Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up?
E=egg farm
x=distantce between the Berto´s trains and the meeting point.
t=time where the trains meet up
⇒110 miles/h ⇒85miles/h
[---------------------------E----------------------]-------------------------------------X
[............12 miles.......][........34 miles.....][------------ x ----------------------]
distance between Berto´s train and Eduardo´s train=
=12 miles+34 miles=46 miles.
S=d/t ⇒d=S*t
S=seed
d=distance
T=time
Eduardo´s train;
46 miles+x=t*110 miles/h ⇒x=t*110 miles/h-46 miles (1)
Berto´s train;
x=t*85 miles/h (2)
With the equations (1) and (2) we suggest this system equations:
x=t* 110 miles/h-46 miles
x=t*85 miles/h
we solve this system equiations :
t*110 miles/h-46 miles=t*85 miles/h
110t miles/h-85t miles/h=46 miles
25 t miles/h=46 miles
t=46 miles/25 miles/h=1,84 hour (≈1 hour, 50 minutes, 24 seconds)
x=t*85 miles/h=156,4 miles
Solution: 1,84 hour
Answer:
1.84
Step-by-step explanation:
I did it on edge it was correct
Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Answer:
210
Step-by-step explanation:
=2x-3y+4z
=2×10-3×(-12)+14×11
=20+36+154
210
The value of expression is 210.
What is an Expression?
An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is 2x – 3y + 4z
The value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11 is
=2x-3y+4z
=2×10-3×(-12)+14×11
=20+36+154
210
To know more about Expression
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what situation can be modeled using the same equation -4 + 4 equals 0
In the number 3.072 the digit 7 is in the ? place and the digit 2 is in the ? place.
Answer:
7= Hundredths
2=Thousandths
The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.
Given that,
In the number 3.072 the digit 7 is in the place and the digit 2 is in the is to be determined.
Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,
Here,
Given decimal value = 3.072
Where after the decimal point 0 is at tenth position, 7 is at hundredth position and 2 is at thousandth positions.
Thus, The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.
Learn more about decimal values here,
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Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.
What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?
Answer
35
Step-by-step explanation:
4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!
Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.
Answer:
x = -17
Step-by-step explanation:
y - y1 = m(x - x1)
y - 3 = 1/5(x - (-2))
y - 3 = 1/5(x + 2)
y - 3 = 1/5x + 0.4
y = 1/5x + 0.4 + 3
y = 1/5x + 3.4
Now we plug in y as 0 to find x
y = 1/5x + 3.4
(0) = 1/5x + 3.4
-3.4 = 1/5x + 3.4 - 3.4
-3.4 = 1/5x times 5
-3.4 times 5 = x
-17 = x
Answer:
x = -17 (Verified Answer) ✅Step-by-step explanation:
If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.
Slope = Rise/Run (Change in y/Change in x)
In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.
m = rise/run
rise = y2- y1 substituting ----> 3 - 0 = 3
run = x2 - x1 substituting ----> -2 - x = run
Now, we can return to the slope formula, as we now have enough information to solve.
1/5 = 3/R
To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.
1R = 5 x 3
R = 15
Now that we know R, we can substitute it into the equation for run.
So, we now have:
15 = -2 - x
Subtracting -2 from both sides, gives us x = -17.
Finally, we must check our answer to make sure we are getting the correct slope when we calculate.
m = (3 - 0)/(-2 - -17)
m = 3/15 OR 1/5
Since. this matches the original slope we were given, we can be sure the answer is correct.
bye guys take some points its my last day
if tammy has two banna how many bannas does she have
A.1
B.2
C.3
D.4
Answer:
B. 2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.
Can someone help me please
Anthony is laying concrete for a driveway. The driveway is to be 24 feet long by 11 feet wide by 8 inches deep. Answer parts (a) through (c)
(a) Determine the volume of concrete needed in cubic feet.
(b) If 1 cubic yard = 27 cubic feet, how many cubic yards of concrete are needed?
(c) If the concrete costs $36 per cubic yard, what is the cost of the concrete? Concrete must be purchased in whole cubic yards
Answer:
a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.
Step-by-step explanation:
a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.
b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.
c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.
On a street , there are 25 houses, of which 12 have a cat and 4 have both a cat and a dog. If a house has a cat, what is the probability that there is also a dog living there?
Answer:
50 percent
Step-by-step explanation:
DETERMINE WHETHER THE EXPRESSIONS BELOW ARE CORRECT OR NOT AND DO THE CORRECTION
1. 12% + 13%= 25%
2. a%=5 = a=5%
BTW ill make the first one to answer the brainliest
Answer:
First ans is true but second one is not the cotrect
one
Answer:
the 12%+13%=25%is correct while the a%=55a=5% is not correct
what is the solution to the following equation
Answer:
x²+5x+7 = 0
comparing above equation with ax² + bx +c
a=1, b = 5, c= 7
then
using quardatic formula
x = -b ±[tex]\sqrt{b^{2} - 4ac[/tex]
2a
on solving option d is correct answer
Step-by-step explanation:
A student has a range of values from 0.000001 to 1,000,000, but limited paper to graph these values on. How might the student be able to graph these results clearly?
Answer:
logarithmic scale
The student might be able to graph these results clearly by taking the log of the values.
What is logarithm of a number?"Logarithms are the inverse of exponents. ""x is the logarithm of n to the base b if [tex]b^x=n[/tex]"For given question,
A student has a range of values from 0.000001 to 1,000,000
We need to find the way so that the student will be able to graph these results.
