Answer:
48. option C : Substitution
49. Option D : ( 3, 6)
Step-by-step explanation:
3x + y = 15 ------------- ( 1 )
y = 2x ------------------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
3x + y = 15
3x + 2x = 15
5x = 15
[tex]x = \frac{15}{5} = 3[/tex]
Substitute x in ( 2 ) :
y = 2x
y = 2 × 3 = 6
The solution to the system of equation is ( 3 , 6 )
Answer:
C and (3, 6 )
Step-by-step explanation:
(48)
Since given y = 2x the best method of solving is by substitution C
(49)
Given the 2 equations
3x + y = 15 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
3x + 2x = 15
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (2) and evaluate for y
y = 2x = 2 × 3 = 6
solution is (3, 6 )
Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2
Answer:
Step-by-step explanation:
Hope this helps u !!
The LCM of 2a(4a² + 10a + 13)(4a² + 13 - 10a).
What is Least Common Multiple?Least Common Multiple, often known as the Lowest Common Multiple, is denoted by the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers.
The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
We have,
16[tex]a^4[/tex] + 4a² + 169 and 8a³ +2a(2a + 13) + 16a²
First, 16[tex]a^4[/tex] + 4a² + 169
= (4a²)² + (2a)² + (13)²
= (4a²)² + 2 . 4a² . 13 + (13)² + 4a² + 104a²
= (4a² + 13)² - (10a)²
= (4a + 13 - 10a) (4a + 13 + 10a)
= (13 - 6a)(13 + 14a)
Second, 8a³ +2a(2a + 13) + 16a²
= 8a³ + 4a² + 26a + 16a²
= 8a³ + 20a² + 26a
= 2a(4a² + 10a + 13)
So, the LCM is
= 2a(4a² + 10a + 13)(4a² + 13 - 10a)
Learn more about LCM here:
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attachment below or above
Answer:
840
Step-by-step explanation:
600×140% =840 hope this helps
Find the 7th term in the
sequence.
-1, 2, -4, 8,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)
Remember to use the correct Order of Operations!
Enter
Answer: -64 Maybe
Step-by-step explanation:
It look like each term goes up by double of the last term.
Why is (0,0) a Y intercept and isn't an X intercept?
Good question. It is supposed to be both the y-intercept and the x-intercept and is the only point on a graph that can be both. Something in wrong in that thing.
CAN SOMEONE GIVE ME THE REAL ASNWER TO THIS IM IN A RUSH
Answer:
145 degrees
Explanation:
A straight line is 180 degrees so minus 180 by 35 to get 145 degrees.
Answer:
The measure of the unknown angle (n) is 145
Step-by-step explanation:
A straight line or angle is 180 degrees so if we subtract the 35 degrees from that we get 145 degrees.
I tried to explain the simplest I could so I hope you understand it.
Hope I helped!!!
A is a set of factors of 12. Which one of the following is not member of A? *
A. 3
B. 4
C. 5
D. 6
Answer:
5
Step-by-step explanation:
3*4=12
4*3=12
6*2=12
but 12 is not factor of 5
Please help thanks! Brainliest
Answer:
-3
Step-by-step explanation:
[tex]\frac{7-25}{-2(-3)}[/tex]
=[tex]\frac{-18}{-2*-3}[/tex]
=[tex]\frac{-18}{6}[/tex]
=-3
[tex]\quad\quad\quad\quad\huge\tt{⟹\frac{7 - 25}{ - 2( - 3)} }[/tex]
Let's try![tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{7 - 25}{ - 2( - 3)} }[/tex]
[tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{-18}{ - 2( - 3)} }[/tex]
[tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{-18}{ 6} }[/tex]
[tex]\quad\quad\quad\quad\huge\tt{ ⟹ - 3} [/tex]
Hence, The answer is:[tex]\quad\quad\quad\quad\huge \boxed{\tt{ \color{green} - 3} }[/tex]
________
#LetsStudy
Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. Show work.
