Answer:
Your solution is (6, -7)
Step-by-step explanation:
4x + 2y = 10
x - y = 13
We want to solve for one variable at a time.
Let's start with x.
x - y = 13
Add y to both sides.
x = 13 + y
Now we have an expression for x.
Plug this into each instance of x in the first equation.
4x + 2y = 10
4(13 + y) + 2y = 10
Distribute the 4 across the parentheses.
52 + 4y + 2y = 10
Combine like terms.
52 + 6y = 10
Subtract 52 form both sides.
6y = -42
Divide both sides by 6.
y = -7
Now that we know y, plug its value back into the expression for x.
x = 13 + y
x = 13 + (-7)
Simplify.
x = 13 - 7
Subtract.
x = 6
Your solution is (6, -7).
Hope this helps!
(pls help i’m suffering) 3.06a Finding Standard Form by Completing the Square
Classify each as Circle, Quadratic (parabola) or other
(x - 5)2 + (v - 2) = 16
= 100
22 - x = 25
(x - 2) - (y + 5)= 10
y = 2x + 5
Step-by-step explanation:
A circle equation is represented by
[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]
A circle have both terms to the 2nd. degree
The 1st equation, 2nd equation, 4th equation are circles.
A quadratic is represented by
[tex] {x}^{2} + bx + c[/tex]
A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.
The 3rd equation is a quadratic.
The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)
This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.
What is a quadratic function?f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
To learn more about quadratic function refer
https://brainly.com/question/28870194
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The triangle below is equilateral. Find the length of side x x in simplest radical form with a rational denominator
Answer:
x = √30
Step-by-step explanation:
We are given an equilateral triangle, so the angles will all be (180/3). = 60
Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x
Tan θ = opposite / Adjacent
Tan 60 = x / √10
Tan 60 = √3
Hence,
√3 = x / √10
x = √3 * √10
x = √30
At Marie's Book and Music Store, 7/20 of the sales come from
books, 6/20 of the sales come from music and 3/20 of the sales
come from video games.
What fraction represents the portion of sales from books, music,
and video games?
HELPP PLS ASAP I NEED HELP
Answer:
Option (b) second one is the correct answer
For each of the following quadrilaterals, select all the properties that must be true.
how many ounces is 13 lbs?
Answer:
208 oz
Step-by-step explanation:
So do 16x13=208
13 lbs=208 oz
brainliest pls?
Answer:
its 208 ounces
What is the area of the trapezoid below?
Answer:
Step-by-step explanation:
Answer:
The answer is 34.5cm2. (don't blame meh if wrong)
Step-by-step explanation:
Step 1: Find the area of the square; 4.6 x 3.2 = 14.72
Step 2: Find the bottom length to find the area of the triangle; 7.5 - 3.2 = 4.3
Step 3: Find the area of the triangle; 4.3 x 4.6 = 19.78
Step 4: Add the area of the square to the area of the triangle; 14.72 + 19.78 = 34.5
[tex]P=\frac{11}{40}+\frac{1}{4}-\frac{1}{20}[/tex]
Answer
p = 19/40
Please give brainliest
Need help immediately
A sum of money is to be divided among A, B and C in the ratio 2:3:5. The smallest share amounts to $210.
Calculate:
i. The total sum of money to be shared
ii. C’s share
iii. B’s share
Answer:
Step-by-step explanation:
If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,
2x = 210 and x = 105.
The total sum = 210 + 3(105) + 5(105) so
Total sum = 210 + 315 + 525
Total sum = 1050 and
C's share is 525 and
B's share is 315
Question
2x + 3y = 11
x – 3y =1
What is the solution (x, y) to the given system of equations?
O (4,0)
O (4,1)
O (12,8)
O (12, 10)
Answer: (4, 1)
Step-by-step explanation:
Let's solve this by adding the equations
2x+3y=11
+x-3y=1
3x=12
Now we can solve
[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]
Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.
[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]
The answer is (4, 1)
two rectangles have a scale factor of 4:1. If the area of the larger rectangle is 156cm^2, what is the area of the smaller rectangle?
A. 26.75 cm^2
B. 31 cm^2
C. 9.75 cm^2
D. 39 cm^2
Answer:
c=9.75cm^2
Step-by-step explanation:
156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156
Please could someone help me?
Answer:
C
Step-by-step explanation: 6 23 17 16
15 is the highest value
Answer:
7:00 pm
Step-by-step explanation:
Mode - Result that appears the most
15 people said they preferred the time 7pm. 15 is the largest number out of the given data
So the mode is 7pm
Find the equation of the line that is parallel to the line
y = 3x + 3 and passes through the point (10,1). Write the
equation in slope-intercept form.
