Answer:
m=-4
(the slope is negetive 4)
Step-by-step explanation:
Answer:
[tex]-4[/tex]
Step-by-step explanation:
Start with point-slope form:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify your values.
[tex]x_1=7\\x_2=8\\y_1=-3\\y_2=-7[/tex]
Substitute.
[tex]\frac{-7-(-3)}{8-7}[/tex]
The [tex]-3[/tex] becomes positive as it is being multiplied by a negative.
[tex]\frac{-7+3}{8-7}[/tex]
Combine like terms.
[tex]\frac{-4}{1}[/tex]
Rewrite.
[tex]-4[/tex]
A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? focus: (0,8); directrix: y = –8 focus: ; directrix: y = focus: (8,0); directrix: x = –8 focus: ; directrix: x =
Answer:
the coordinate of the focus is: (0, 1/2)
the equation of the directrix is: y=-1/2
Step-by-step explanation: The standard equation for a parabola that opens upward- parallel to the y-axis, is: x2=4ay. Meaning, a = distance from the vertex to focus and the vertex is at origin: (0,0).
4a is equal to 2
a is equal to 2/4
a is equal to 1/2 or 0.5
The parabola has
focus: (0,1/2)
directix: y=-1/2
What is the formula for focus and directrix of a parabola?If the parabola is given by
y=a(x-h)²+k
then the focus of the parabola is given by
(h,k+1/4a)
and the directrix of the parabola is given by
y=k-a
How to solve the problem?Given parabola is x²=2y
So, the parabola is y=(1/2)x², when compared with y=a(x-h)²+k we have
a=1/2, h=0 and k=0
So, the focus of the parabola is
[tex](0,\frac{1}{4\frac{1}{2}})= (0,\frac{1}{2})[/tex]
and, the directrix of the parabola is
y= -1/2.
Hence, the parabola has
focus: (0,1/2)
directix: y=-1/2
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If Mikayla rides for 2 hours on a bicycle, what is her rate if she rides for 22 miles?
Rewrite as a logarithmic equation.
*=8
Answer:
yes in the steps
Step-by-step explanation:
conclusive
A toy company uses the linear model y=-2x+380 to predict the decline in sales of a toy after it has been on the market more than one year. If x is the number of months after the first year and y is the number of toys sold in hundreds during that month how many toys will be sold 11 months after the first year
Answer:
358 toys sold 11 months after the first year.
Step-by-step explanation:
y = - 2x + 380
x is number of months after release in this case x = 11
y is number of toy sold in the hundreds.
y = - 2 ( 11 ) + 380
y = - 22 + 380
y = 358
Number of toys sold 11 months after the first year = 358
What is linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
Given,
Linear equation
y = - 2x + 380
x is number of months after release
y is number of toy sold in the hundreds.
No. of months, x = 11
Putting value of x in above equation
y = - 2 ( 11 ) + 380
y = - 22 + 380
y = 358
Hence, 358 toys sold 11 months after the first year.
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Simplify the expression: 42x3y6 6xy6 A) 7x2y12 B) 7x2y C) 36x2y12 D) 7x2
Answer:
D
Step-by-step explanation:
So first you simplify
Step 1: (2•3•7x3y6) (2•3xy6)
Step 2: you divide x3 by x1 = x (3-1) = x2
step 3: You cancel out y6 as it appears on both sides of the fraction line.
step 4: cancel out 2 as it appears on both sides.
step 5: cancel out 3 as it appears on both sides.
step 6: final result 7x2
What percent of 150 is 900
Answer:
600 %
Step-by-step explanation:
x · 150 ÷ 100 = 900
150x = 90000
x = 600
Evaluate the given expression if x= -3 and y=6.
x+3y / 6+3y
Answer:
5/8
Step-by-step explanation:
The given expression is [tex]\dfrac{x+3y}{6+3y}[/tex]
We need to find of above expression when x = -3 and y = 6
Put x = -3 and y = 6 in given expression such that,
[tex]\dfrac{x+3y}{6+3y}=\dfrac{(-3)+3(6)}{6+3(6)}\\\\=\dfrac{-3+18}{6+18}\\\\=\dfrac{15}{24}\\\\=\dfrac{5}{8}[/tex]
So, the value of given expression is 5/8.