Step-by-step explanation:
the given data is
tanθ = 2.773 and 0<θ<π/2
this implies θ = tan inverse(2.773)
⇒ θ = 70.16°
Therefore, sinθ = sin70.16° = 0.9406
similarly,cosθ = cos70.16° = 0.3393
therefore, values of sinθ and cosθ are 0.9406 and 0.3393 respectively.
Evaluate 15/r - 1 when r =5
Answer:
3.75
Step-by-step explanation:
calculator because yes:)
square root of 64 by division method
hope you understand.....
identify the slope. giving brainlist if y’all answer more my social is ms.korraa
Answer:
-2
Step-by-step explanation:
(1 , 3) = (x1 , y1)
(-2 , 9) = (x2 , y2)
slope = y2 - y2/x2 - x1
=9 - 3/-2 -1
=6/-3
=-2
URGENT: Click on the graph to choose the correct answer to the equation.
x > 2
Answer:
The 4th graph.
Step-by-step explanation:
Its a horizontal line which indicates that x is known and the line begins over 2.
The correct Graph of x >2 has been given which is the 4th option.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have given an equation as x> 2
Clearly, we can see the graph of x> 2 must be an area beyond 2 on the positive X -axis
The points (and only those points) which lie on the graph of the function should satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the given equation.
It is a horizontal line that indicates that the x value is known and the line begins over 2.
Hence, The correct Graph of x >2 has been given which is the 4th option.
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A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of
the wall
Answer:
2 m
Step-by-step explanation:
The model of the situation is a right triangle with legs 1.5 and h the height of the wall. The hypotenuse is the ladder.
Using Pythagoras' identity
h² + 1.5² = 2,5²
h² + 2.25 = 6.25 ( subtract 2.25 from both sides )
h² = 4 ( take the square root of both sides )
h = [tex]\sqrt{4}[/tex] = 2
The height of the wall is 2 m
The height of the wall od the building is, 2 m.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall.
So, Hypotenuse is 2.5 m and Adjacent is 1.5 m.
We know, H² = O² + A².
O² = H² - A².
O² = 6.25 - 2.25.
O² = 4.
O = 2.
Another concept regarding triangles is,
Suppose we have a triangle ABC, with sides a, b and c.
An acute angle triangle is one where a² + b² > c².
It is a right-angle triangle if a² + b² = c2.
It is an obtuse angle triangle if a² + b² < c².
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There is no solution to the following system of equations.
x < 3
y > 3
True
False
Answer:
True
Step-by-step explanation:
We are given that system of equation
x<3
y>3
We have to find that there is no solution of system of equation is true or not.
First we change inequality equation into equality equation
x=3
y=3
When x=0
0<3
It is true equation therefore, the shaded region towards the origin.
When y=0
0>3
It is false equation. Therefore, the shaded region above the origin.
From the graph
There is no solution of system of equation.
Hence, option true is correct.
GRADE 6 MATH. 10 POINTS
NO FAKE ANSWER OR LINK
Answer:
11-
3 / 8 * 5 / 5 = 15 / 40
2 / 5 * 8 / 8 = 16 / 40
16 / 45 + 15 / 45 =
31 / 40
12-
5 / 6 * 9 /9 = 45 / 54
4 / 9 * 6 / 6 = 24 / 54
24 / 54 + 45 + 54 = 69 / 54
69 / 54 =
1 15 / 54
A floor tile is made in the slope of a rectangular polygon the sum of all the interior angles is 1080° if each side is 10cm find perimeter
Given:
Sum of all the interior angles of a regular polygon is 1080°.
Measure of each side is 10 cm.
To find:
The perimeter.
Solution:
The sum of all interior angles of a regular polygon with n side is:
[tex]S=(n-2)180^\circ[/tex]
Sum of all the interior angles of a regular polygon is 1080°.
