Answer:
q is 4
Step-by-step explanation:
[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]
let gradient of the line joining (4, q) to (6, 5) be x
let gradient of the line joining (0, 0) to (4, q) be y
[tex]y = 2x[/tex]
therefore:
[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]
collect like terms:
[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]
Let,
The gradient of line joining (4, q) to (6, 5) be "x".The gradient of line joining (0, 0) to (4, q) be "y".As we know,
[tex]Gradient = \frac{y_2-y_1}{x_2-x_1}[/tex][tex]y = 2x[/tex]then,
→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]
[tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]
[tex]\frac{q}{4} = 5-q[/tex]
By applying cross-multiplication, we get
[tex]q = 4(5-q)[/tex]
[tex]q = 20-4q[/tex]
By adding "4q" both sides, we get
[tex]q+4q= 20-4q+4q[/tex]
[tex]5q = 20[/tex]
[tex]q = \frac{20}{5}[/tex]
[tex]q = 4[/tex]
Thus the above value is correct.
Learn more about gradient here:
https://brainly.com/question/25292773
The difference between a number and 7 can be written as
Answer:
7-n
Step-by-step explanation:
The difference means to subtract the unknown number from 7.
Evaluate the expression
Answer:
-4/7
Step-by-step explanation:
5(-1)^2-(-4)^2+3 / 2(-1)-4(-4)
=[5-16+3]/[-2+16]
=-8/14
Find the minimum value of the function:
f(x) = x2 + 9x – 16.
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=-3
Step-by-step explanation:
-4(-2x+5)-5x+5=-24
8x-20-5x+5=-24
3x-15=-24
3x=-9
x=-3
I hope that this helped you!
The expression 146 - 144 is equal to
O 142
1
14 10
Step-by-step explanation:
I am sure you mistyped something here and/or there is something missing.
because 146 - 144 = 2
and nothing in the answer options shows anything like it.
now, if the problem actually said for example
14×6 - 14×4
that could be expressed as
14×(6-4) = 14×2
and that could be the first answer option (also with missing multiplication symbol).
The height of
the
glass
is 7cm and radius is 3cm if the glass is half filled with water find the height of the water.find the area of the water
Hey there! I'm happy to help!
This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.
To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).
Our radius is 3cm.
3
We square it.
3²=9
Multiply by 3.14.
9×3.14=28.26
Now that we have our circle base area, we multiply it by the height (7 cm).
28.26×7= 197.82
This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.
197.82/2=98.91
We can also multiply our circle base by 3.5, which will give us half of the full height.
So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.
Have a wonderful day and keep on learning! :D
halp please and thank you??????????
Answer:
[tex]thank \: you[/tex]
6n 1/2 y 1/2
its solved, here ypu go
Hi how to solve this question n isquereroot of 2 n-5; where n=4
Answer:
Remove the radical by raising each side to the index of the radical.
n= 25.
please answer this, I'd appreciate it
Simplify too
Answer:
A.) w² + 3w in²
B.) 28 in²
Step-by-step explanation:
A.)
Let w = width and l = length.
The area of a rectangle can be written as length · width (base · height). The problem informs us that the length of the rectangle is 3 inches greater than the width. Therefore, l can also be written as w + 3. We can use this to form a polynomial that represents the area of the rectangle.
A(rectangle) = lw = (w + 3) · w = w² + 3w
B.)
Use the polynomial we previously found to find the area.
A(rectangle) = (4)² + 3(4) = 16 + 12 = 28 in²
Model:
b. (x + 3)(x^2 – 3x + 27 )=
(x+3)(x^2-3x+27)
x^3-3x^2+27x+3x^2-9x+81
x^3+19x+8
Find f(-3) if f(x) = -2x^2 + x + 3 and g(x) = -2x + 1
HELP please explain how to do it
Since you're trying to find f(-3), your function that you have to plug -3 into will be f(x).
f(-3) = -2(-3)^2+(-3)+3
f(-3) = -2(9)+(-3)+3
f(-3) = -18-3+3
f(-3) = -18 is your final answer
Find the least common multiple of 9 and 15
Answer:
45
Step-by-step explanation:
9:9,18,27,36,45
15:15,30,45
Answer:
45
Step-by-step explanation:
The least common multiple is the smallest number found between the two numbers, in this case 9 and 15, while skip counting from each number. Or the like the multiplication table.
Multiples for 9:
9, 18, 27, 36, 45, 54, 63...
Multiples for 15:
15, 30, 45, 60, 85...
45 is the first and common number that appears in both multiples of 9 and multiples of 15. Therefore, it will be the least common multiple of 9 and 15.
Find the area of the circle.
Use 3.14 for it.
d = 8 cm
A = [?] cm2
A= 7Tr2
Answer:
50.24 cm^2.
Step-by-step explanation:
If d = 8 then r = 4 cm.
Area = 3.14 * r^2
= 3.14 * 4^2
= 50.24 cm^2.
Simplify root 20 divided by root 5
Answer:
2
Step-by-step explanation:
√20 ÷ √5
√20/√5
=> √(20/5)
=> √4
=> 2
please answer these question I will mark brainliest please only do part c and f
Answer:
c.15+2z/6x-12y
f.7a+b/4a-6b
Step-by-step explanation:
z+1/x-2y - 2x-3/2x-4y + z/3x-6y
z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)
6(z+1)-3(2z-3)+2z
15+2z/6x-12y
3a/2a-3b - a+b/2(-3b+2a)
6a+a+b/2(2a-3b)
7a+b/4a-6b
(b) calculate the area of a triangle 7.8 cm 12.8 cm
Answer:
49.92 cm²
Step-by-step explanation:
Area of a triangle = base × height ÷ 2
7.8 × 12.8 ÷ 2 = 49.92
If it costs $5.35 per day for a 5 day work week to ride the bus, and a weekly pass is $25, how much could a person save by buying the pass?
