Answers
[tex]x+2y=14[/tex]
[tex]x=14-2y[/tex]
For the second equation:
[tex]-x+3y=26[/tex]
[tex]-x=26-3y[/tex]
[tex]x=3y-26[/tex]
Then if we set these two equal to each other:
[tex]3y-26=14-2y[/tex]
[tex]5y-26=14[/tex]
[tex]5y=40[/tex]
[tex]y=8[/tex]
Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
[tex]x+2(8)=14[/tex]
Now just solve for x and you'll have your solution.
Related Questions
Which of the following is equivalent to 34 · 3-2?
Answers
PLEASE HELP FOR BRAINIEST ASAP!!
Draw two isosceles triangles, ∆ABC and ∆ADC with common base AC. Vertexes B and D are in the opposite semi-planes determined by AC. Draw the line segment BD. Prove: AC ⊥ BD.
Answers
ΔABC is isosceles triangle Given
AB=CB Definition of isosceles triangle
ΔADC is isosceles triangle Given
AD=CD Definition of isosceles triangle
BD=BD Reflexive property
ΔBAD=ΔBCD SSS theorem
∠ABE=∠CBE CPCTC
∠BAE=∠BCE Definition of isosceles triangle
ΔABE=ΔCBE ASA theorem
∠AEB=∠CEB CPCTC
∠AEB+∠CEB =180 Linear pair of angles are supplementary
∠AEB=∠CEB =90 Algebra
∠AEB is a right triangle Definition of right triangle
AC ⊥ BD Definition of perpendicular
Can someone please help me with number 37?
Answers
Answer:
x = 10Step-by-step explanation:
[tex]4-(3x-5)=6-(2x+7)\\\\/-(a+b)=-1(a+b)=(-1)(a)+(-1)(b)-\text{distributive property}/\\\\4-3x-(-5)=6-2x-7\\\\4-3x+5=6-2x-7\qquad\text{combine like terms}\\\\-3x+(4+5)=-2x+(6-7)\\\\-3x+9=-2x-1\qquad\text{subtract 9 from both sides}\\\\-3x+9-9=-2x-1-9\\\\-3x=-2x-10\qquad\text{sdd}\ 2x\ \text{to both sides}\\\\-3x+2x=-2x+2x-10\\\\-x=-10\qquad\text{change the signs}\\\\\boxed{x=10}[/tex]
Answer: [tex]x=10[/tex]
Simplify both sides of the equation
[tex]4-(3x-5)=6-(2x+7)[/tex]
[tex]4+-1(3x-5)=6+-1(2x+7)[/tex] (Distribute the Negative Sign)
[tex]4+-1(3x)+(-1)(-5)=6+-1(2x)+(-1)(7)[/tex]
[tex]4+-3x+5=6+-2x+-7[/tex]
[tex](-3x)+(4+5)=(-2x)+(6+-7)[/tex] (Combine Like Terms)
[tex]-3x+9=-2x+-1[/tex]
Add 2x to both sides
[tex]-3x+9+2x=-2x-1+2x\\-x+9=-1[/tex]
Subtract 9 from both sides
[tex]-x+9-9=-1-9\\-x=-10[/tex]
Divide both sides by -1
[tex]-x/-1=-10/-1\\x=10[/tex]
∠DAC and ∠CAB are adjacent. m∠DAC = 53°, m∠DAB = 64°. What is the measure of ∠CAB?
A) 11°
B) 117°
C) 53°
D) 64°
Answers
∠CAB = 64 - 53
∠CAB = 11
answer
A) 11°
Given m∠P = 38° and m∠O = 70°, find m∠1.
38
72
108
142
pls
Answers
180 - 38 - 70 = 72
all corners P O 1
ANSWER:The last corner is 72 degrees big.
Answer:
The answer is m∠1 = 72°
Step-by-step explanation:
One of the properties of a triangle is that all the angles of the triangle must add up to 180°.
Therefore:
m∠P + m∠O + m∠1 = 180°
Given that:
m∠P = 38° and m∠O = 70°
We can conclude that:
38° + 70° + m∠1 = 180°
m∠1 = 180° - 38° - 70°
m∠1 = 72°
What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.
Answers
a^2 +b^2 = (2.5sqrt(2))^2
2a^2 = 6.25 *2
a^2 = 6.25
a = sqrt(6.25)
a = 2.5
length of each side = 2.5 units
Is the following relation a function? {(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)}
Answers
This relation is NOT a function because u have repeating x values...u have 2 x values that are 0.3
Answer:
No, the given relation is not a function.
