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Maths
GCSE
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The area of square ABCD is 10 cm^2 . Show that x^2 + 6x = 1 (requires diagram which I will draw on the whiteboard).
The area of a square is the length of one side squared (multiplied by itself), so for a square with side length 3, the area will be 32 or 3 x 3, which = 9. For a square with side length x, the area will be x2 .Given that the length of one side is 3 + x, the area will be (3+x)2 This can be written as (3+x) * (3+x), and to expand these brackets we will use the 'crab claw' method. We will take the first value in the first bracket, and times it by both values of the second bracket. So we will multiply 3 by 3 which is 9, and then 3 by x which is 3x. We will then take the second value in the first bracket and multiply is by both values in the second bracket. So we will multiply x by 3 which is 3x, and then x by x, which is x2. Now we will add together all the the values we have just found: x2 + 3x + 3x + 9. Because the only like terms are 3x and 3x, and 3x + 3x = 6x, the final equation we form after expanding the brackets will be x2 + 6x + 9.. Given that the area of the square is given as 10cm2, 10 must be equivalent to x2 + 6x + 9, so we form the equation x2 + 6x + 9 = 10. When balancing equations, you must do whatever you do on one side to the other side. Therefore if we take 9 away from the left hand side, we must take 9 away from the right hand side (10 - 9 = 1), leaving us with x2 + 6x = 1, and completing the question.
Help pleaseee URGENT!!!!!!!show work
Answer:
look below.
Step-by-step explanation:
When there's a letter, it represents a variable. You need to find the value (number) of this variable. This can be done by trying to isolate (put it by itself) the variable. So now, here is how to do it:
1) -2j + 6 = 2j - 8
-2j - 2j = - 8 - 6
-4j/4 = -14/4
j = 14/4
j = 7/2
2) 4h + 6 = 2h - 8
4h - 2h = - 8 - 6
2h/2 = - 14/2
h = -7
3) 9w + 9 = 3w - 15
9w - 3w = - 15 - 9
6w/6 = -24/6
w = -4
4) 45 = -9(e + 8)
45 = -9e - 72
45 + 72 = -9e
117/-9 = e
e = -13
5) 35 = -7t
35/-7 = t
t = -5
6) 12k + 13 = 8k + 33
12k - 8k = 33 - 13
4k/4 = 20/4
k = 5
An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday
Answer:
x=16
Step-by-step explanation:
A $35,000 investment at 5.5% for 30 years. Find the future value.
Answer:
$174438.30
Step-by-step explanation:
35000 × 1.055^30
(original amount) × (decimal percentage)^(years)
35000 × 1.055^30 = 174438.2951
round it up to = $174438.30
ILL MARK U BRAINLIEST!!
Answer:
c
Step-by-step explanation:
find the product of 8 and 6
Please help thanks!!!
Answer:
a)12xy
b)30pqr
Step-by-step explanation:
This question is pretty simple you just need to multiply all the numbers together then add the letters at the back.
Answer:
Answers are below.
Step-by-step explanation:
a) 3x x 4y = 12xy
b) 2p x 3q x 5r = 30pqr
Hope this helps :)
Please help
Here is a list of numbers:
-16, -20, -10, 1, -10, 5, 0 ,8 ,2 ,-7
State the median.
It's -3.5 sorry forgot to put in order
Tom has 25 bumblebee marbles and Marcus has a few more than Tom. If they have 56 marbles in all, how many bumblebee marbles does Marcus have?
Answer:
56-25
= 31
Step-by-step explanation:
Answer: Marcus has 31 marbles
Step-by-step explanation: Tom has 25 marbles and there is 56 total so you subtract 25 from 56 and it sums up to 31. Your welcome.
a.
You start 3 feet from the motion detector and walk
slowly away from the motion detector.
(it’s A.)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Starting 3 feet from the motion detector, you will be at the point (0, 3) on the graph.
A normal walking speed is about 3 mph, or about 4.4 feet per second. So, walking slowly may be something less than 2 feet per second. In the attached graph, we show a walking speed of about 4 feet in 10 seconds, a really slow speed. Since you're walking away, the distance is increasing with time.
What is the value of the following expression?
