Answer:
[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{y=-2x-3} \atop {y=2x+5}} \right.[/tex]
Substitute into one of the equations
[tex]-2x-3=2x+5[/tex]
Rearrange variables to the left side of the equation
[tex]-2x-2x=5+3[/tex]
Combine like terms
[tex]-4x=5+3[/tex]
Calculate the sum or difference
[tex]-4x=8[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]
Cross out the common factor
[tex]x=-2[/tex]
Substitute into one of the equations
[tex]y=-2\times\left(-2\right)-3[/tex]
Calculate
[tex]y=1[/tex]
The solution of the system is
[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]
I hope this helps you! Don't forget to check the picture I uploaded as well
:)
Answer:
[tex]\displaystyle [-2, 1][/tex]
Step-by-step explanation:
Use the Elimination method sinse both coefficients in the system are OPPOCITES:
[tex]\displaystyle \left \{{{y = -2x - 3} \atop {y = 2x + 5}} \right.[/tex]
2y = 2; 1 = y [Plug this y-coordinate back into the system to get the x-coordinate of −2 (−2 = x).]
I am joyous to assist you at any time.
There is a rope running from the
top of a flagpole to a hook in the
ground. The flagpole is 6 meters
high, and the hook is 8 meters
from its base. How long is the
rope?
Can someone help me pls!
Answer:
The length of the rope = 8.94 meters
Step-by-step explanation:
The flagpole is 8 meters high
The hook is 4 meters from its base and the hook is in the ground
The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters
Write the equation of the line that passes through the points (-6,6) and (7,7)
Answer:
y = 1/13 x + 84/13 or 13y = x + 84
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (7 - 6) / [(7 - (-6)]
= 1 / 13
Solve for b. Use (-6, 6)
y = mx + b
6 = 1/13 (-6) + b
6 = -6/13 + b
6 + 6/13 = b
84/13 = b
Substitute the m and b:
y = mx + b
y = 1/13 x + 84/13 or 13y = x + 84
Solve for r.
6+ -6 = r
What’s r?
Answer:
0
Step-by-step explanation:
2(5x + 3x2 -4) - (6x - 9)
Answer: X=3
Step-by-step explanation:
and the answer to the problem is 4x+13
Answer: 4x+13
Solution Steps
2(5x+3×2−4)−(6x−9)
Multiply 3 and 2 to get 6.
2(5x+6−4)−(6x−9)
Subtract 4 from 6 to get 2.
2(5x+2)−(6x−9)
Use the distributive property to multiply 2 by 5x+2.
10x+4−(6x−9)
To find the opposite of 6x−9, find the opposite of each term.
10x+4−6x−(−9)
The opposite of −9 is 9.
10x+4−6x+9
Combine 10x and −6x to get 4x.
4x+4+9
Add 4 and 9 to get 13.
4x+13
Which is not true about the graph of f(x) = |3x+2|
Answer: A
Step-by-step explanation:
Real numbers include negative numbers, and |3x+2| is always nonnegative.
what is the circumference of a circle with the radius of 5 cm use 3.14 for pi
Answer:
31.42cm
Step-by-step explanation:
What is the length, in units, of side B’C?
Answer: 1.25
Step-by-step explanation:
Solve for X, and show the equation you would use to solve.
Opposite interior angles are equal, so
4x - 10 = 2x + 20
2x - 10 = 20
2x = 30
x = 15
Answer:
4x-10=2x+20(being alternate angle)
or,4x-2x=20+10
or,2x=30
or,x=30/2
or,x=15
again,
4x-10 (putting the value of x)
=4×15-10
=60+10
=70
2x+20 (putting the value of x)
=2×15+20
=30+20
=50
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solved !!!
-------------
PLS help Thank You !!!!
Answer:
4
Step-by-step explanation:
40 - (18÷3)²
40 - (6)²
40 - 36
4
i think this is right
Answer:
(b) Jo answered 4 which is the right answer.