Step-by-step explanation:
Consider the given relation
[tex]\{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)\}[/tex]
We need to check whether the given relation is function or not.
A relation is a function if there exist a unique value of y for each value of x.
In the given relation, for x=0.3 there exist more than one value of y.
y=0.6 at x=0.3
y=0.7 at x=0.3
For one input there exist more than one output. Therefore, the given relation is not a function.
For a craft project, two equilateral triangles are taped together to create a quadrilateral. What is the quadrilateral? rhombus rectangle trapezoid square
Answers
Answer:- The quadrilateral must be a rhombus.
Explanation:-
Given :-For a craft project, two equilateral triangles are taped together to create a quadrilateral.
We know that an equilateral triangle is a triangle in which all the sides and angles are equal such that its each interior angle should be 60°.
If we join two equilateral triangle by to create a quadrilateral then the sides of the quadrilateral would be same as it was constructed by equilateral triangle.
Then the interior angle for the sides which are not joint will remain same as 60°.
But the interior angle for the vertex of quadrilateral which has formed by joining two triangles will become 60°+60°=120°.
Thus it is not a square , rectangle (no right angle )or trapezoid(quadrilateral have equal sides).
Therefore, the quadrilateral must be a rhombus.
Mario baked cookies for the class party. the students ate 3/4 of what mario bought. the students on his bus ate 1/3 of what was left. mario had 6 left when he got home. how many cookies did mario bake?
Answers
An auditorium is to seat 2,400 people. The building code requires three square feet for each person. How many square meters will that auditorium have?
Answers
______________________________________
Explanation:
______________________________________
Method 1)
2,400 person (3 ft² / person) = __?__ m² .
The units of "person" ; 'cancel out"; since "person/ person" = 1 ; and 1/1 = 1.
and we have: "2,400 * (3 ft²) = 7, 200 ft² .
______________________________________
We are ask to find the value, in units of "m² " ;
______________________________________
→ So; we convert "7, 200 ft² " ; to "m² " ;
______________________________________
→ Note the conversion: 1 m² = 10.7639 ft² ;
______________________________________
→ 7, 200 ft² * [ ( 1m²) / ( 10.7639 ft²) ] ;
= [ (7, 200 ) / (10.7639 )] m² ;
= 668.9025353264151469 m² ;
⇒ Round to 668.903 m² .
______________________________________
Method 2)
______________________________________
2,400 person (3 ft² / person) = __?__ m² .
Since we want the answer is units of: "m² " ;
___________________________________________
Let us convert: "3 ft² " to units of: "m² " ; and then rewrite the problem.
___________________________________________
→ Note the conversion: 1 m² = 10.7639 ft² ;
___________________________________________
= [ (7, 200 ) / (10.7639 )] m²
= 668.9025353264151469 m²
⇒ Round to 668.903 m² .
______________________________________
Method 3)
______________________________________
2,400 person (3 ft² / person) = __?__ m² .
______________________________________
→ Note the conversion: 1 m² = 10.7639 ft² ;
______________________________________
(2,400 person) * (3 ft² / person) * [ ( 1m²) / ( 10.7639 ft²) ] ;
= { [ (2,400) * (3) * (1) ] / [ 10.7639 ] } m² ;
= { [ (2,400) * (3) ] / [ 10.7639 ] } m² ; {Note: The "1" can be ignored.}.
= [ (7,200) / (10.7639) ] m² ;
= 668.9025353264151469 m² ;
⇒ Round to 668.903 m² .
___________________________________________________
The sum of the digits of a two-digit number is 7. the new number obtained when the digits are reversed is 27 less than the original number. find the original number
Answers
0 + 7 = 7 (07)
1 + 6 = 7 (16)
2 + 5 = 7 (25)
3 + 4 = 7 (34)
4 + 3 = 7 (43)
5 + 2 = 7 (52)
6 + 1 = 7 (61)
7 + 0 = 7 (70)
Obviously 70 can't be our number, as it would be a one digit number,
Since we're going down in value ( 27 less ) our original number will be a larger number.
52 reversed is 25 which is 27 less than 52.
Our original number is 52 here.
Find three consecutive odd integers whose sum is 117.
Answers
3x+4 =117
3x=117-4=113
Therefore x=113/3=37.7( approx)
What is the equation in point-slope form for the line parallel to y = -2x + 10 that contains J(6, 8)?
a. y - 8 = -2(x - 6)
b. x - 8 = 2(y - 6)
c. y - 8 = 2(x - 6)
d. y + 8 = -2(x - 6)
Answers
m = slope
b = y-intercept
x = variable
y = what you get
Answer: Hello mate!
