Answer:
7x - 2y - 4 = 0
Step-by-step explanation:
from the perpendicular equation formula,
y/a + x/b = 1
x1 = 4
y1 = 12
a = -2
b= ?
Inserting the values into the above formula,
12/-2 + 4/b = 1
-6 + 4/b = 1
4/b = 7
b = 4/7
putting a and b into the original formula,
y/-2 + x/(4/7) = 1
-y/2 + 7x/4 = 1 (×4)
-2y + 7x = 4
7x - 2y - 4 = 0
Therefore, the equation of the line is;
7x - 2y - 4 = 0
NEED HELP! with these 2?
Step-by-step explanation:
answer,
first one is -5 and the second is 5
hope it helps
Answer: first one is -5
Second one is 5
Step-by-step explanation:
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions
to the nearest hundredth.
x² + 12x+11=0
help help help help help help help help help help help.
Answer:
23.3
Step-by-step explanation:
divide
Answer:
23.3333333... or in fraction form 23 1/3 :)
Step-by-step explanation:
Stephanie spent half of her weekly
allowance playing arcade games. To earn
more money her parents let her clean the
oven for $7. What is her weekly
allowance if she ended with $12?
Pls give me an equation and your work
Answer:
5
Step-by-step explanation:
just do 12 minus 7 and you get 5
What is the less of side a? Round to the nearest tenth of an inch.
Answer:
About 14 in the exact value is 14.38 smthn
4 4/5 What decimal should the digital scale show?
Answer: 4.8
Hope this helped!
In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.
The required sum of the measures of angles D and F is 260 degrees.
Let's represent the measures of angles D, E, and F as D, E, and F, respectively.
From the given information, we have the following equations:
D + E = 110 (The sum of the measures of angles D and E is 110)
E + F = 150 (The sum of the measures of angles E and F is 150)
Now, we want to find the sum of the measures of angles D and F, which is D + F.
To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):
(D + E) + (E + F) = 110 + 150
Now, the E terms cancel out:
D + F = 260
So, the sum of the measures of angles D and F is 260 degrees.
Learn more about angles here:
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Given that for all values of x,
f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + 9
where p and q are constants.
Work out the values of p and q.
The value of p is 2.
The value of q is 14
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions:
f(x) = 3x + p
g(x) = px + 4
Now,
f(g(x)) = 6x + 9
This means,
3(g(x)) + p = 6x + q
Substituting g(x) = px + 4.
3(px + 4) + p = 6x + q
3px + 12 + p = 6x + q
3px + (p - q) = 6x - 12
This means,
3p = 6
p = 2
p - q = -12
2 - q = -12
q = 2 + 12
q = 14
Thus,
p is 2 and q is 14.
Learn more about functions here:
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Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the distance between them was 2 miles. How fast did they bike if one was 3mph slower than the other.
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
[tex]v = x + ( x-3 )\\\\v = 2x - 3[/tex]
Now, distance travelled in 3 hours is (98-2) miles .
So,
[tex]2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph[/tex]
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15 INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED "SCALE- 2 /9". WHAT IS THE LENGTH OF THE RAILROAD CAR ON THE LONG ISLAND RAILROAD? WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?
Answer:
Step-by-step explanation:
Given that :
Dimension of rail road toy trains :
Length = 15 inches
Width = 4 inches
Scale = 2/9
Dimension of car on the long Island rail road :
Let length = x
Length = 2/9 of x = 15 inches
= 0.22222x = 15 inches
LENGTH = 67.5 inches
WIDTH = 2/9 of x = 4 inches
0.22222x = 4 inches
Width = 18
Width = 6 inches
a5b10
ab3
How do I simplify a s express using exponents
Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days. What is the average rate of change per day between the 2nd and 5th day?
Answer:
Average rate of change from day 2 to day 5 is $43.33/day.
Step-by-step explanation:
Sales on day 2 = 200
Sales on day 5 = 330
Rate of change = [tex]\frac{330-200}{5-2} =\frac{130}{3}=43.33[/tex]
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answer:
Width of rectangular piece = x = 8 inches
Step-by-step explanation:
Perimeter of rectangular piece = 62 inches
Let width of rectangular piece= x
and length of rectangular piece = x+15
We need to find width i.e value of x
The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Putting values in formula and finding Width:
[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]
After solving we get value of x = 8
So, Width of rectangular piece = x = 8 inches
4.
Peppa has a carton with a dozen eggs in it. 6 eggs are brown.
The rest are white. What fraction of her eggs are white?