9514 1404 393
Answer:
y = 3x -29
Step-by-step explanation:
The parallel line will have the same slope: 3. The y-intercept can be found from ...
b = y -mx
b = 1 -(3)(10) = 1 -30 = -29
Then the slope-intercept equation is ...
y = 3x -29
Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answer:
a) The equation for the situation = 14.50 = 4.5 + 1.25n
b) The number of oranges she bought = 8 oranges
Step-by-step explanation:
Where n represents the number of oranges.
The equation is written as
Total charge = $0.75 × 6 + $1.25 × n
$14.50 = $0.75 × 6 + $1.25 × n
14.50 = 4.5 + 1.25n
1.25n = 14.5 - 4.5
1.25n = 10
n = 10 / 1.25
n = 8 oranges
the 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio
Answer:
-0.329
Step-by-step explanation:
The formula for Geometric ratio is
an = ar^n - 1
Where
a = First term = 18
r = Common ratio = ?
n = Number of term= 6
Hence
a6 = 18 × r^6-1
From the question
a6 = -2/29
Hence:
-2/29 = 18 × r^6-1
-2/29 = 18 × r⁵
Divide both sides by 18
-2/29 ÷ 18 = 18 × r⁵/18
-2/29 × 1/18 = r⁵
r⁵ = -1/261
Take the fifth root of both sides
⁵√(r⁵) = ⁵√(-1/261)
r = -0.3286032834
Approximately = -0.329
Therefore, Common ratio = -0.329
How can you find the area of a circle if you only know the circumference?
A tube of toothpaste holds 75 ml.
How many tubes can be filled using 3 litres of toothpaste?
Pls help
Answer:
40 tubes
Step-by-step explanation:
1 liter = 1,000 milliliters
2 liters = 2,000 milliliters
3 liters = 3,000 milliliters
A tube of toothpaste = 75 ml
How many tubes can be filled using 3 litres of toothpaste?
Let
x = number of tubes
x tubes of toothpaste = 3000 ml
x = 3000 ml / 75 ml
x = 40
x = number of tubes = 40 tubes
WILL GIVE BRAINLIEST
Determine whether each scenario below is an example of a BIASED or UNBIASED sample
Answer:
1. Unbiased
2. Biased
Step-by-step explanation:
Find the side length of x (trigonometry)
Answer:
x=12.124
Step-by-step explanation:
here 7 and x are the legs of the triangle where as 14 is hypotenuse because it is opposite opposite to 90 degree.
using pythagoras theorem
a^2 + b^2 = c^2
here and b are legs and c is hypotenuse
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 =196-49
x^2 =147
x=[tex]\sqrt{147}[/tex]
x=12.1243
x=12.124 (after converting to the nearest hundredth)
What is 938 written in standard form?
Answer:
[tex]9.38 \times 10^{2}[/tex]
Step-by-step explanation:
All numbers in scientific notation or standard form are written
[tex]m \times 10^n[/tex],
where m is a number between 1 and 10.
Answer:
[tex]9.38 \times {10}^{2} [/tex]
Step-by-step explanation:
All numbers in standard form are written
[tex]m \times {10}^{n} [/tex]
Hope it is helpful....Pls help I don’t know how to do this
The right answer is a i think i don't known step by step
Step-by-step explanation:
a
a
I need some help with this please! An explanation would be lovely too!
Answer:
20
Step-by-step explanation:
if m<ABC is = 40 and BD is besector then m<ABD = 20
what is a way to describe the shape of this graph
6;10;14
find the next two terms of the sequence
Answer:
18
Step-by-step explanation:
Add 4
Answer: 18;22
Step-by-step explanation:
Let's start by finding the common difference.
10-6=4
14-10=4
The common difference is 4 meaning to get to the next numbers we must add 4.
6+4=10
10+4=14
14+4=18
18+4=22
please help I will give brainlist
Answer:
Your answer will be B
Step-by-step explanation:
Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8
You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...
I hope this helped if not tell me please....❤
Answer: Option B (y=8x+14)
Step-by-step explanation:
To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,
y = 8x
If we insert x = 0 we get,
y = 8(0)
y=0
but in the table it says we get 14 so option A is incorrect
Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,
y=8x+14
y=8(0)+14
y=14
y=8x+14
y=8(1)+14
y=8+14
y=22
y=8x+14
y=8(2)+14
y=16+14
y=30
and so on. Now your answer would be Option B.
THE CREDIT GOES TO (IjlalHashmi)
What do x and y equal?
suma de letras y numeros
A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° with the ground. Find the length of the wire.
Solve for B
A= 3( B + C )
Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3
need an answer asap will give the first answer brainliest
Answer:
The answer would be the first one.
m = -3n
Step-by-step explanation:
Answer:
m = -3n
Step-by-step explanation:
-6 = (-3)2 True
-12 = (-3)4 True
-18 = (-3)6 True