(−81)(−9)
Answer:
(−81)(−9) = 729
Step-by-step explanation:
Multiply -81 by -9 and you get 729
Answer:
729
Step-by-step explanation:
The expression (−81)(−9) will give the value of 729. Step-by-step explanation: The given expression is (−81)(−9) .
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
Answer:
C
Step-by-step explanation:
The number of tickets the airline still sells will be 88. Then the correct graph is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
An airplane can seat up to 175 passengers.
The airline has already sold 87 tickets for a flight on the airplane.
Then the graph represents the solution to the inequality that the number of tickets the airline still sells will be
Let x be the number of the ticket which need to sell. Then the inequality equation will be
x + 87 ≤ 175
x ≤ 175 - 87
x ≤ 88
Thus, the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
If JL = 16, KM = 4x-1, and KM is a perpendicular bisector of JL, determine which of the following values are correct. Select ALL that apply.
A.x = 3
B.JK = 11
C.KM = 15
D.KL = 17
E.Perimeter of triangle KLM = 22
F.Perimeter or triangle JKL = 50
*see attachment for diagram
Answer:
C.KM = 15
D.KL = 17
F.Perimeter or triangle JKL = 50
Step-by-step explanation:
Given:
JL = 16,
KM = 4x-1
JK = 6x - 7
KL = 5x - 3
✔️Thus, let's find the value of x
Since KM is a perpendicular bisector of JL, it means JM = LM = ½*16 = 8
KM in ∆KJM is equal to KM in ∆KLM.
The angles opposite the two corresponding congruent sides in both triangles are also congruent to each other. Therefore, the third corresponding side and angles would be congruent to each other.
Thus:
JK = KL
6x - 7 = 5x - 3 (substitution)
Collect like terms
6x - 5x = 7 - 3
x = 4
✔️Find JK:
JK = 6x - 7
Plug in the value of x
JK = 6(4) - 7
JK = 24 - 7
JK = 17
✔️Find KM:
KM = 4x - 1
Plug in the value of x
KM = 4(4) - 1
KM = 16 - 1
KM = 15
✔️Find KL:
KL = 5x - 3
Plug in the value of x
KL = 5(4) - 3
KL = 20 - 3
KL = 17
✔️Find the Perimeter of ∆KLM:
Perimeter of ∆KLM = KM + KL + LM
= 15 + 17 + 8
= 40
✔️Find the Perimeter of JKL:
Perimeter of ∆JKL = JK + KL + JL
= 17 + 17 + 16
= 50.
The correct values are:
C.KM = 15
D.KL = 17
F.Perimeter or triangle JKL = 50
10. Model with Math Graph the equation y= -5x on the coordinate plane.
Answer:
Step-by-step explanation:
Akhira started her own landscaping business. She charges $6 an hour for mowing lawns
and $11 for pulling weeds. In September she mowed lawns for 63 hours and pulled
weeds for 9 hours. How much money did she earn in September?
Answer:
$477 in September
Step-by-step explanation:
378 + 99
So if she worked for 63 hours and earns 6 dollars a hour your answer is 378 and if she worked for 9 hours and earns 11 dollars your answer is 99
Select the correct answer. 3 What is the decimal equivalent of 3/10 ? OA 03 O B. 0.03 OC. C. 0.3 OD. D. 0.33 O E. 0.003
Answer:
Step-by-step explanation:
0.3
A math test has 12 multiplication problems and 24 division problems.
What is the ratio value of division problems to total problems?
Type your answer as a fraction in simplest form.
Answer:
3 bc its facts
Step-by-step explanation:
no
Answer:
2:3
Step-by-step explanation:
Total problems=12+24=36
So since there are 24 division problems, 24:36 is the answer
But we must simplify it
So it is 2:3
Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximately 3420 square feet, and the width of the billboard was approximately 57 feet, what was the height of this billboard?
Answer:
60 feet
Step-by-step explanation:
The shape of a billboard = Rectangle
Area of a rectangle = Length(Height) × Width
Area = 3420 square feet
Width = 57 feet
Height = Area of the billboard/Width
Height = 3420 ft²/57 ft
Height = 60 feet
Therefore, the height of the billboard is 60 feet
does anyone know the answer to this question.....0.5x + 1.75 = 10
Answer:
x = 16.5
Step-by-step explanation:
0.5x + 1.75 = 10
Subtract 1.75 from both sides:
0.5x = 8.25
Divide both sides by 0.5
x = 16.5
Check your work!
