Answer:
[tex]\sqrt{73}[/tex]units.
Step-by-step explanation:
We have given a pentagon ABCDE
We need to calculate its length
That means we have to find the distance of AD
So, coordinates of A(1,6) and D(4,-2)
Using distance formula:
Here,
On substituting the values we will get:
On simplification:
Hence, the length of AD is units.
rewrite this function using function notation.
-3.7x = 3-y
Answer:
f(x) = 3.7x + 3
Step-by-step explanation:
Using the fact that y = f(x), then rearrange the equation making y the subject.
- 3.7x = 3 - y ( add y to both sides )
y - 3.7x = 3 ( add 3.7x to both sides )
y = 3.7x + 3 , that is
f(x) = 3.7x + 3
Measuring Angles. Please help me this is due at 11:59 today
Answer:
115 degrees
Step-by-step explanation:
14x+3+4x+10=157
14x+4x+3+10=157
18x+13=157
18x=157-13
18x=144
X=8
14x+3
(14×8)+3
112+3=115
A cube has a volume of 27 cubic inches. What are the dimensions of the cube?
Answer:A cube shaped box has a volume of 27 cubic inches bethany says each side of the cube measures 9 inches because 9 x 3 = 27.
Step-by-step explanation:hope this help you ok
HURRY PLS IM BEING TIMED!!What is the polynomial function?
a)f(x) = x4 + 3x2 – 10
b)f(x) = x4 – 4x3 + 5x2 – 2
c)f(x)=x4 – 4x3 + 3x2 + 8x – 10
Answer:
The correct answer is C
Step-by-step explanation:
Just trust the process
The average speed on a city street is 35 miles per hour (mph).
Assuming you drive the speed limit, how long will it take you to
drive 7 miles? Use the formula d=rt.
Answer:
Distance-Rate-Time and other Products
In this lesson, we will investigate the relationship between the distance traveled, the rate or speed or travel, and the time that it takes to travel that distance at that rate. We will also look at a few other related products.
Distance = (Rate)(Time)
The equation that relates distance, rate, and time is
d = rt
Where d is the distance traveled, r is the rate, and t is the time. On the CAHSEE exam, you will be given two of these and will be asked to use the above equation to find the third.
Example 1
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
9 miles
Example 2
Elena always rides her bicycle at a speed of 15 miles per hour. On Sunday, she goes on a 24 mile bike ride. How many hours does this ride take?
Solution
The speed of 15 miles per hour is a rate. The key words that tell us that this is a rate are "speed" and "miles per hour". We can write:
r = 15
Next, 24 miles is a distance. We have:
d = 24
Now use the d=rt equation to get
24 = 15t
To solve this, divide both sides by 15 to get
t = 24/15
Both are divisible by 3, so this fraction reduces to
t = 8/5 = 1.6
Elena's ride takes 1.6 hours.
Solving Inequalities
Algebra 1
Answer:
x<0
Step-by-step explanation:
Let's solve your inequality step-by-step.
−4+
x
3
<−4
Step 1: Simplify both sides of the inequality.
1
3
x−4<−4
Step 2: Add 4 to both sides.
1
3
x−4+4<−4+4
1
3
x<0
Step 3: Multiply both sides by 3.
3*(
1
3
x)<(3)*(0)
x<0
The equation of the line through (2,-5) and parallel to the line x+3y-9=0is:
Answer:
x + y = -13
Step-by-step explanation:
The equation of a line is y=mx+c
Line x+3y-9=0
Let's rearrange.
3y= -x+9
Divide both sides by 3.
3y/3 = -x/3 +9/3
y= -x/3 + 3
The gradient is the coefficient of x which is -1/3.
Therefore, m1 = -1/3
Where m1 is the gradient of the first line.
When two lines are parallel, their gradients are equal.
Therefore m1=m2
Where m2 is the gradient of the second line.
Therefore m2=-1/3
Now, we need to find c.
(2,-5)
Here, x=2, y=-5
y=mx+c
-5 = -1/3(2) + c
-5 = -2/3 + c
-5 + 2/3 = c
This can also be written as...
c = -5 +2/3
The LCM is 3.
The addition will give -13/3.
Now, let's create the equation We have m2 and c.
y = mx + c
y = -1/3(x) + (-13/3)
Take note of the signs, (+), and (-).
y = -x/3 - 13/3
Multiply both sides by 3 to remove the denominators.
(3)y = (3)-x/3 - (3)13/3
y = -x - 13
Or
x + y = -13
I hope you understand. Please give brainliest, thank, and rate 5 stars. thanks.
What is a rotation in geometry?
Describe how the shape moves from:
Frame 1 to Frame 2
Frame 2 to Frame 3
Frame 3 to Frame 4
Answer:
1. Frame 1 to Frame 2 - Vertical downward translation
2. Frame 2 to Frame 3 - [tex]90^{0}[/tex] counterclockwise rotation
3. Frame 3 to Frame 4 - Vertical upward translation
Step-by-step explanation:
The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.