Write 18% as a fraction
Hi there!
~
[tex]18[/tex]% [tex]= \frac{9}{50}[/tex]
Answer9/50:
Step-by-step explanation:
18/100
18÷2
100÷2
9/50
Define intersecting lines
Answer:
lines that meet at a point
1 point
#11: At MVP Fitness, the enrollment fee is $95 and it costs $40 per month.
At the Body Factory, the enrollment fee is only $25, but it costs $50 per
month. Write and solve an equation to find the number of months at which
the total cost charged by the two companies would be the same.
Your answer
what is the answer to 1.58x1.78=
How can you tell that 7. 630 and 7. 63 are equivalent decimals?
because if you add a zero onto something after the decimal point it doesn't increase or decrease the value of the number.
7.630 is literally just 7.63.
but if it was 76.3 and 760.3 it would be different.
2 ( x - 6 ) = 3 ( x + 9 )
Steps to solve:
2(x - 6) = 3(x + 9)
~Distribute both sides
2x - 12 = 3x + 27
~Add 12 to both sides
2x = 3x + 39
~Subtract 3x to both sides
-x = 39
~Divide both sides by -1
x = -39
Best of Luck!
Answer:
2×-12=3×+27
2×-3×=27+12
-×=39
Step-by-step explanation:
Grouping like terms
then simplify to get x
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
Answer:
well the length on both increases by x3 and the height increases by 2
Step-by-step explanation:
A train leaves Philadelphia at 3:00 PM. A second train leaves the same city in the same direction at 9:00 PM. The second train travels 120mph faster than the first. If the second train overtakes the first at 11:00 PM, what is the speed of each of the two trains?
Answer:
Step-by-step explanation:
2nd train DATA:
time = 2 hrs ; rate = x + 120 mph ; distance = 2(x+120) = 2x+240 miles
------
1st train DATA:
time = 8 hrs ; rate ; x mph ; distance = 8x miles
------------------
Equation:
distance = distance
8x = 2x+240
6x = 240
x = 40 mph (speed of the 1st train)
x+120 = 160 mph (speed of the 2nd train)
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An elm tree is 3 times as tall as an apple tree. The apple tree is 10 feet tall. How tall is the elm tree?
Answer:
LET ME GUESS hmmmm... OH WAIT 30
Step-by-step explanation:
Answer:
30 ft
Step-by-step explanation:
The elm tree is 3 times as tall as the apple tree.
The elm tree is 3 times as tall as 10 ft.
3 * 10 ft = 30 ft
Business: Discount Pricing A store sells refurbished
iPhones that cost 12% less than the original price. If the new price of a refurbished iPhone is $572, what was the original price? How much is saved by purchasing the refurbished
The original price of the iPhone will be $650 thus the buyer saved $78 by buying the refurbished mobile.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's say the original price of the mobile is x.
12% of x is 0.12x
The cost of refurbished mobile will be as x - 0.12x = 0.88x
0.88x = 572
x = $650
The amount saved = $650 - $572 = $78
Hence "The original price of the iPhone will be $650 thus the buyer saved $78 by buying the refurbished mobile".
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PLEASE HELP QUICK what algebraic expression represents GK
Answer:
answer is 6x+4
mark it as branliest.
Answer:
GK = 6x + 4
Step-by-step explanation:
3x + 5 - x + 4x - 1 - x + x
3x -x + 4x - x + x + 5 -1
6x + 4
What is the image of (-5, -8) after a reflection over the y-axis?
Answer:
[tex](5,-8)[/tex]
Step-by-step explanation:
The rule for a reflection over the y-axis is
[tex](x,y) -> (-x,y)[/tex]
In this situation, we have to change the sign of x.
[tex](-5,-8) -> (5,-8)[/tex]
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.
Point (9,−11); Slope=−8
Answer:
Step-by-step explanation:
y + 11 = -8(x - 9)
y + 11 = -8x + 72
y = -8x + 61
The equation of the line in slope-intercept form having the given point and slope is: y = -8x + 61.