Answer:
6/12 or 1/2
Step-by-step explanation:
there ya go i think its right
1) Drew is an artist. He paints portraits. The table below
shows the number of portraits painted in hours. Do the
numbers in the table represent a proportional relationship?
Answer:
Yes
Step-by-step explanation:
Their ratios are equivalent
Tom is a lawyer who makes $132,000 per year. If his legal assistant, Alec, makes 53% of his salary, find Alec’s salary.
Answer: 69,960
Step-by-step explanation: all you have to do is divide 132,000 by 53%.
What is the Lcm of 168?
Answer:
6
Step-by-step explanation:
9+3.5g=11−0.5g i need this anwser plz help
Answer:
g = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
9 + 3.5g = 11 - 0.5g
Step 2: Solve for g
Add 0.5g on both sides: 9 + 4g = 11Subtract 9 on both sides: 4g = 2Divide 4 on both sides: g = 1/2Step 3: Check
Plug in g into the original equation to verify it's a solution.
Substitute in g: 9 + 3.5(1/2) = 11 - 0.5(1/2)Multiply: 9 + 1.75 = 11 - 0.25Add/Subtract: 10.75 = 10.75Here we see that 10.75 does indeed equal 10.75.
∴ g = 1/2 is a solution of the equation.
Answer: g= 0.5
Step-by-step explanation:
Add
3.5g and 0.5g. to get
9+4g=11
then subtract 9 from the 11 and you should get 4g=2.
then divide 4 from 2 and you should get the answer of 2/4.
simplify it and you should get the answer g=0.5
What is the slope of the line?
Answer:
-1/2.
Change in y above change in x (don't mix that up)
The first coordinate is 3,-2 the second is 2,-4.
The change is x was -1 . (2-3)
The change in y was 2. (-4-(-2))
The cost of printing 200 business cards is $23. The cost of printing 500 business cards is $35. What linear equation that could be used to solve this problem?
Help!!! I need the answer!!
Answer:
Step-by-step explanation:
3/4a>-16=
a >- 64/3 or -21 1/3
The students in Juan's class got to choose between pizza and burgers for the celebration on the last day of school. 25% of the students picked the pizza. If there are 16 students in all at Juan's class, how many students preferred the pizza?
Answer:
4 studentsStep-by-step explanation:
Step one:
given
we are told that the total number of students is =16
so 25% of these students preferred pizza
Firstly, we want to know what 25% of 16 will be
so
=25/100*16
=0.25*16
=4
This means that only 4 students preferred pizza
find the slope of the table
Answer:
equation for slope:
y2-y1 / x2-x1
0- (-4) / 0 - (-5)
4/5 is your slope
Step-by-step explanation:
Write a sentence to answer each question:
a) How much warmer is 82 than 40?
b) How much warmer is 82 than -40?
Answer: a
Step-by-step explanation:
82 is 122 degrees warmer than -40
What is the product of 35 and 434?
A. 21720
B. 3320
C. 4310
D. 515
Answer:
none of the answer choices are correct.
CORRECT ANSWER: 15,190
Answer:
The actual product is 15,190
Step-by-step explanation:
ANSWER THIS QUESTION IF YOUR GOOD AT MATH ↓
Answer:
It's C, g(x) = (1/2)^x
This is a horizontal reflection of y = 2^x
across the y axis.
Step-by-step explanation:
Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.
The transformations of a standard exponential function can be given by:
ab^(1/c(x-h))+k
First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.
Find the area of the composite figure below.
find the area of the composite figure below 4 ft
4 ft
10 ft
4 ft
4 ft
Answer:
112
Step-by-step explanation:
srry. i meant to put 112 erlier
Please help if you can!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
4/3 is that correct if not msg me and I’ll help you with the next problem
Step-by-step explanation:
Answer:
slope is 3/4
Step-by-step explanation:
rise over run
D is a point on AB, AC=7, AD=6, BC=18
What is the length of DB?
A. 5
B. 12
C. 19
D. 25
Answer:
Length of DB = 19 (Approx)
Step-by-step explanation:
Given:
AC=7
AD=6
BC=18
Find:
Length of DB
Computation:
AB = AD + DB
AB = 6 + DB
AC + BC ≥ AB
7 + 18 ≥ 6 + DB
19 ≥ DB
Length of DB = 19 (Approx)
Can someone please explain I’ll mark brainlest
Answer:
TriangleJXP = Triangle HCD
Side XJ = side HC
Side CD = side JP
Side PX = HD
Step-by-step explanation:
Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.
So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.
Hope this helps.