A linear equation has the form y = ax + b
where x is the variable, a is the slope and b is the x-intercept.
We want to find the pararel line to y = -2x + 10
A paralel line of this, will be another line with the same slope ( -2 in this case) and a different x-intercept; then our line has the shape of:
y = -2x + b
and we know that this line pases through the point (6,8), and with this info we could find the value of b:
8 = -2*6 + b
b = 8 + 12 = 20
then y = -2x + 20 is the pararel line that passes through the point (6.8)
Then the correct answer is the option a:
a) y - 8 = -2(x - 6) = -2x + 12
y = -2x + 12 + 8 = -2x + 20
I need help with my essay questions!! Can someone please help me!! It would mean so much to me!!
24. You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. How confident can you be that your predicted value will be reasonably close to the actual value ?
I get 2 points for this essay. Please help me someone! I really don't know how to answer this!! :[
Answers
so -.015 is very close to 0, you would be not confident at all. This means your prediction is no better than a random guessing.
Use < , > , or = to compare the numbers. 54 68 70 70 55 930 778 703
Answers
70 = 70 (70 is equal to 70)
55 < 930 (55 is less than 930)
778 > 703 (778 is more than 703)
68 < 70
70 = 70
70 > 55
55 > 930
930 > 778
778 > 703
I hope this helps! -Wajiha
What is the benefit of using statistical sampling versus nonstatistical sampling?
Answers
Patty is inviting her friends to a party. She has 30 snack bars and 45 juice boxes, and she wants to give the same number of each item to each friend. Use the drop-down menus to describe how many friends Patty can invite. At most, Patty can invite friends to the party. If she invites that many friends, each will receive snack bars and juice boxes.
Answers
Hope this helps
Help plz
What is the approximate distance between points A and B?
A 3.61
B 9.22
C 10.35
D 12.62
Answers
Answer:
B 9.22
Step-by-step explanation:
Hello
to find the distance, you can use the distance between two points equation
Given
[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})\\\\the\ distance(d)\\\\D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\[/tex]
Step 1
define
[tex]P1=A=(4,3)\\P2=B=(-2,-4)\\[/tex]
Step 2
put the values into the equation
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\D=\sqrt{(-2-4)^{2} +(-4-3)^{2} }\\ D=\sqrt{(-6)^{2}+(-7)^{2} }\\ D=\sqrt{36+49} \\D=\sqrt{85} \\D=9.22[/tex]
the distance between the points is 9.22 ⇒B
Have a great day
the answer you are looking for is....
B 9.22Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.
Answers
Answer:
a. They are same side interior angles. Angle A measures 55°.
They are same side interior angles. Angle A measures 55° which is correct option(A).
What are Interior angles?Interior angles is defined as those that lie inside a shape, or those that are located in the region enclosed by two parallel lines that cross each other at a horizontal angle.
What are Alternate Interior Angles?Alternate Interior Angles is defined as these angles are created when a transversal intersects two parallel lines. The opposing sides of the transversal produce this non-adjacent pair of angles.
What are Vertical angles?Vertical angles is defined as when two lines meet each other at a point. They are always equal to each other, In other words, four angles are created anytime two lines cross or intersect.
What are corresponding angles?Corresponding angles is defined as any pair of angles that are both on the same side of the transversal and of one of the two lines that it intersects.
Given angle measure as 125°
Therefore, they are same side interior angles. Angle A measures 55°.
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given f(x)=x^2-x; find f(-5)
Answers
f(- 5) = (- 5)^2 - ( - 5).
(- 5)( - 5) = 25 so now we have 25 - (- 5). Because there are two negatives back to back, the number becomes a positive so the equation becomes 25 + 5 = 30.
f(- 5) = 30.
Describe in a couple of sentences what key features you can identify from the graph of a quadratic equation?
Answers
The roots. These are the points where the graph crosses the x-axis, and is the solution of the quadratic equation when y=0. Usually, there are either two or zero.
The coefficient of the leading term. In the quadratic equation y= ax^2 + bx + c,
the parabola points upward if a is positive, and downward if a is negative.
The vertex. You can find the vertex, or where the two sides of the parabola meet, by looking at the graph.
Which equation could be used to solve the given problem: if three times a number is increased by 24, the result is 4 less than seven times the number?