Step-by-step explanation:
First, you have to remember PEMDAS which is parentheses, exponents, multiplication, division, addition, and subtraction.
In this case, you need to do 18/3 first because that is in the parentheses which always goes first.
Your answer should be 6 and you should write the question like this:
40-(6)^2
Now, you need to do the exponent next which is 6x6 not 6x2.
Remember, exponents, are the base which is the number 6 multiplied by itself to that many times so in this case, our base is 6 and the exponent says we need to have 6 multiplied to itself 2 times. 6x6
We like to say 6 to the power of 2 is 36.
So now you need to write the simplified equation to this:
40-36=n
Our n variable is a placeholder for our answer.
Now it's basic subtraction which is 40-36 = 4
Therefore, Jo had the right answer.
PLS HELP 100POINTS BRAINLIEST
Answer: A Draw and label a net for the pyramid
Step-by-step explanation:
Because I know
how to do this stuff
#b
Area of triangle:-
1/2BH1/2(8)(10)4(10)40mm²Area of 4 triangles=40(4)=160mm²
Area of base:-
8²64mm²TSA:-
64+160224mm²What is the volume of a rectangular prism with dimensions of 7, 3, and 2?
Answer:
volume of a rectangular prism = length * breadth* width = 7*3*2= 42
help
I cant solve this question
Answer:
8 because if you add 1 ×8 you will get the answer 8
PLEASE HELP 30 points
Select the correct answer.
Simplify the expression.
$768x845
OA. 4x2y $34
B. 4x2y2 3x2y
O c. 2xy2 +2x
OD. 4r3y +3.72
Reset
Answer:
A
Step-by-step explanation:
Given expression:
[tex]\sqrt[4]{768x^8y^5}[/tex]
Using rule [tex]\sqrt{ab} =\sqrt{a} \cdot \sqrt{b}[/tex]
[tex]=\sqrt[4]{768}\cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]
Prime factorization of 768:
[tex]=\sqrt[4]{2^8\cdot3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]
[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]
Using rule [tex]a^{b+c}=a^ba^c[/tex] :
[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^{4+1}}[/tex]
[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4y^1}}[/tex]
[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4} \cdot\sqrt[4]{y}[/tex]
Using rule [tex]\sqrt[a]{b^c} =b^{\frac{c}{a}}[/tex] :
[tex]=2^{\frac84}} \cdot \sqrt[4]{3} \cdot x^{\frac84}\cdot y^{\frac44} \cdot \sqrt[4]{y}[/tex]
[tex]=2^2 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]
[tex]=4 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]
Gather like terms:
[tex]=4 \cdot x^2\cdot y\cdot \sqrt[4]{3} \cdot \sqrt[4]{y}[/tex]
[tex]=4x^2y \sqrt[4]{3y}[/tex]
12+6÷4-3=
what's the answer?
Answer:
first, you would divide because P.E.M.D.A.S. so 6/4=1.5 then you would add 12 making it 13.5 and -3 is 10.5
Step-by-step explanation:
mr clean
Answer:
10.5
Step-by-step explanation:
Using PEMDAS,
12 + 6 / 4 - 3
12 + 1.5 - 3
13.5 - 3
= 10.5
x-4=12 What IS The Answer
Answer:
x = 16
Step-by-step explanation:
Add 4 to both sides, in order to isolate x:
x - 4 = 12
x = 16
So, x = 16
The perimeter of a rectangular painting is 324 cm.
If the length of the painting is 87 cm, what is its width?
Answer:
The width is 75.
Step-by-step explanation:
First you divide 324 by 2, because the formula is: 2(l + w)
324 ÷ 2 = 162.
Then I would subtract 162 by 87 because of the formula. (To find out width)
162 - 87 = 75
The width is 75.
You can double check by in-putting them into the above formula.
2(75 + 87) = 324
Find the meadin for these job salaries
[tex]Answer:[/tex]
The median is $[tex]40,000[/tex]
To find a median, find the averaging number, rather the middle number.