How to Find the Equation of a Line in Slope-intercept Form?Slope-intercept formis expressed as y = mx + b.
Given the following:
A point = (9, -11) = (a, b)
Slope = -8 = m
Substitute m = -8 and (a, b) = (9, - 11) into y - b = m(x - a)
y - (-11) = -8(x - 9)
Rewrite in slope-intercept form
y + 11 = -8x + 72
y = -8x + 72 - 11
y = -8x + 61
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The mean absolute deviation is best described as:
The value obtained when averaging the distances between each data point in the data set and the mean.
The value obtained when you add all the values in the data set and divide by the number of values.
The difference between the means of two similar data sets.
An approximation of the center of a data set.
Answer: It’s the second one
Step-by-step explanation:
Find height when diameter is 1.4m and its hold 770l water
≈ 0,5 m
≈ 50 cm
Step-by-step explanation:d = 2r => r = d/2 = 1,4m/2 = 0,7 m
V = πr²·h => h = V/πr²
770 l = 0,77 m³
h = 0,77m³/3.14×0,49m²
= 0,77m³/1,5386m²
= 0,5004 m
≈ 0,5 m
≈ 50 cm
Find the nth term of this quadratic sequence 7,16,25,34,43
Answer:
52
Step-by-step explanation:
everytime it adds by 9:
7+9=16
16+9=25
25+9=34
34+9=43
43+9=52
(3 + 5i) + (11 -7i) Write answer in standard form a +bi
Answer:
14-2i
Step-by-step explanation:
[tex]\left(3+5i\right)+\left(11-7i\right)\\\\Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3+11\right)+\left(5-7\right)i\\3+11=14\\5-7=-2\\\\=14-2i[/tex]
Suppose R is the solid bounded by the plane z=5x, the surface z=x2, and the planes y=0 and y=3. Write an iterated integral in the form below to find the volume of the solid R.
I have attached the complete question.
Answer:
See 2nd attachment
Step-by-step explanation:
We are told that R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y = 3.
Thus, the region in the xz plane would be defined as;
0 ≤ x ≤ 3 and x² ≤ z ≤ 5x
For the iterated integral for the volume of the solid R, see 2nd attachment.
An apartment building has 11 floors in it. Each floor has 9 rooms on it. If each room has two people living there, how many people live in this apartment building?**
Answer: 198 total people
Step-by-step explanation:
so there are 11 floors and each obtain 9 rooms so if there are two people in each of the 9 rooms there will 18 total people in one floor and since there are 11 floors multiply it by 18 to find out how many people live in the apartment.
11 * 18 = 198
42 is 64% of what number
Answer:
the answer is 65.625, 42 is 64% of 65.625
Write an equation of the line passing through the points (3,7) and (-1,-13)
Answer:
Step-by-step explanation:
(-13 - 7)/(-1 + 3) = -20/2 = -10
y - 7 = -10(x - 3)
y - 7 = -10x + 30
y = - 10x + 37
You want to share 1000 dollars between you and 5 friends,
Can you share the money evenly
What is the maximum amount that can be shared evenly
What is then the leftover as a fraction
Answer:
the answer is 200
Step-by-step explanation:it's because
you have to divide 1000 in to 5 and 1000 divided by 5 is 200
Which planet is an inner planet, and which one is an outer planet? Explain your answer.
The correct answers are Planet A 16 hours - Inner planet and planet B 1,408 hours - Outer planet.
What is a planet?Large, circular celestial objects that are neither stars nor their remnants are known as planets. The inner planets are the ones that are much closer to the sun, thus they have much smaller orbits around it and it takes them much less time to circle around it. Also, these planets are much smaller, which enables them to spin around their axis much quicker too, so one day passes much quicker.
The outer planets are the total opposite. They are much further from the sun, so for them to be able to make a single circle around the sun it takes much more time, and also because they are much bigger, it takes them much more time to spin around their own axis, thus making one day much longer than the days of the inner planets.
The complete question is given below as:-
Which planet is an inner planet, and which one is an outer planet? Explain your answer. Planet A 16 hours planet B 1,408 hours
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