Answer:
(3,2)
Step-by-step explanation:
Missing Information:
The coordinate of the grocery store is: (2,5).
Required:
Determine the starting point
Assume the starting coordinate is (x, y)
When a point (x, y) is translated b units left, the image of the translation is: x -> x - b
In this case:
b = 1 (i.e. 1 unit left)
So, we have:
[tex](x-1,y)[/tex]
When a point (x, y) is translated h units up, the image of the translation is: y -> y + h
In this case:
h = 3 (i.e. 3 units up)
So, we have:
[tex](x-5,y+3)[/tex]
So, the expression that describes the grocery store is:
[tex](x-1,y+3) = (2,5)[/tex]
By comparison:
[tex]x-1 = 2[/tex]
[tex]y+3=5[/tex]
Solve for x
[tex]x = 2 + 1[/tex]
[tex]x = 3[/tex]
Solve for y
[tex]y = 5 - 3[/tex]
[tex]y = 2[/tex]
Hence, the starting point is: (3,2)
3 A garage is to be built with a skillion roof (a roof with a single
slope). The measurements are given in the diagram. Calculate
the pitch line length, to the nearest millimetre. Allow 500 mm
for each of the eaves.
Answer:
1e1e
Step-by-step explanation:
The pitch line length of the garage with the skillion roof, with the given dimensions and eave overhangs, is approximately 7.5 meters.
To calculate the pitch line length for the garage with a skillion roof, we need to consider the dimensions provided in the diagram and add the eave overhangs.
Let's assume the length of the garage is L meters, and the height from the top of the walls to the peak of the roof is H meters.
Calculate the pitch line length of the roof:
The pitch line length is the diagonal length of the triangular roof face. We can use the Pythagorean theorem to find it.
Pitch Line Length (PL) = √(L² + H²)
Add the eave overhangs:
The eave overhang is 500 mm on each side, so we need to add 1 meter (1000 mm) to the pitch line length.
Total Pitch Line Length (TPL) = PL + 1000
Now, let's calculate the pitch line length to the nearest millimeter.
For example, let's assume L = 6 meters and H = 2.5 meters.
Calculate the pitch line length (PL):
PL = √(6² + 2.5²)
PL = √(36 + 6.25)
PL = √42.25
PL = 6.5 meters
Add the eave overhangs:
TPL = 6.5 + 1
TPL = 7.5 meters
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What is 6q+4-q+5 equals tooo PLEASE I REALLY NEED HELP THIS IS DUE TODAYY
Answer:
5q+9
Step-by-step explanation:
1. combine like terms
6q-q=5q and 4+5=9
2. combine those two
5q+9
80% of the games were won.
v out of 40 games were won.
8
32
40
Answer:
32
Step-by-step explanation:
80/100 = .8
.8 x 40 = 32 games won
Answer:
32
Step-by-step explanation:
80% of the games were won.
v. out of 40 games were won
Take 80% and divide it by 100
80%/100 = 0.8
Now multiply it by 40.
0.8 * 40 = 32
Someone please saveee meee on this :(
Answer:
the answer is 5
Answer:
yea the answer is 5
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
I think it is $15
Step-by-step explanation:
Taking the test now.
Tenley wants to exercise at least 15 hours per week. She walks at a speed of three miles per hour and bikes at a speed of 10 miles per hour. She wants to cover at least 90 miles total in her weekly workouts, biking no more than 10 hours and walking no more than 12 hours.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.
Tenley wants to exercise at least 15 hours per week, therefore:
x + y ≥ 15 (1)
Tenley cover at least 90 miles total in her weekly workout, therefore:
3x + 10y ≥ 90 (2)
x ≤ 12, y ≤ 10 (3)
Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:
(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)
Katrina has $210 in her savings account. She plans to buy books for her friends for Christmas. The books cost $7 per book. Which equation best represents this situation? Let y represent the amount of money in Katrina's account and x represents the number of books she purchases.
what is the correct answer
y=210-7x
y=7x+210
y=210x+7
y=-7+210x
Answer:
Option 1 y = 210 - 7x
Step-by-step explanation:
Since she will be buying "x" amount of books she will lose money because she has to pay for them. Each book costs $7 so if she buys "x" books she will lose 7x dollars. Therefore the right equation would be...
y = 210 - 7x (which is the first option)
Pupils in a class were asked how they travel to school. The results were
recorded in the table below.
Car
13
Bus
6
Train
5
Walk
8
If a pupil in the class was picked at random, what is the probability
that one of them walked to school as a percentage?
Sue divided her garden into 12 equal sections. sue wants 1 /3 of her garden to be planted with carrots how many sections should be planted with carrots? Sue wants \frac{1}{3} of her garden to be planted with carrots. How many sections should be planted with ca
Answer:
4 sections
Step-by-step explanation:
What we know:
- There are 12 sections of the garden in total
- 1/3 will be planted with carrots
To determine the number of sections that should be planted with carrots, multiply 12 and 1/3.
