Answer:
(1, 2 ), (2, 1 )
Step-by-step explanation:
Given the 2 equations
x + y = 3 → (1)
x² + y² = 5 → (2)
Rearrange (1) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (2)
x² + (3 - x)² = 5 ← expand and simplify left side
x² + 9 - 6x + x² = 5
2x² - 6x + 9 = 5 ( subtract 5 from both sides )
2x² - 6x + 4 ( divide through by 2 )
x² - 3x + 2 = 0 ← in standard form
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
Substitute these values into (3) for corresponding values of y
x = 1 : y = 3 - 1 = 2 ⇒ (1, 2 )
x = 2 : y = 3 - 2 = 1 ⇒ (2, 1 )
HI SOMEONE PLEASE HELP I HAVE NO IDEA HOW TO DO THIS :(( i need to know the measure of angles 13 and 12 then the measure of the line segment SG. Thank you sm in advance
Answer:
Angle 13 equal 90 and Angle 12 equal 45
Step-by-step explanation:
This is a square so all of the corner angles and the diagonals angles measure 90 degrees. A square also forms 4 congruent isoceles triangles or technically 45-45-90 triangles. So that means the following angles measure 45 degrees since they share a point
Angle 5,6,7,8,9,10,11,12. So the measure of 12 is 90 degrees.
To find the measure of 13, in a square diagonals bisect each other and form perpendicular lines so that means every angle in the middle of the square measure 90 degrees.
Using that
Angle 13,15,16 and R measure 90 degrees so Angle 13 equal 90.
Find the slope and the y-intercept of the graph of the linear equation. 1. y=3x-7 2. y-1=-2/3x
Answer:
1) Slope: 3; y-intercept: -7
2) Slope: 2/3; y-intercept: 1
Step-by-step explanation:
y = mx + b; m is slope and b is y-intercept
1. y = 3x - 7
The equation is already in slope-intercept form, so you can find the slope and intercept.
Slope: 3
y-intercept: -7
2. y - 1 = 2/3x
For this one, you have to convert this into slope-intercept form (solving for y)
y - 1 = 2/3x
Add 1 to both sides
y - 1 + 1 = 2/3x + 1
y = 2/3x + 1
Now that the equation is in slope-intercept form, you can get the slope and y-intercept.
Slope: 2/3
y-intercept: 1
Which event below has the GREATEST probability of winning a prize?
A. choosing 1 number out of a on the spinner.
B. Flip a heads on a coin
C. Rolling a 2 on a FNC (Fair Number Cube) on the 1st roll.
D. Choosing the ball beneath the correct cup.
Answer:
Probably B.
Step-by-step explanation:
It's a 50% chance and the other ones seem less likely than that.
A. no clue what that means
B. 1/2 chance/ 50%
C. 1/6 chance which is not as great as B.
D. 1/3 chance which is closer to B but still not as good.
Spiral Review A chili cook-off has adult tickets a and child tickets C. A group of visitors buys 3 adult tickets and 2 child tickets and pays a total of $26.
Another group buys 5 adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket.
Enter the correct answers in the boxes.
Equation 1:?
Equation 2:?
adult: $ 6
child: $ 4
I just need help on making equations
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C
The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the adult tickets be a
Let the child tickets be c
Group A buys 3 adult tickets and 2 child tickets and pays a total of $26
So , 3a + 2c = 26 be equation (1)
And , Group B buys 5 adult tickets and 3 child tickets and pays $42
So , 5a + 3c = 42 be equation (2)
On simplifying , we get
Multiply equation (1) by 5 and equation (2) by 3 , we get
15a + 10c = 130 be equation (3)
15a + 9c = 126 be equation (4)
Subtracting equation (4) from equation (3) , we get
c = $ 4
Therefore , the cost of child ticket is $ 4
Substituting the value of c in equation (1) , we get
3a + 2 ( 4 ) = 26
3a + 8 = 26
Subtracting 8 on both sides , we get
3a = 18
Divide by 3 on both sides , we get
a = $ 6
Therefore , the cost of adult ticket is $ 6
Hence , the system of equations are solved
To learn more about equations click :
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Help me Out pleaseeeeeeeee
y=-7/17x + O
What’s the answer for this question
Answer:
Solve for O
by simplifying both sides of the equation, then isolating the variable.
O=y+7x/17
George recorded the temperature of a liquid during science class.
Recorded temperatures (°C):37, 37, 42, 42, 42
Which measure of center best summarizes the temperatures and what is the value of this chosen measure?
Move a word and a value to complete the sentences.
The best measure of center for this data is the
The value of this measure of center is
mean
median
37
39.5
40
Answer: median and 42!