Answer:
$1.75
Step-by-step explanation:
basically we are comparing
5 daily passes vs. a weekly pass.
5 daily passes = 5×$5.35 = $26.75
a weekly pass = $25.00
so, the difference is 26.75 - 25 = $1.75
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fast
Answer:
m = 2Step-by-step explanation:
[tex] \frac{(5m - 4)}{6} - 1 = 4m - \frac{(3m + 10)}{2} [/tex]
[tex] = > \frac{5m - 4 - 6}{6} = \frac{8m - 3m - 10}{2} [/tex]
[tex] = > \frac{5m - 10}{6} = \frac{5m - 10}{2} [/tex]
[Cross Multiplication]
=> 2(5m - 10) = 6(5m - 10)
=> 10m - 20 = 30m - 60
=> 60 - 20 = 30m - 10m
=> 40 = 20m
[tex] = > m = \frac{40}{20} [/tex]
=> m = 2 (Ans)
A pet store had 698 goldfish and 606 clown fish. To the
nearest hundred, what is the total number of both types of
fish?
Answer:
700 and 600
Step-by-step explanation:
please give me brainly <3
Need help is correct and with explanation will give BRILLIANT CROWN!!! Help Pls
Answer:
We can cancel out A and B because there is no distributive property, and then I would say its C or the 3rd one.
Step-by-step explanation:
I used the cancelling out method.
Simplify the following expression
by combining like terms.
Answer:
5d² - 3d
Step-by-step explanation:
Given
4d² + d² - 2d - d ← collect like terms
= (4 + 1)d² + (- 2 - 1)d
= 5d² + (- 3)d
= 5d² - 3d
What is the ratio of all the what is the ratio of all the
marbles to yellow marbles? State the letter of the correct answer.
A. 2:15
B. 1:15
C. 15:1
D. 15:2
5l 250ml ratio
........................
[tex]\\ \rm\longmapsto \dfrac{5L}{250mL}[/tex]
[tex]\\ \rm\longmapsto \dfrac{5000mL}{250mL}[/tex]
[tex]\\ \rm\longmapsto \dfrac{20}{1}[/tex]
[tex]\\ \rm\longmapsto 20:1[/tex]
In the expression (x2 + 3), the base is _____.
Answer:
x is the base in (x^2 + 3)
Step-by-step explanation:
The base is x because it is being raised to a square or to the 2nd power in (x^2 + 3). The base of an expression or exponent is always the number that is being raised to a power.
In the expression (x2 + 3), the base is x.
Factor 3x^3 + 27x^2 + 60x
Answer: 3x(x+4)(x+5)
Step-by-step explanation:
The length of a rectangle is three times its width. It the perimeter of the rectangle is 96m, find the length and breadth of the rectangle
Let the width, w = x m
So, according to the Question,
The length, l = 3x m
Perimeter of a rectangle = 2 (l + w) m
Perimeter of the rectangle = 96 m
It's equation will be,
2 (3x + x) m = 96 m
or, 4x m = 96/2 m
or, 4x m = 48 m
or, x m = 48/4 m
or, x m = 12 m
Therefore, the width and the length of the rectangle is 12 m and 3(12) m = 36 m respectively.
Transformation is when a shape has been copied, which means that the shape has the same size, area, angles and side lengths. What does it mean when the shape has rotated
Answer:
I think it is called a rotation or reflection.
Step-by-step explanation:
HHHHEEELPPPPPPPPPPRPOFE
Answer:
12.75
Step-by-step explanation:
Given the equations
x - y = 3.5 → (1)
[tex]\frac{x+y}{2}[/tex] = 11 ( multiply both sides by 2 to clear the fraction )
x + y = 22 → (2)
Add (1) and (2) term by term to eliminate y
2x + 0 = 25.5
2x = 25.5 ( divide both sides by 2 )
x = 12.75
Substitute x = 12.75 into (2)
12.75 + y = 22 ( subtract 12.75 from both sides )
y = 9.25
The 2 numbers are 12.75 and 9,25
With the larger number being 12.75
By which method can the right triangles below be proven congruent?
Select the best answer from the choices provided.
А.LA
B.LL
C.HL
D.The triangles cannot be proven congruent.
Answer: hl
Step-by-step explanation:
I think but I’m prob wrong
Lauren spent $3.26 for lunch on Tuesday. She spent $3.56 on Wednesday and $3.29 on Thursday. Order the prices from greatest to least. Draw a number line to support my the answer
The number line visually shows the order of the prices, with $3.56 on the right (the greatest), followed by $3.29, and then $3.26 on the left (the least).
$3.56 $3.29 $3.26
|------------|------------|
To order the prices from greatest to least, we'll compare the amounts spent on each day:
1. Wednesday: $3.56
2. Thursday: $3.29
3. Tuesday: $3.26
So, in order from greatest to least, the prices are:
$3.56 > $3.29 > $3.26
Now, let's represent this order on a number line:
$3.56 $3.29 $3.26
|------------|------------|
The number line visually shows the order of the prices, with $3.56 on the right (the greatest), followed by $3.29, and then $3.26 on the left (the least).
To know more about number:
https://brainly.com/question/23178874
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