solve the following simultaneous linear equation x+2y=5 and x+3y=8
Answer:
x= -1, y= 3
Step-by-step explanation:
First, label the 2 equations.
x +2y= 5 -----(1)
x +3y= 8 -----(2)
(2) -(1):
x +3y -(x+2y)= 8 -5
x +3y -x -2y= 3
y= 3 (simplify)
subst. y=3 into (1):
x +2(3)= 5
x +6= 5
x= 5 -6 (bring constant to 1 side)
x= -1
Help plz!!!!!!
−3(4 − a) = 6
Answer:
a = 6
Step-by-step explanation:
use distribution method:
-3(4-a) = 6
-12+3a = 6
3a = 6+12
3a = 18
a = 18/3 = 6
_____________________________
Hey!!
Solution,
-3(4-a)=6
or, -12+3a=6
or, 3a=6+12
or, 3a=18
or,a=18/3
a=6
So the value of X is 6.hope it helps..
Good luck on your assignment
___________________________
A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume
Answer:
72 cm³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Let's substitute the given values into this formula:
V = lwh
V = (4)(6)(3)
Solve:
V = (4)(6)(3)
V = (24)(3)
V = 72
Therefore, the volume is 72 cubic centimeters.
Answer:
The answer is 72 cm3
Step-by-step explanation:
4 times 6 times 3
24 times 3
72
;))))))
Divide 140 in the ratio 1:2:7
Answer:14:28:98
Step-by-step explanation:
To divide a value by a ratio, we first find the total number of parts:
1+2+7 = 10
Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:
140 divided by 10 = 14.
Part 1: 14 x 1 = 14
Part 2: 14 x 2 = 28
Part 3: 14 x 7 = 98
Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work
Answer: 12i + 21
Step-by-step explanation:
You want to apply foil to the first two terms.
3 x 1 = 35i x 3 = 15i-4i x 1 = -4i-4i x 5i = -20i^2You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20
So far you have (11i + 23) - (-i + 2).
11i + i = 12i23 - 2 = 21Im 99% sure the answer is 12i + 21
I tried to answer this but not getting the right answer. Can someone help me plzzz
Answer: 17
Step-by-step explanation:
Use the Pythagorean theorem.
C^2 = A^2 + B^2
So, C is always the hypotenuse which is the longest side length and the side length diagonal of the right angle. Side "s" is the hypotenuse.
Square sides AB and BD
It looks like this:
C^2 = 8^2 + 15^2
8^2 = 64
15^2 = 225
225 + 64 = 289
the square root of 289 is 17
17 = s
PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.
Answer:
The other leg is about 21.3 cm
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
11²+b²=24²
121+b²=576
Subtract 121 from both sides
b²=455
b=[tex]\sqrt{455}[/tex]
b≈21.3
Answer:
21.3 cm
Step-by-step explanation:
We need to apply the Pythagorean Theorem.
The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:
a² + b² = c²
Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:
a² + b² = c²
11² + b² = 24²
121 + b² = 576
b² = 576 - 121 = 455
b = √(455) ≈ 21.3 cm
Thus, the answer is 21.3 cm.
~ an aesthetics lover
Which of the following ratios forms a proportion with 4/15?
A: 8/20
B: 7/18
C: 12/45
D:6/25
Answer:
C: 12/45
Step-by-step explanation:
You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.
12/3 =4
45/3 =15
4/15
Which of the following is an x-intercept of the function, f() = x3-5x2 - 8x +48
Answer:
Step-by-step explanation:
x^3 - 5x2 - 8x + 48 = 0
You haven't supplied a list . To confirm which value is the correct one substitute the values for x and see if the result is 0.
Since the last term is 48 you could try some of the factors of 48 : 1, -1, 2, -2, 3 -3 and so on.
A standard die is rolled. Find the probability that the number rolled is less than 4. Express your answer as a fraction in lowest terms or a
decimal rounded to the nearest millionth
Answer:
1/2
Step-by-step explanation:
The results of the roll can be
1,2,3,4,5,6
The rolls that are less than 4 are 1,2,3
P( less than 4) = number of rolls less than 4 / total
= 3/6
=1/2
The perimeter of an equilateral triangle is 120mm.
State the length of one of its sides.