1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.
2. Rotating the shape in frame 2 by [tex]90^{0}[/tex] counterclockwise would move it to the shape in frame 3.
3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.
18
A boy is moving a rectangular lawn 40 lt. long and 30 ft. wide. He
has cut all of it except for a rectangle that is 20 it, long and 15 ft
wide. What Iractional part of the loan remains uncl?
3
1
B
)
EL NOLA
1
1
Answer:
40x30= 1200, 20x15=300, 300/1200= 1/4.
Step-by-step explanation:
You can also visualize it. Imagine a field 40’ long and the boy cut the top 20’ of it but left 20’ of the bottom, he would have cut half of it at this point. Now it’s 30’ wide and he cut the left 15’ of what’s remaining but left the right 15’ uncut. So now there’s a 20’x15’ bottom right corner left uncut. There are 4 sections that are 20’x15’ and he left one out of four uncut, otherwise written as 1/4.
The drama club is printing T-shirts for its members. The printing company charges a certain amount for each shirt plus set up fee of $40 they are 21 students in the drama club. If there are 21 students in the club and the T-shirt order cost a total of 187 how much does each T-shirt cost show your reasoning
Answer: $7
Step-by-step explanation:
Let x = Cost of each T-shirt.
As per given,
Total charge =( Number of t shirts x Cost per t shirt )+ set up fee
For 21 T-shirts , total charge would be : 21x+40
According to the question
⇒21x+40=187
⇒21x = 187-40
⇒21x = 147
⇒x= 7
Hence, each T-shirt costs $7 .
Given a bottle with a Height vs. Volume graph that is created as the bottle is consistently filled with a liquid, describe the correlation between the width of the bottle and the steepness of the graph.
Answer:
I understand this problem as follows.
We have a bottle (the bottle is empty at the beginning)
Now, as we start to fill the bottle, we do a graph of height vs volume.
Where height is the height of the liquid inside the bottle, and volume is the volume of liquid inside the bottle.
suppose that here you need a volume V to reach a height H.
Now, if we increase the width of the bottle, we are increasing the volume of the bottle.
This means that we should pour a larger volume of liquid to reach the same height as before.
V' = V + d, to reach the same height H.
Then the steepness of the graph decreases.
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Suppose you are sending instructions to a factory for a set of customized triangles. You are only allowed to give them three pieces of information about each triangle. Give three examples of the instructions you could provide.
Answer:
There is something called "criteria of congruence for triangles".
Those criteria say that, with some data of the triangles, we can know if the triangles are equivalent.
For example one of the criteria is SSS.
Side-side-side.
This means that all the triangles with equal side length for all their sides are equivalent.
So if the information that we give to the factory is the side length of the 3 sides of the triangle, the triangle will be well defined.
Following those criteria, the other 2 options can be:
SAS
Side-Angle-Side
(so you can give the length of two sides and the angle between them)
ASA
Angle-Side-Angle.
(You can give the value of two angles and the length of the side between those two angles)
A scanner scanned 72 photos in 8 minutes. If it scans photos at a constant rate, it can scan
photos in 23 minutes.
−6 + 4 = −2 + 8 = −3 − 4 = 7 − 8 =
Answer:
[tex]-6+4=-2\\-2+8=6\\-3-4=-7\\7-8=-1[/tex]
3 times the sum of a number and 2 is 12
12 subtracted from 3 times a number is 15
(3-12)=15
Solve for a.
a+4
3
a+2
5
(1 point)
O-1
07
0-7
O 1
Answer:
Solve for a.
a+4
3
a+2
5
(1 point)
O-1
07
0-7
O 1
what are the new coordinates of A(5, -3) after reflecting it across the y-axis
Answer:
The new coordinates would be (-5,-3)
Step-by-step explanation:
Reflecting a point of the y-axis changes the sign of the point's x-coordinate.
what is 37.5679 times 108.906
Angle PSR measures 99°.
Point S has three lines extending from it. One line extends to point P, another to point Q, and the other to point R. Angle P S Q is (3 x + 18) degrees. Angle Q S R is (9 x minus 27) degrees.
What is the measure of AnglePSQ in degrees?
Answer:
Option C: 45 degrees
Step-by-step explanation:
edge2021
Answer:
C) 45°
Step-by-step explanation:
Twice the difference of a number and 5 is 30.
Find the number.