0.5(16.5) + 1.75 = 10
8.25 + 1.75 = 10
10 = 10
x = 16.5
what is the point on a graph at which the graph crosses thd y-axis
Answer:
y intercept
Step-by-step explanation:
The [y-intercept] is the point where the line crosses the y-axis. Notice that the y-intercept occurs where x = 0, and the x-intercept occurs where y = 0.
Answer:
Y-intercept
Step-by-step explanation:
That is another name for it
HELP MEEEEEEEEEEEEEE!!!!!!
I hope this helps I don't know what method im sorry if it's wrong
Help please, it’s the last question
Answer:
x=5 y=130
Step-by-step explanation:
27x-5 and 11x-5 = 180
27x-5 + 11x-5 = 180
38x- 10= 180
38x= 190
x=5
11(5)-5 = 50
50 + y= 180
y= 130
Write the following linear function in slope intercept form.
Group of answer choices
y=-2x+4
y=-4x+2
y=4x+2
y=2x+4
Answer: y = 2x + 4
suppose: the equation of the line is y = ax + b(a ≠ 0)
the line passes through (0;4) and (-2;0) => 4 = b
-2a + b = 0
⇔ b = 4
a = 2
=> y = 2x + 4
Step-by-step explanation:
please help, no idea what to do
Answer:
It would be a vertical line over the x value 1. Domain would be 1 and range would be all real numbers.
Step-by-step explanation:
Since x=1 then all values of y would have their x to be 1.
Answer:
i think it is one for all of it i have never seen a question like this sorry
Step-by-step explanation:
i have no idea how to do this help please
Answer:
1. cos70°. 2. cos57°
3. cos45°. 4. cos35°
5. cos30°
Step-by-step explanation:
sin20°≈0.342. 0.342≈cos70°
sin33°≈0.545. 0.545≈cos57°
sin45°≈0.707. 0.707≈cos45°
sin55°≈0.819. 0.819≈cos35°
sin60°≈0.866. 0.866≈cos30°
The football team is losing the game in the fourth quarter. There are still 6,700
fans in attendance but 2,500 fans have already left. What was the total
attendance at the game before the fans began to leave?
Question is in the picture :)
Answer: The answer is C. :)
Step-by-step explanation: put it in a calculator like... 3.15 divided by 4.2 and you'll get 0.75 :)
someone help 6th grade math i will give brainliest
Answer:
20%=160
Step-by-step explanation:
800*20/100 or 800/5
Answer:
160
Step-by-step explanation:
Put them in this form: 20/100 /800
Cross multiply to get 16000
Divide by 100: 160
Hope this helps!
Which shows the best estimate of the quotient of 377÷ 12? between 20 and 30 between 30 and 40 between 200 and 300 between 300 and 400
Answer:between 30 and 40
Step-by-step explanation:
Answer:
ikfffghhhhhhggggy7
Step-by-step explanation:
xvgdedfgfffrtttttgggg
g. r. a. p. h. 24x-6y=18.
The following two-way table shows the data for the students of two different grades in a school:
Member of Public Library Not Member of Public Library Total
Grade 6
25
3
28
Grade 7
23
7
30
Total
48
10
58
Based on the relative row frequency, the students of which grade are more likely to be members of the public library?
The students of both grades are equally likely to be members of the public library
No conclusion can be drawn about the chances of a student being a member of the public library
Grade 7
Grade 6
Answer:
6th
Step-by-step explanation:
the chart says not, 7th has majority
The students of grade 6 are more likely to be members of the public library
What is probability?Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.
The students of which grade are more likely to be members of the public library are determined below:Grade 6:
The total number of students who are a member of the public library = 25
The total number of students = 28
P(grade 6 students who are members of the public library.) = 25/28
= 0.892
Grade 7:
The total number of students who are a member of the public library = 23
The total number of students = 30
P(grade 6 students who are members of the public library.) = 23/30
= 0.767
We can see that grade 6 students are more likely to be members of the public library.
Therefore, we have found that the students of grade 6 are more likely to be members of the public library.
Learn more about probability here: https://brainly.com/question/7965468
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