Answer:
[tex]40 \:mm[/tex]
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
[tex]\frac{120}{3} =40[/tex]
Answer:
40mm
Step-by-step explanation:
Perimeter of an equilateral=3a
120=3a
a=120/3
a=40mm
Miquel babysits for 3 hours and eams $15. Which represents the unit rate?
0 $1 per 5 hours
O $15 per hour
0 1 hour per $5
o 55 per hour
Answer:
$5 per hour.
Step-by-step explanation:
$15 per 3 hours.
[tex]15/3=5[/tex]
[tex]3/3=1[/tex]
$5 per 1 hour.
A rectangular prism with length and, width w, and height hhh has a volume of, w, h. What is the volume of a prism which has a base of 5\text{ m}5 m5, start text, space, m, end text by 3\text{ m}3 m3, start text, space, m, end text, and a height of 4\text{ m}4 m4, start text, space, m, end text
Answer:
60 m³
Step-by-step explanation:
A rectangular prism also called a cuboid is a shape that have six faces that are rectangles. The volume of a rectangular prism is the product of its length, width and height, i.e volume = length (l) × breadth (b) × height (h).
Given a prism with a base of length (l) = 5 m by width (w) = 3 m and a height (h) = 4 m.
Volume= l × b × h
Volume = 5 m × 4 m × 3 m = 60 m³
Answer:
60m3
Step-by-step explanation:
Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) What is the best description of this polygon? A. rectangle B. pentagon C. trapezoid D. parallelogram
Answer:
pentegon
Step-by-step explanation:
The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have coordinates of a polygon, the coordinate plane:
points: (1, 1), (1, 8), (4, 7), and (4, 3)
After, connecting the points to each other.
We will see, after joining the points, the polygon will be a trapezoid.
Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
Learn more about the regular polygon here:
brainly.com/question/11810316
#SPJ2
Which is the balanced equation for S3 + O2 – SO2?
O O O O
S8 + 016 — 8S02
Se + O₂ → S₂ + O2
Se + O₂ → S₂0₂
Sg + 802 – 8802
Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters. In parallelogram PQSR, what is PQ
Answer:
9 cm
Step-by-step explanation:
Since PQ and RS are opposite each other, then in a parallelogram, the lengths will be congruent.
Therefore 2x+5=4x+1
2x=4
x=2
If you plug x=2 into the the original equation, you get 9 cm.
The measure of PQ is 9 centimeters.
Important information:
In parallelogram [tex]PQSR, PQ=(2x+5),RS=(4x+1)[/tex]Parallelogram:The oppositie sides of a parallelogram are equal.
[tex]PQ=RS[/tex]
[tex]2x+5=4x+1[/tex]
[tex]5-1=4x-2x[/tex]
[tex]4=2x[/tex]
Divide both sides by 2.
[tex]2=x[/tex]
Now, find the measure of PQ.
[tex]PQ=2x+5[/tex]
[tex]PQ=2(2)+5[/tex]
[tex]PQ=4+5[/tex]
[tex]PQ=9[/tex]
Therefore, the measure of PQ is 9 centimeters.
Find out more about 'Parallelogram' here:
https://brainly.com/question/7099686
Please help me :( I’m struggling
Answer:
im assuming its b because the quality for the pic is bad and i cant really see it
Step-by-step explanation:
Answer:
the answer is c i believe
Given f(x) = –3x – 4, find f(–5).
Answer:
3x
Step-by-step explanation:
because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x
Use the quadratic formula to find both solutions to the quadratic equation given below
Answer:
C and D are correct: -1 and 0.5
Step-by-step explanation:
11. In a group of six young pupils the mean weekly amount of pocket money is £5. When a new pupil joins, the mean weekly pocket money increases to £6. What does the new pupil receive each week ?
Answer:
£12
Step-by-step explanation:
Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.
Now, when they were 6 and the mean is £5, this means that the total is simply
6 * 5 = £30
Now, when a new student join, there is an increase in the value of the mean.
A new student joining means they are now 7 with the total now 7 * £6 = £42
Now the difference between the total of 6 and 7 will be £42 - £30 = £12
This value represents what the new pupil receive each week
If 2x2 - 4x + 6 = 1 then A= 2, B = -4, and C = 6 in general form.