Answer:
A. 20
B. 18.5
C. 10
D. Not here
Let x be the number:
Twice the difference of a number and 5 is 30:
2(x - 5) = 30
Divide both sides by 2:
x - 5 = 15
Add 5 to both sides:
x = 20
Ans: A
Help with math problem for algebra 2
Answer:
[tex]a=10[/tex]
Step-by-step explanation:
Equation 1: [tex]2a+3b=-1[/tex]
Equation 2: [tex]4a+2b=26[/tex]
Subtract 3b from both sides in Equation 1:
[tex]2a=-1-3b[/tex]
Divide both sides by 2:
[tex]\frac{2a}{2}=-\frac{1-3b}{2}[/tex]
[tex]a=\frac{-1-3b}{2}[/tex]
Substitute this into Equation 2:
[tex]4* \frac{-1-3b}{2}+2b=26[/tex]
[tex]2\left(-3b-1\right)+2b=26[/tex]
[tex]-6b-2+2b=26[/tex]
[tex]-4b-2=26[/tex]
Add 2 to both sides:
[tex]-4b=28[/tex]
Divide both sides by -4:
[tex]\frac{-4b}{-4}=\frac{28}{-4}[/tex]
[tex]b=-7[/tex]
We know that [tex]a=\frac{-1-3b}{2}[/tex]. Plug in b = -7 value:
[tex]a=\frac{-1-3\left(-7\right)}{2}[/tex]
[tex]a=\frac{-1+3\cdot \:7}{2}[/tex]
[tex]a=\frac{20}{2}[/tex]
[tex]a=10[/tex]
a-2b+ab ; a=3, b=-1
a = 3
b = -1
Then,
[tex]a - 2b + ab \\ = 3 - 2 \times ( - 1) + 3 \times ( - 1) \\ = 3 + 2 - 3 \\ = 5 - 3 \\ ⟶2[/tex]Solution :
★ a - 2b + ab .........(Given equation)
Now, it is given that a = 3 and b = -1 by putting the values of a and b in given equation we get :]➨ 3 - 2(-1) + (3)(-1)
➨ 3 + 2 - 3
➨ 2
Therefore, the required answer we get is 2.
5n+7=7(n+1)-2n
...........
Answer:
No solution
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
quick math question ghghghujhghj
[tex]\text{Hey there!}[/tex]
[tex]\bf{3(4x + 1) - (5x + 7)}[/tex]
[tex]\text{FIRST: distribute the NEGATIVE sign}[/tex][tex]\text{(On the RIGHT side of the problem/equation)}[/tex]
[tex]\bf{-1 (5x + 7)}[/tex]
[tex]\bf{-1(5x) + -1(7)}[/tex]
[tex]\bf{-1(5x) = -5x}[/tex]
[tex]\bf{-1(7) = -7}[/tex]
[tex]\bf{\underline{= -5x - 7}}[/tex]
[tex]\text{SECOND: distribute the LEFT side of the problem/equation}[/tex]
[tex]\bf{3(4x+1)}[/tex]
[tex]\bf{3(4x) + 3(1)}[/tex]
[tex]\bf{3(4x) = 12x}[/tex]
[tex]\bf{3(1) = 3}[/tex]
[tex]\bf{\underline{12x+3}}[/tex]
[tex]\text{THIRD: make the new equation}[/tex]
[tex]\text{Equation becomes: \bf{12x + 3 - 5x - 7}}[/tex]
[tex]\text{FOURTH: COMBINE your like terms}[/tex]
[tex]\bf{(12x - 5x) + (3 - 7)}[/tex]
[tex]\bf{12x - 5x = 7x}[/tex]
[tex]\bf{3 - 7 = -4}[/tex]
[tex]\text{ANSWER}[/tex]
[tex]\boxed{\text{Thus, your answer is: \boxed{\huge\text{\bf7x - 4}}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
-2r-14=14 solve for r
Answer:
r = -14
Step-by-step explanation:
-2r - 14 = 14
add 14 to each side
-2r = 28
divide by -2
r = -14
list all sets that apply for 0.6
Answer:
i know
Step-by-step explanation:0.6
Hi someone there to help lol
Answer:
You subtract 116 from 48 and then the answer is 68°
MATH FRACTIONS!!
What is 3/4 divided by 5/6 how to solve it the step by step. I NEED IT
Answer:
9/10
Step-by-step explanation:
the rule says
[tex]\frac{a}{b} /\frac{c}{d} =\frac{ad}{bc}[/tex]
so in our case
a=3
b=4
c=5
d=6
so the division is
[tex]\frac{3*6}{4*5} \\\\=\frac{18}{20}[/tex]
we can simplify
[tex]\frac{18}{20} \\\\=\frac{2(9)}{2(10)} \\\\=\frac{9}{10}[/tex]
that's our answer
I don't know if you need step by step of the rule, if you need let me know
The division of the fractions are solved and A = 9/10
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
where the value of p = ( 3/4 )
Let the denominator of the fraction be q
where q = ( 5/6 )
Now , the fraction is A = p/q
On simplifying the expression , we get
So , the left hand side of the equation is equated to the right hand side by the value of p/q
A = ( 3/4 ) / ( 5/6 )
A = ( 3/4 ) x ( 6/5 )
On further simplification , we get
A = ( 18 / 20 )
A = 9/10
Therefore , the value of A = 9/10
Hence , the fraction is A = 9/10
To learn more about fractions click :
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