The middle number will always be your answer.
In the figure below, which answer choice correctly identifies the name of two line segments?
A.
B.
C.
D.
Answer:
C.
Step-by-step explanation:
A line segment has a bar above with no arrow heads.
Answer: C.
In Reggie's class, 75% of the students brought their lunches on
Monday. If 21 students brought their lunches, how many students
are in the class in all?
Answer:
28 students
Step-by-step explanation:
The easiest way to solve this would be to set up an equation.
We can start by naming x the number of students in Reggie's class.
Therefore, our equation would be:
0.75x=21
We can get this by knowing 75% of the students brought their lunches, and there were 21 students that did.
75% is equivalent to 75/100 which is 0.75.
Next, we can solve the equation.
0.75x=21
To do this, we have to isolate x.
We need to reverse the multiplication with division.
We can do this by dividing both sides by 0.75 (What you do to one side you must do to the other)
0.75x/0.75=21/0.75
x=28
This means that there are 28 students in the class.
Step-by-step explanation:
In Reggie's class, 75% of the students brought their lunches on
Monday. If 21 students brought their lunches, how many students
are in the class in all?
28 students
Answer this if you need points :)
hi bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Which relation is a function?
Answer:
B
Step-by-step explanation:
Completing proofs involving linear pairs.
Answer:
Try a,d,b,a
Step-by-step explanation:
Work out the sizes of angles a, b and c. Give reasons for your answers.
Answer:
I think that you are wrong with that question
Answer:
a = 50° , b = 60° , c = 70°
Step-by-step explanation:
a and 130° are adjacent angles on a straight line and sum to 180° , then
a = 180° - 130° = 50°
b and 60° are vertically opposite angles and are congruent , so
b = 60°
the sum of the 3 angles in a triangle = 180° , that is
a + b + c = 180°
50° + 60° + c = 180°
110° + c = 180° ( subtract 110° from both sides )
c = 70°
what is a adjacent angles???
Answer:
Two anglebare Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
2+2=
XD
just points
WRITE EVERYTHING
Answer:
2+2=4, because 2 is made up of two ones and theres 2 2's which makes it 1+1+1+1=4
Step-by-step explanation:
Answer:
2 + 2 = 4.
Step-by-step explanation:
2 plus 2 is equal to 4.
You move 2 spaces to the right on a number line:
2 -> 3 -> 4
Therefore, 2 + 2 = 4.
I hope this helps!
A triangle has sides with lengths of 6 feet, 16 feet, and 17 feet. Is it a right triangle?
Answer:
No.
Step-by-step explanation:
This is not a right triangle. Use the Pythagorean Theorem, [tex]a^{2} + b^{2}=c^{2} \\[/tex], but write it as [tex]c^{2}= a^{2}+b^{2}[/tex]. The hypotenuse would be 17 feet, so you can insert 17 as [tex]c^{2}[/tex]. [tex]a[/tex] and [tex]b[/tex] could be 6 or 16. It can be written either way. The simplified equation would be:
[tex]c^{2}=a^{2} +b^{2} \\17^{2} = 6^{2} + 16^{2} \\17^{2} = 36+ 256\\17^{2}= 292\\289\neq 292[/tex]
This isn't a right triangle.
I hope this helped :)
the difference of 7 and the product of 4 and a is 11
Answer:
7 - 4a = 11
Hope this helps!
The sum of two
numbers is 184 and
their difference is 2.
find the two numbers.
Answer:
128 and 56
Step-by-step explanation:
to confirm this, you can add both numbers. 128+56 which equals to the answer, which is, 184!
WILL GIVE BRAINLIEST!!!!!this stop sign is a regular octagon. The length of one side is 8 inches and the length of the apothem is 9 inches. Find the area of the stop sign.
Answer:
A≈309.02
Step-by-step explanation:
A=2(1+square root of 2)a^2
2x+2x+2=4x+2 what does it equal
Answer:
4x+2=4x+2
Step-by-step explanation: