard? Check all that apply.
answers in order are 2 3 5
A rubber bouncy ball is bouncing up and down such that the ball's distance, d, in feet above the ground is given by the inequality
Which of the following graphs shows all the possible distances?
Answer: Option D.
Step-by-step explanation:
We have the inequality:
Id - 3.5I ≤ 1.5
remember that : IxI < d means that:
-d < x < d
Now let's find the possible values of d, breaking the absolute value we have that:
-1.5 ≤ d - 3.5 ≤ 1.5
adding 3.5 in each part, we have:
-1.5 + 3.5 ≤ d - 3.5 + 3.5 ≤ 1.5 + 3.5
2 ≤ d ≤ 5
Then d can be any value in the set [2, 5]
Then the correct graph is D, because the purple line starts at 2, and ends at 5.
At the bowling alley ethans family spent $4 to rent shoes plus $8 for each game that they bowled if they spent $36 total how many games did they bowl
Answer:
4
Step-by-step explanation:
If they spent 36 dollars
and the shoes were 4 dollars,
36-4=32 dollars left for the games
32/8=4 games
Find the slope of the line that passes through the points (4, 3) and (2, 7).
Answer: -2/1
Step-by-step explanation:
Slope = Change in y/Change in x
Equation:
(7-3)/(2-4)
Evaluate:
4/-2
Simplify:
-2/1
Is this expression true or false?
Answer:
False
Step-by-step explanation:
THE ANSWER IS FALSE.
help me with this please it’s 3 grade
Answer:
10 more hotdogs were sold on Friday than Monday.
Step-by-step explanation:
On Monday the graph says that there were 10 hotdogs sold, on Friday it says that there were 20 sold
20-10=10, so 10 hotdogs more were sold
Answer:10
Step-by-step explanation: there was 20 hot dogs sold on saturday and on monday there was 10. 20-10=10
What is the slope-intercept form of a line that passes through points (2,11) and (4,17)? *
y=3x+5
y=-3x+5
y=-3x-5
y=3x-5
Answer:y=3x+5
Step-by-step explanation:
11=3(2)+5
17=3(4)+5
Answer:
Y=3x + 5
Step-by-step explanation:
brainiliest if u answer both
1.Bella brought stickers to give to 12 of her friends. Each friend received 4 stickers. How many stickers did she bring to school?
2.ierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her morning walk. At the end of the week she tells her mom,
I walked Pepper for 30 miles this week!
How long is her morning walk if there are 7 days in the week?
Answer:
1. 48 stickers 2. 1.2 miles
Step-by-step explanation:
1. 12x4=48 stickers. 2. If we let w denote the length of the morning walk, Sierra walks w+2.5w or 3.5w miles each day. At the end of the week she has walked 7 times as far and she said that this was 30 miles. Solving the equation
24.5w=30,
we have w=30/24.5≈1.2 miles. Therefore the distance of Sierra's morning walk is about 1.2 miles
Solution: Using a diagram
We can illustrate the solution to this problem with a tape diagram. If we let one box be the morning walk, then the evening walk is 2.5 boxes. The total distance Sierra walks in one day is represented by 3.5 boxes. Instead of talking about the number of boxes, we can choose a variable to represent the value or length of each box, say w.
Since Sierra walks every day of the week, the total distance walked is 7 times as long. Therefore, we have the total distance walked during the week is 7(3.5w)=24.5w. We know that Sierra walks a total distance of 30 miles, so we have 24.5w=30 miles. We can use another diagram to illustrate the total distance with 24.5 boxes.
Dividing both sides of the equation 24.5w=30 by 24.5 allows us to find w, and we have
w=30/24.5≈1.2.
Therefore, Sierra's morning walk is about 1.2 miles.
55% of 120 children at the theatre were boys. How many were boys?
What is the value of x?
2x-5/3=11
Answer:
19/3
Step-by-step explanation: 19/3=6.33
find the slope: (8,5) and (-9,5)
Answer:
Use the slope formula to find the slope m.
m = 0
Step-by-step explanation:
The slope of the line is zero (0).
Given the following points:
Points on the x-axis = (8, -9)Points on the y-axis = (5, 5)To find the slope of the line, we would use the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the points into the formula, we have;
[tex]Slope. \;m = \frac{5 - 5}{-9 - 8}\\\\Slope. \;m = \frac{0}{-17}\\\\Slope. \;m = \frac{0}{-17}[/tex]
Slope, m = 0
Therefore, the slope of the line is zero (0).
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