[tex]12*\frac{1}{3}\\= \frac{12}{3}[/tex]
Simplify the fraction
[tex]= 4[/tex]
I hope this helps!
A coffee mug has a diameter of 8 centimeters. What is the mug's
circumference?
Use 3.14 for n.
centimeters
Submit
Answer:
25.12 cm
Step-by-step explanation
circumfernce=3.14n
c=3.14·8
c=25.12
In this triangle cosA/CosB= ?
Answer:
Step-by-step explanation:
[tex]\frac{cos A}{cos B} =\frac{\frac{AC}{AB} }{\frac{BC}{AB} } =\frac{AC}{AB} \times \frac{AB}{BC} =\frac{AC}{BC} =\frac{3}{3} =1[/tex]
The value of cosA divided by cosB is equal to 1.
What is trigonometric identity?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
It is given that in the right-angle triangle ABC the three sides are AB = 4.24, BC = 3 and AC = 3.
The value of cosine is the ratio of the base of the right-angle triangle and the hypotenuse of the right-angle triangle.
The value of cosA is calculated as below:-
cosA = 4.24 / 3
The value of cosB is calculated as below:-
cosB = 4.24 / 3
Calculating the ratio of cosA and cosB.
cosA / cosB = [ 4.24 / 3 ] ÷ [ 4.24 / 3 ]
cosA / cosB = 1
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2(4x+5)=9(3x+2)? I need help
Answer:
[tex]x=-\frac{8}{19}[/tex]
Step-by-step explanation:
2(4x + 5) = 9(3x + 2)
Solve for x
___________________
We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.
2(4x + 5) = 9(3x + 2)
Distribute :
(2(4x) + 2(5)) = (9(3x) + 9(2))
8x + 10 = 27x + 18
Subtract 10 from both sides :
8x = 27x + 8
Subtract 27x from both sides :
-19x = 8
8 = -19x
Divide both sides by -19 :
[tex]x=-\frac{8}{19}[/tex]
Help needed ASAP!!!
Answer:
Angle b = 30 degrees
Step-by-step explanation:
3x = 90.
X= 30
Angle b = 30 degrees
Answer:
45
Step-by-step explanation:
because in total it's a 90-degree agle half of 90 is 45.
8.5×7/2 ____
please
Solve the equation
4y - 7 = 15
Justify your answer
[tex] \tt \dashrightarrow 4y - 7 = 15[/tex]
[tex] \tt \dashrightarrow 4y = 15 + 7[/tex]
[tex] \tt \dashrightarrow 4y = 22[/tex]
[tex] \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}[/tex]
[tex] \tt \dashrightarrow y = \dfrac{11}{2}[/tex]
[tex] \tt \dashrightarrow y = 5.5[/tex]
[tex] \large \underline{\boxed{\bf{y = 5.5}}}[/tex]
Hence, value of y = 5.5.
Answer: y = 5 ½ or y = 5.5
Step-by-step explanation:
4y - 7 = 15
Add 7 to both sides of the equation.
4y = 22
Divide both sides by 4
y = 5.5
Substitute y in the original equation.
4(5.5) - 7 = 15
22 -7 = 15
True.
The slope of the line that passes through the points (3,14) and (7,9) is?
A:-5/4
B:-3/4
C:5/4
D:-4/5
i need help answering this question: 9 × +7
Answer:
9×7=63
the answer is 63
PLEASE HELP THIS IS DUE SOON
Answer
interior angles 370
exterior angles 350
I hope this helps!
A total of 762 people, consisting of parents, students, and teachers, attended the Community Fair. If 212 parents and 386 students were at the event, how many teachers attended?
Answer:
[tex]\boxed{\textsf{ The number of Teachers that attented is \textbf{ 164 } .}}[/tex]
Step-by-step explanation:
Here it's given that a total of 762 people consisting of parents, students, and teachers, attended the Community Fair. There were 212 parents and 386 students at the fair .That is ,
Number of students:-
[tex]\sf\implies n(students) = 386 [/tex]
Number of parents :-
[tex]\sf\implies n(parents) = 212 [/tex]
Number of teachers :-
[tex]\sf\implies n(teachers) = ? [/tex]
Here the Number of teachers could be simply find out by subtracting the number of students and teachers from the total number of attendees .
