Answer:
a linear equation normally looks like y = mx + b, where m and b are constants, x is the independent variable, y is the dependent variable.
Step-by-step explanation:
13/4 - (4 9/10)
solve please
Answer:
-0.35 I hope this helps
Nate tosses a ball up a hill for his dog to chase. The path of the ball is modeled by the function y=- 1 4 x^ 2 + 33 5 x. , where x is the ball's horizontal distance from Nate in feet and y is the ball's height in feet. The hill is modeled by the line y = 1/5 * x . How far does the ball travel horizontally before it hits the ground? (in feet, round to tenth place if necessary )
Answer:
The ball's horizontal distance from Nate in feet when the ball hits the ground is 25.6 feet
Step-by-step explanation:
The given equation that represents the path of the ball is y = -1/4·x² + 33/5·x
The equation of the that models the hill is y = 1/5 × x = 1/5·x
Where, x represents the ball's horizontal distance from Nate in feet and y represents the ball's height in feet
To find the point of contact, we equate both equations to find the common solutions as follows;
-1/4·x² + 33/5·x = 1/5·x
-1/4·x² + 33/5·x - 1/5·x = -1/4·x² + 32/5·x = 0
-1/4·x² + 32/5·x = 0
0 = 1/4·x² - 32/5·x
1/4·x² - 32/5·x = 0
x·(1/4·x - 32/5) = 0
x = 0 or 1/4·x - 32/5, and x = 32/5 × 4 = 128/5 = 25.6
The ball's horizontal distance from Nate in feet = x = 25.6 feet
The ball's horizontal distance from Nate in feet when the ball hits the ground is 25.6 feet.
) Work out
e-f
Simplify your answer.
The quotient of a number and -7 is 8. What is the number?
Answer:
-56
Step-by-step explanation:
-56/-7 =8
Identify the vertical asymptotes of f(x) =
10
x? - 7x - 30
O x = 10 and x = 3
x = 10 and x = -3
Ox= -10 and x = 3
Ox= -10 and x = -3
What would be an equation for "It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music."
Answer:
0.50x + 4y = 15
Step-by-step explanation:
I hope this help :)
b The lines are translations of each other
The lines are reflections of each other
d They have the same y-intercept
e a
Both lines have a positive slope.
с
Answer:
A, B, E
Step-by-step explanation:
The slope is the same (1/4x)
it is a translation given the y intercept moved it 5 units
they are both positive
What is the equation of the line that goes through (-3,-1) and (3,3)?
A. 3x + 2y = 15
B. 3y + 2x = 15
C. 3x − 2y = 3
D. 2x − 3y = -3
Answer:
Option D
Step-by-step explanation:
m= y2-y1/x2-x1
m=3-(-1)/3-(-3)
m=4/6
m=2/3
y=m*x+c
y=2/3*x+c
sub (3,3)
3=2/3*3+c
3-2=c
1=c
Therefore y=2/3*x+1
y-2/3*x=1
Times by 3
3y-2x=3
2x-3y=-3
Therefore Option D
Answer:
I think It's (D)
Step-by-step explanation:
The formula B = 2HL can be used to determine the number of bricks, B, needed to build a wall of height H and length L.
What is the height of a wall built 28 feet long and requires 1736 bricks?
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Answer:
31 feet
Step-by-step explanation:
Fill in the given numbers and solve for the missing value.
B = 2HL
1736 = 2H(28)
1736/56 = H = 31
The wall is 31 feet high.
Answer:
N = 7·L·H
2310 = 7·30·H
2310 = 210·H (now, divide both sides by 210)
2310 ÷ 210 = 11
H = 11 feet
Step-by-step explanation:
LaTanya will walk (3 mi/hr) her bike from her house to the
bike shop, which is 1.5 mi from her house, to get the bike
fixed. She expects to wait 30 min for the repair. Then she
will ride (10 mi/hr) her bike home. How long will it take
her to get home?
A)2.12 hr
B)2hr
C)1.15
D)4hr
Answer:
1.15 hr
Step-by-step explanation:
Given that:
To get bike fixed :
Speed = 3 miles per hour
Distance = 1.5 miles
Time taken = distance / speed
Time taken = 1.5 / 3 = 0.5 hour
Waiting time for repair = 30 minutes = 0.5 hours
Return home :
Speed = 10 miles per hour
Distance = 1.5 miles
Time taken = distance / speed
Time taken = 1.5 / 10 = 0.15 hour
Total time : (0.5 + 0.5 + 0.15) = 1.15 hr
At the newest animated movie, for every 999 children, there are 444 adults. There are a total of 393939 children and adults at the movie.
How many children are at the movie?
Answer:
= 886362.75 children
Step-by-step explanation:
if 444 adults = 999 children
393939 adults= 393939adults x 999children
444adults
= 886362.75 children
The sum of two numbers is 56, and their difference is 10. What are the numbers? A. 33 and 23 B. 30 and 26 C. 20 and 36 D. 20 and 30
Answer:
A. 33 and 23
Step-by-step explanation:
33 and 23 have a sum of 56 and a difference of 10, so the answer is A. 33 and 23
Answer:
C
Step-by-step explanation:
From the given equation, list the values of A, B, and C when put into
standard form. 6y - 2x - 5
Answer:
A = 2, B = 6, C = 5
A = -2, B = 6, C =5
A = 2, B = -6, C = -5
Step-by-step explanation:
Write the vertex form equation for the graph shown.