We can write 0.000001 as [tex]1\times 10^{-6}[/tex]
[tex]\Rightarrow 0.000001=10^{-6}[/tex]
and 1,000,000 as [tex]1\times 10^6[/tex]
[tex]\Rightarrow 1,000,000=10^6[/tex]
If we take the log of these range values, then it would be,
[tex]\Rightarrow log(10^{-6})=-6[/tex]
and [tex]log(10^6)=6[/tex]
This means, the student might be able to graph these results clearly by taking the log of the values.
Learn more about logarithm here:
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In the triangle shown, let AB = DE, BC = EF, and CA = FD. Use Rigid Motions to show (triangle)ABC onto (triangle) DEF.
Answer:
Step-by-step explanation:
Given: AB≅DE, BC≅EF, CA≅FD
Since those are the given it is maped A to D, B to E, C to F
This is a rigid transformation because the distance is preserve (givens) and the triangle ABC is map to triangle DEF.
Rigid transformations produce congruent figures so triangle ABC is congruent to triangle DEF
what is the correct evaluation of 15-3x, when x is equal to -2?
-15
21
15
-21
Answer:
Step-by-step explanation:
15-3x
15-3(-2)
15+6
21
Answer:
21 is the correct answer
Which of the following expressions is a factor of the polynomial x2+3/2x-1?
x-1
x-1/2
X-2
x+3/2
Answer:
the answer is x-1/2
find the product of 7.64
Answer:
58.3696
Step-by-step explanation
7.64 *7.64=58.3696
A new, healthy drink has 160% of the “recommended daily allowance” (RDA) of vitamin J. If the RDA is 40 milligrams, how much vitamin J is in the new health drink?
Answer:
80
Step-by-step explanation:
Im not really sure just the thingy says that 80 was the right anwser
Answer:
64
Step-by-step explanation:
Sorry I'm really late.
Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.
Answer: Find an answer to your question Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.
Step-by-step explanation:
Find 3 consecutive integers such that the sum of all 3 integers is equal to 4 times the smallest integer minus 9. Please help I need it asap I will appreciate it a lotttt
Answer:
The three integers are 12,13 and 14
Step-by-step explanation:
Let
x,x+1,x+2 be three consecutive integers.
Out of these, the smallest one is x and largest is x+2 as it comes at last in the integers.
So according to given statement
[tex]x+(x+1)+(x+2) = 4x-9[/tex]
This is a linear equation in one variable, which can simply be solved by using equality properties
[tex]x+x+1+x+2 = 4x-9\\3x+3 = 4x-9[/tex]
Subtracting 4x from both sides
[tex]3x+3-4x = 4x-9-4x\\-x+3=-9[/tex]
Subtracting 3 from both sides
[tex]-x+3-3 = -9-3\\-x = -12\\x = 12[/tex]
The smallest integer is 12.
The other integers are:
x+1 = 12+1 = 13
x+2 = 12+2 = 14
Hence,
The three integers are 12,13 and 14
find the slope and the y-intercept of 7x = 2y-4
Answer:
Slope: [tex]\frac{7}{2}[/tex]
Y-intercept: (0, 2)
Step-by-step explanation:
7x = 2y - 4
-2y = -7x - 4
y = [tex]\frac{-7}{-2}[/tex] x - [tex]\frac{4}{-2}[/tex]
y = [tex]\frac{7}{2}[/tex] x + 2
The slope is always the coefficient of x and the y-intercept is always the constant. It looks like (0, constant) when written in y-int form.
Answer:
slope (m) is 7/2 (aka 3.5) and y-int is (0,2)
Step-by-step explanation:
I don't really have an explanation, basically rearrange the problem so that to y is on the left but it would be 2y so divide the right side by two. I an explain further in depth if needed
A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Pls help
Answer: 7.2 + L= 19.5
Solve plz, this is due Tomorrow!!
.
Step-by-step explanation:
25) h=11
26). two sides are same = 12cm
27). time = 15 hours
28). veronica travelled = 6+1 = 7 days
29). number of tickets buyed by people each showing : 231
30) ©
Dont know what to do.
9514 1404 393
Answer:
512 million
Step-by-step explanation:
Expected value is the sum of the products of probability and the value associated with that probability. Here, it is the sum ...
0.4(390) +0.4(890) +0.2(0) = 512 . . . million
The expected value of the loss over a 5-year period is $512 million.
could you plz answer these questions plzzzzzzzz
Answer:
11. 74
12. 8.5
13. 194
14. 56
15. the second one so 30.5 is more expensive
16. Manju walked further
Step-by-step explanation:
11. perimeter so add all the sides together
oh they are all perimeter so add the two numbers in each problem and then multiply that number by 2
60 vs 122 so the 30.5 is more expensive
280 vs 288 so manju walked more
brainliest would be greatly appriciated! Thanks!
!! please help timed
If the value of "y" varies directly with "x"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
Answer:
Step-by-step explanation:
Y= -2/5 x -4/1 so the answer is Y=8/5
Which triangles are congruent by ASA? *
Answer:
The correct answer is B. ΔVTU and ΔABC
Step-by-step explanation:
I took the test hope this helps :)
Under certain conditions, the average cost of driving a medium sedan in 2012 was $0.64 per mile. How much would it have cost to drive such a car 13000 miles in 2012?
Answer:
$8320
Step-by-step explanation:
.64 x 13000
Please help i need it done asap
Thank you have a great day