[tex]\sf\implies n_{(teachers)}= n_{(total)}- n_{(students)}- n_{(parents)} \\\\\sf\implies n_{(teachers)}= 762 - 386 - 212 \\\\\sf\implies n_{(teachers)}= 762 - 598 \\\\\sf\implies\boxed{\pink{\frak{ n_{(teachers)}= 164 }}}[/tex]
-2x -4y = -10
-7x -4y = -15
What is this in a ordered pair? (x,y)
Answer:
x=1,y=2
-2x-4y= -10 maltiple by -1 then 2x +4y
-7x-4y= -15
therfore 2x+4y=10
-7x-4y=-15 to find x or y you must zero one of them
ther fore 4y-4y=0
then 2x+(-7x)= -5x
-5x=10 +(-15) =-5
-5x = -5
divide by -5 both side,
x =1
to get the value of y the value of x supersed in to equation
-2(1) -4y = -10
-4y =-10 +2
-4y = -8 both dived by -4
y=2
Write the quadratic equation and solve by using the general formula. "Find two consecutive numbers in which the double of the square of the smaller number plus the square of the greater number is 121"
Answer: 6 and 7
Step-by-step explanation:
Let the numbers be x and x + 1
We can form and equation as:
2(x²) + (x+1)² = 121
2x² + (x + 1)(x + 1) = 121
2x² + x² + x + x + 1 = 121
3x² + 2x = 121 - 1
3x² + 2x = 120
3x² + 2x - 120 = 0
3x² - 18x + 20x - 120 = 0
3x(x - 6) + 20(x - 6)
Therefore, x - 6 = 0
x = 0 + 6
x = 6
The numbers are 6 and 7
The two numbers given in the statement is required.
The two numbers can be [tex]6,7[/tex] or [tex]-\dfrac{20}{3},-\dfrac{17}{3}[/tex]
Quadratic equationLet [tex]x[/tex] be the first number
[tex]x+1[/tex] be the next consecutive number
From the statement we get
[tex]2x^2+(x+1)^2=121\\\Rightarrow 2x^2+x^2+2x+1=121\\\Rightarrow 3x^2+2x-120=0\\\Rightarrow x=\dfrac{-2\pm \sqrt{2^2-4\times3\left(-120\right)}}{2\times3}\\\Rightarrow x=6,-\dfrac{20}{3}[/tex]
If [tex]x=6[/tex]
the other number is [tex]x+1=6+1=7[/tex]
If [tex]x=-\dfrac{20}{3}[/tex]
the other number is [tex]x+1=-\dfrac{20}{3}+1=-\dfrac{17}{3}[/tex]
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Each of these numbers is written as a product of prime factors.
Note: 539 = 11 x 7²
847 = 7 x 11²
Use this information to write:
(a)539/847 as a fraction in its simplest form.
(b)55/539 as a fraction in its simplest form.
Answer:
a)539/847=
11×7²
____=7^(2-1)/11^(2-1)=7/11
7×11²
Step-by-step explanation:
(b)55/539=(5×11)/( 11 x 7²)=5/7²
What is 5+5x3+4x6x9x2x2+45
Answer:
929
Step-by-step explanation:
5 + 5x3 + 4x6x9x2x2 + 45 =5 + 15 + 864 + 45 =929is anyone able to help please!
Answer:
4480ft³
Step-by-step explanation:
formula: V=⅓Bh (B- base) (h-hight)
B=L×W, B=17.5×32= 560
h=24ft
V=⅓(L×W)h
V=⅓(560)24
V=⅓(13440)
13440÷3=4480ft³
7b+8<100 how many books can Brian buy without overspending
Answer:
Step-by-step explanation:
7b + 8 < 100
subtract 8 from both sides
7b < 92
divide both sides by 7
b < 92/7 ≅ 13.1
Brian can buy at most 13 books.
Answer: You have to plug in the numbers.
So first let's plug in 13. 7*13+8=99
Now 15. 7*15+8=113
Now 18. 7*18+8=134
Lastly 20. 7*20+8=148
The answer is 13.
Step-by-step explanation:
The triangles are similar. Find the missing side.*
- 36
- 25
- 29
Step-by-step explanation:
[tex] \frac{30}{6} = \frac{x}{5} \\ x = 25[/tex]
Someone please help me state all the possible names for the figure
Please help this is geometry I would really appreciate it <3
Answer:B
Step-by-step explanation:
Please hep I really need this answered
Answer: D) 1/32
Step-by-step explanation:
What is the value of x in simplest radical form?
Answer:
x =97
Step-by-step explanation:
perpendicular (p) = 65
base (b) = 72
hypotenuse (h) = ?
We know by using Pythagoras theorem
h = √p² + b²
= √ 65² + 72²
= √9409
= 97
Use the graph to find the solutions of –1/2 x^2 – x + 4 = 0.
Answer:
For the problems presented, the following are the answers:
1. No graph is provided, sorry.
2. 2, 1/2
3. 12m
4. 30
5. 1.1, 9.1
6. 10.35, 1.35
22. -6, 2
Step-by-step explanation:
Please mark me brainliest if my answer is correct thank you and have a nice day