True
False
Answer:
false
Step-by-step explanation:
Write a rational expression that simplifies to (x-1)/(x+2), x≠-4, -2
Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
==========================================================
Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.
----------
Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]
y = f(x) = 2x
Find f(x) when x = 1.
Enter the correct answer.
000
I
DONE
Clear all
000
E?
Answer:
2
Step-by-step explanation:
f(x) = 2x
Let x =1
f(1) = 2*1
f(1) = 2
Answer:
f(1)=2
Step-by-step explanation:
We are given the equation:
f(x)=2x
We also know that x=1. Therefore, we can substitute 1 in for every x.
f(1)= 2(1)
Multiply 2 and 1
f(1)=2
f(x) when x=1 is 2.
Triangle EFG has vertices E(-3,4), F(-5,1), and G(1,1). The triangle is translated so that the coordinates of the image are E’(-1,0), F’(-3,-5), and G’(3,-3).
Answer:
first Horizontal translation right '2' units and vertical translation up '-4' units
E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)
F(-5 +2 , -1 +(-4) → F¹(-3 ,-5)
G( 1+2 , 1+(-4) → G¹(3 ,-3))
Step-by-step explanation:
Explanation:-
Now we will applying below rules
Type of transformations change to co-ordinate point
vertical translation up 'd' units (x,y)→(x, y+d)
vertical translation down 'd' units (x,y)→(x, y-d)
Horizontal translation left 'C' units (x,y)→(x-c, y)
Horizontal translation right 'C' units (x,y)→(x+c, y)
Now we will apply rule is
first Horizontal translation right 'C' units and vertical translation up 'd' units
Given E( -3 ,4 ), F(-5 ,1) and G(1,1)
first Horizontal translation right '2' units and vertical translation up '-4' units
and it translated E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)
F(-5 +2 , -1 +(-4) → F¹(-3 ,-5)
G( 1+2 , 1+(-4) → G¹(3 ,-3))
Answer:C, The answer is the third option
39an angle measures 76° less than the measure of a complementary angle. what is the measure of each angle?
Answer:
14 ° and 76 °
Step-by-step explanation:
We have that two angles are complementary, if the sum of their amplitudes is 90 °.
The complementary angles need not be consecutive or have any point in common.
Alpha and Beta are complementary if:
Alpha + Beta = 90 °
In this case it would be:
X - 76 ° = 90 °
X = 90 ° - 76 °
X = 14 °
Which means that each angle measures 14 ° and 76 °
I’m crying pls help :(
Choose the definition for the function
Answer:
b.
Step-by-step explanation:
everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2
Answer:
The correct option is b.
Step-by-step explanation:
x + 1 ...........................x ≤ 5
x+2 .............................x ≥ 2
Associative
Property
Answer:
Below
Step-by-step explanation:
The associative property states that you can add or multiply numbers in any group.
Ex:
x + y + z = x + y + z
(x + y) + z = x + (y + z)
x * y * z = x * y * z
(x * z) * y = (x * y) * z
Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.
Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.
Division and Subtraction = NO ASSOCIATIVE PROPERTY
Factor completely 10x2 + 2x − 8
Step-by-step explanation:
[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]
Answer:
[tex]2(5x-4)(x+1)[/tex]
You can check the answer by re-distributing the 2 and using the foil method :)
Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?
Answer:
2,752
Step-by-step explanation:
English Translation
A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?
Solution
1 man was going to Bahia
With his 7 sisters.
Total nunber of humans = 1 + 7 = 8 humans
Each of the 7 sisters carried 7 boxes.
Each of the 49 boxes had 7 cats
Total number of cats = 7 × 7 × 7 = 343 cats
Each of the 343 cats had 7 puppies
Total number of puppies = 7 × 343 = 2401 puppies.
Total number of living things going to Bahia
8 humans + 343 cats + 2401 puppies
= 2,752
Hope this Helps!!!
which method can be used to solve 11x13
Answer:
Simple column method
Step-by-step explanation:
11
x 13
33
110
143
Answer:
Use the grid method, since it is the most obvious option. But, you may also use the distribution method.
Step-by-step explanation:
Distribution method:
divide 13 into 10 +3
then multiply 11 with 10 and 3 individually.
This can be written as 11(10+3) = 110+33 = 143
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