Answer:
The vertex form equation for the given graph is y = -(x - 2)² + 2
Step-by-step explanation:
The vertex form of the quadratic equation is y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointFrom the given figure
∵ The graph is a parabola the graph of the quadratic equation
∵ Its maximum point is (2, 2)
∴ Its vertex is (2, 2)
→ By using the facts above
∴ h = 2 and k = 2
→ Substitute h, k in the form of the equation above
∴ y = a(x - 2)² + 2
→ To find a substitute x and y in the equation by a point on the curve
∵ The point (0, -2) lies on the parabola
∴ x = 0 and y = -2
→ Substitute them in the equation
∵ -2 = a(0 - 2)² + 2
∴ -2 = a(-2)² + 2
∴ -2 = a(4) + 2
∴ -2 = 4a + 2
→ Subtract 2 from both sides
∴ -4 = 4a
→ Divide both sides by 4
∴ -1 = a
→ Substitute it in the equation above
∴ y = -1(x - 2)² + 2
∴ y = -(x - 2)² + 2
∴ The vertex form equation for the given graph is y = -(x - 2)² + 2
Write an equation of the line in slope-intercept form.
Answer:
your answer is correct and it is in slope intercept form because it had no intercept.
Step-by-step explanation:
RE
You just looked at the graph of this system of equations.
Why will the lines never intersect?
y = -x +5
y=-x-3
Answer:
The lines never intersect because the lines are parallel.
Step-by-step explanation:
Given system of linear equations is:
y = -x +5
y=-x-3
The slope-intercept form of a line is:
[tex]y = mx+b[/tex]
Here b is the y-intercept and the co-efficient of x is the slope of the line
Comparing the given equations with slope intercept form we get that the slope of both lines is -1
Both lines have the equal slope which means that the lines are parallel.
Parallel lines NEVER intersect each other.
Hence,
The lines never intersect because the lines are parallel.
1.45 is what percent of 116?
( please show work)
Answer:
suppose 1.45 is x % of 116, so
116 *x/100=1.45
x=1.45*100/116
x=145/116
x=1.25 %
Step-by-step explanation:
what is slope of the line
Answer:
The Answer is 3
Step-by-step explanation:
First you'd want to find two points so example (0,1), and (2,7)
Second You would put them in the slope formula y2-y1/x2-x1
Third You would want to solve the formula by getting 2-0 and 7-1 And get 6/2
Fourth Simply 6/2 and get 3/1 which is also 3.
Hope this helps
If there is 2 circles and the larger one has a circumference of 30pi and the smaller circle has a circumference of 10 what is the radius of the smaller circle
Answer:
ehhhh it's either 5or 1.59 I'm not sure Wich
Step-by-step explanation:
sorry good luck
What number can you add to ∏ to get a rational number?
A) 2
B) 0
C) -∏
D) 1/∏.
Answer:
I believe the answer to be option C.
Step-by-step explanation:
I took the Unit Test! :)
I really hope this is correct, let me know!
Could you help me solve this?
Answer:
a and b shows a solution all you have to do is place the numbers in x value and see if it makes sense for example 8>9 is not a solution but 9> 8 that is a solution so c cannot be a solution
Step-by-step explanation:
Answer:
its a and b
Step-by-step explanation:
Select all the points that are on the graph of the line y = -1/2x +5
0,5
0,10
1,2
1,4
5,0
10,0
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Answer:
(0, 5), (10, 0)
Step-by-step explanation:
It can be useful to graph the equation and plot the points. Alternatively, you can evaluate the equation at the offered points.
Right away, you will notice that x must be even if y is to be an integer. The first point is the y-intercept, which the equation tells you is (0, 5). Then the only remaining candidate point is (10, 0), which also satisfies the equation:
0 = (-1/2)(10) +5 = -5 +5
Determine Missing Length
Answer:
c = 7√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
Pythagorean Theorem: a² + b² = c²
a is a legb is also a legc is hypotenuseStep-by-step explanation:
Step 1: Identify
We have a right triangle with side lengths 7 and 14
Step 2: Solve for hypotenuse
Substitute: 7² + 14² = c²Exponents: 49 + 196 = c²Add: 245 = c²Square root: √245 = cRewrite: c = √245Simplify: c = 7√5And we have our final answer!
Which lists all of the x-ontercept of the graphed function 0,6
Answer:
The answer is C, because those are the points that cross the x-axis.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
When you look at the graph, you can see that all the points are listed where they should be
Is triangle ABC a right triangle?
no, because none of the slopes of the line segments forming the legs are opposite reciprocals
no, because none of the slopes of the line segments forming the legs are equal
yes, because BC is perpendicular to AC
yes, because AB is perpendicular to AC
Answer:
yes because BC is perpendicular to AC
Step-by-step explanation:
BC slope is 6/2 which is 3
AC slope is -3/9 which reduces to -1/3
3 and -1/3 are opposite reciprocals and therefore the lines are perpendicular
Answer:
C yes, because BC is perpendicular to AC
Step-by-step explanation:
If the lengths of two sides of a right triangle are 5 and 12 units, what is the least possible length, in units, of the third side? Express your answer in simplest radical form.
(leg)^2 + (leg)^2 = (hypotenuse)^2
(5)^2 + (12)^2 = (h)^2
25 + 144 = (h)^2
169 = (h)^2
sqrt{169} = sqrt{(h)^2}
-13 = h
13 = h
We reject h = -13 because length is a distance and distance cannot be negative.
So, h = 13 units is the answer.
Answer:
13
Step-by-step explanation:
4 + 8m > 6m -10
what's m ?
Answer:
-7 < m
Step-by-step explanation:
4 + 8m > 6m -10
+10 +10
14 + 8m > 6m
-8m -8m
14 > -2m
÷-2 ÷-2
-7 < m
Find the Slope Of The A and B
What is the vertex of the equation f(x) = x^2-12x+9
Answer:
the vertex is (6,-27)
Step-by-step explanation:
find the derivative dy/dx for y=x2-2x/x3+3