Answers
The equation of the given problem would be 3x + 24 = 7x - 4 and the solution is 7.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have given that "if three times a number is increased by 24, the result is 4 less than seven times the number"
Let the number be x then we have;
three times a number means 3x
seven times the number means 7x
Therefore, the equation will be;
3x + 24 = 7x - 4
Now solving for x unknown number;
3x + 24 = 7x - 4
24 + 4 = 7x -3x
28 = 4x
x = 7
Hence, the equation of the given problem would be 3x + 24 = 7x - 4, and the solution is 7.
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Somebody help me on this real quic plz
Answers
x y
0 = 0
1 = 2
2 = 4
3 = 6
5 = 10
I hope this helps love! :)
Ten times the square of a non zero number is equal to eighty times the number
What is the number?
Answers
The Number in the statement is 4/5.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Ten times the square of a non zero number is equal to eighty times the number.
let the number be x.
So, 10x² = 8x
10x² - 8x= 0
2(5)(x)(x) - 2 (2)(2)(x) = 0
2x( 5x - 4)= 0
Now, 2x= 0 or 5x-4=0
x= 0 or x= 4/5
Hence, the number is 4/5.
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Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm
Answers
x + y = 24 where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24.
x^2 + z^2 = 13^2
y^2 + z^2 = 20^2 where z = 0.5 * length of smaller diagonal)
form last 2 equations
y^2 - x^2 = 20^2 - 13^2 = 231
now y = 24-x so we have
(24 - x)^2 - x^2 = 231
576 - 48x = 231
48x = 345
x = 7.1875
z^2 = 13^2 - 7.1875^2 = 117.34
z = 1.83
so smaller diagonal = 21.66 cm
looks like its the third choice.
The length of the other diagonal, DF is 44 cm.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Since the kite has two pairs of congruent adjacent sides, we know that the diagonals of the kite are perpendicular bisectors of each other.
Therefore, we can use the Pythagorean theorem to find the length of the other diagonal DF.
Let x be the length of the other diagonal, DF.
We know that one diagonal EG has a length of 24 cm, so we can use the Pythagorean theorem to find the length of the perpendicular bisector of EG, which is half of DF.
By the Pythagorean theorem, we have:
[tex](20/2)^2 + (x/2)^2 = 24^2\\100 + (x/2)^2 = 576\\(x/2)^2 = 476\\x/2 = \sqrt(476)\\x = 2 \times 21.86\\x = 43.72\\x = 44[/tex]
Therefore,
The length of the other diagonal DF is 44 cm
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The perimeter of a rectangle is 525 inches and the ratio of the length to the with is 7:3 find the length of the with
Answers
Width: 15 centimeters
How would I solve
-1+2i / -1-3i
Answers
(-1+2i)(-1+3i) / (-1-3i)(-1+3i)
1-5i+6i² / 1-9i²
-5-5i / 10
-5/10 - 5i/10
-1/2 - 1i/2
What happens when you multiply 2 negative numbers?
Answers
Or
2) You'll get a positive Number..
But I'm guess you'll get a positive number
BRAINIEST AND YOU WILL GET 10 POINTS!
What is the value of p in the equation 4p + 3(p + 4) = 12p + 12?
12, 1, 0, -1.
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
3x = 9, 3x = 1 , 11x = 9, 11x = 1
What is the value of z in the equation 3z + 5 = 4z − 8?
13, 1, -13, -1
The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:
Step 1: 3(4x − 2) = 9 + 2x + 5
Step 2: 12x − 2 = 14 + 2x
Step 3: 12x − 2x = 14 + 2
Step 4: 10x = 16
Step 5: x = 1.6
In which step did the student first make an error and what is the correct step?
Step 2: 12x − 2 = 4 + 2x
Step 2: 12x − 6 = 14 + 2x
Step 3: 12x + 2x = 14 + 2
Step 3: 12x − 2x = 14 − 2
Answers
2 - The simplified form of the equation is 3x = 1, the reason behind this is when you do the equation, you get x = 1/3. When you do the equation 3x = 1 you get x = 1/3 as well.
3 - The value of z in the equation is z = 13.
4 - In order to figure out what step he did something wrong on, we first need to solve the problem, the answer we will get is x = 2.
To do this the easy way, we can solve each step, and see what one wouldn't equal 2, which the step he did wrong is Step 2.
So, to do Step 2 correctly, it would be: Step 2 - 12x − 6 = 14 + 2x.
During a certain day, a worker did 77 parts. He usually does 55 parts per day. What was the percent by which he increased the usual number of parts?
Answers
if we take 55 to be the 100%, what is 22 off of it in percentage anyway?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 55&100\\ 22&p \end{array}\implies \cfrac{55}{22}=\cfrac{100}{p}\implies p=\cfrac{22\cdot 100}{55}[/tex]