[tex]1080^\circ=(n-2)180^\circ[/tex]
[tex]\dfrac{1080^\circ}{180^\circ}=n-2[/tex]
[tex]6+2=n[/tex]
[tex]8=n[/tex]
Number of sides of the regular polygon is 8. The measure of each side is 10 cm. So, the perimeter of the regular polygon is:
[tex]\text{Perimeter}=\text{Number of sides}\times\text{Measure of each side}[/tex]
[tex]\text{Perimeter}=8\times 10[/tex]
[tex]\text{Perimeter}=80[/tex]
Therefore, the perimeter of the regular polygon is 80.
Find the measure of AB⎯⎯⎯⎯⎯⎯⎯.
A. 4
B. 7
C. 10
D. 5
Answer: 7
Step-by-step explanation:
find x
6x(6+4)=5x(1+x)
Then x=11
AB= 11-4=7
Answer:
B.) 7
Step-by-step explanation:
I got it correct on founders edtell
Multiply (x-3)(4x+2) using the distributive property.select the answer choice showing the correct distribution.
Answer:
4x² - 10x - 6
Step-by-step explanation:
(x-3)(4x+2)
4x² + 2x - 12x - 6
4x² - 10x - 6
Which is the simplified form?
How many cubic centimeters are in a rectangular prism with a length of 3, a width of 3 and a height of 4
Answer:
I think it would be 36, if you use Area=Length×Width×Height
The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number.
PLEASE PLEASE HELP ME
Answer:
Step-by-step explanation:
I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee
Find the surface area of a cube shaped jewelry gift box with a side length of 7 meters use 6s 2 to help
A.147 square centimeters
B.441 square centimeters
C.686 square centimeters
D.294 square centimeters
Answer:
Option D is correct.
Step-by-step explanation:
Given, the side of a cube is 7 cm.
Total surface area of cube side = [tex]6 {s}^{2} [/tex]
[tex] = 6 \times 7 \times 7[/tex]
[tex] = 294[/tex]
∴ the total surface area of cube is [tex]294 {cm}^{2} [/tex]
Hope it is helpful....I will give u brainliest and 5 star and thanks if its correct
Answer:
5. a) 5b
b) 3b + 2b
Step-by-step explanation:
a) b + b + b + b + b is the same as
5 * b or 5b
b) 5b = 3b + 2b
or 3 * b + 2* b = 5b
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height
Answer:
40cm
Step-by-step explanation:
Given data
Length= 15cm
Width=30cm
Volume= 18liters
1000cm^3= 18liters
18000cm^3= 18liters
We know that volume
Volume= L*W*h
18000= 15*30*h
18000=450h
h= 18000/450
h= 40cm
Hence the height is 40cm
16) One exterior angle of an isosceles triangle is 70°. a) Find the possible measures of the other two exter angles. b) How many answers can you find? Explain.
Answer:
The other exterior angles must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.
Step-by-step explanation:
For an exterior angle, we know that an exterior angle added with its corresponding interior angle is equal to 180 degrees. Thus, 180 = 70 + i, or the interior angle. i is then 110 degrees.
An isosceles triangle has two equal angles. As a triangle can only be 180 degrees. we cannot have 2 of i, as doing so would be equal to 220 degrees. Therefore, for the other two interior angles, they must be equal. Representing o, their angles could be put into an equation of 110 + 2o = 180, so o = 35.
For the other exterior angles, their corresponding interior angles are equal to 35 each, so they must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.
Patty made a banner that has an area of 175 square inches. The length and width of the banner are whole numbers. The length is 7 times greater than the width. What are the dimensions of the banner? The banner has a length of nothing ▼ in.In. sq in.Sq in. and a width of nothing ▼ sq in.Sq in. in.
Answer:
Length = 35
w = 5
Step-by-step explanation:
l x w = area
7y x y = 175
7y^2 = 175
y^2 = 175/7
y^2=25
y=5
The length is 7y, so it's 5 times 7 or 35.
The width is just y, so it's 5.
Help ASAP ! Find PN triangle proportionality
36m÷9m I need this in standard form .
Answer:
4
Step-by-step explanation:
36/9
= 4
Find the scale factor and determine the type of the dilation.