Step-by-step explanation:
Use your plan to find the temperature at the top of Mt Everest.
The temperature at the top can be found by evaluating the
expression —3— 58 (1).
Answer:
- 61
Step-by-step explanation:
-3 - 58 = -61
times 1 is
is -61
Evaluate the expression for y = 2. Simplify your answer.
y − 12
y
=
Answer:
-10
Step-by-step explanation:
this is the answer have a great day
what multiplies to -15 and adds to -3
A concentrated cleaning solution must be mixed with water in a container that allows users to spray onto the surfaces they need to clean. Pam’s mom asked her to add 30 ounces of cleaning concentrate into the sprayer and then add water to fill the sprayer. Her father told her that the sprayer must contain 20% cleaning concentrate and 80% water.
How many ounces does the sprayer hold? ounces
How many ounces of water was added to the sprayer? ounces
Answer:
the sprayer holds 150 0z.
120 oz. of water was added to the sprayer
Step-by-step explanation:
lol another math problem i need help on
Answer:
32x - 8
Step-by-step explanation:
8 x 4 = 32
(-)2 x 4 = -8
32x - 8
hope this helps and that it's right :)
Which expression is equivalent to 6 x 2 + 13 x + 5? (2x + 5)(3x - 1) (2x - 5)(3x + 1) (2x + 1)(3x + 5) (2x - 1)(3x - 5)
Answer:
(2x + 1)(3x + 5)
Step-by-step explanation:
what is the length of the hypotenuse for a right triangle with legs of length 9 and 40?
Answer:
[tex]c = 41[/tex]
Step-by-step explanation:
[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {9}^{2} + {40}^{2} } [/tex]
[tex]c = \sqrt{81 + 1600} [/tex]
[tex]c = \sqrt{1681} [/tex]
[tex]c = 41[/tex]
Answer:
probably c=41
Step-by-step explanation:
PLS HELP ASAP (THE PICTURE IS BELLOW)
Answer:
10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.
Answer:
she started with 32 apples and ended with 28
there were 8 apples in each bag but after she ate one from each bag, there are only 7 apples in each bag
Step-by-step explanation:
Write the equation of the line that has a slope of four and passes through the point 6,5
Answer:
4x-y=19, y=4x-19
Step-by-step explanation:
I learned a really quick way to do these in geometry.
Let's use standard form or ax+by=c.
Slope of 4: 4x - y = c.
Passes through point 6,5.
4(6) - 5 = c
c= 24-5
c=19
4x-y=19
y=4x-19
Mr. Tyssee got a haircut, which cost $35. He gave the
stylist a 15% tip. How much will he pay for the haricut
including tip?
Answer:
$40.25
Step-by-step explanation:
15% = 0.15, so multiply 35 * 0.15 = 5.25 to get the tip.
Since the answer is asking for both the tip and the cost, add 35 + 5.25, which gives the answer $40.25
It costs $35 for a membership at a wholesale store. The monthly fee is $15 .Write an equation that represents the total costs ( in dollars) of a membership
Answer:
[tex]y= 35+15x[/tex]
Step-by-step explanation:
Given data
It costs $35 for a membership
Monthly fee is $15
Let the number of months be x
and the total cost for x months be y
Hence the expression for the cost after x months is given as:
[tex]y= 35+15x[/tex]
15. Simplify an expression for the area of the
rectangle shown below.
8x - 2.
4.
Answer:
Area of the rectangle A = 32 x - 8
Step-by-step explanation:
Explanation:-
Given that the length of the rectangle(l) = 8x-2
Given that the width of the rectangle (w) = 4
Area of the rectangle = length × width
A = (8x - 2) × 4
A = 32 x - 8
Final answer:-
Area of the rectangle A = 32 x - 8
need help! it’s due today. Brainliest to whoever gets correct
Answer:
B. about 41
A. 11
Step-by-B.step explanation:
Answer:
B. about 41
A. 11
Step-by-step explanation:
what is the value of -5 ?
Answer:
5
Step-by-step explanation:
You just change the signs
Answer: it will depended on the -5 i think if you write it in standard form
Step-by-step explanation:
At a construction job for a mansion there are 32 painters. Of these painters, 24 of them are painting the interior of the mansion. What percent of these painters are painting the interior?
Answer:
[tex]\% Percent = 75 \%[/tex]
Step-by-step explanation:
Given
[tex]Painters = 32[/tex]
[tex]Interior\ Painters = 24[/tex]
Required
Determine the percentage of the interior painters
This percentage is calculated as:
[tex]\% Percent = \frac{Interior\ Painters}{Painters} * 100\%[/tex]
This gives:
[tex]\% Percent = \frac{24}{32} * 100\%[/tex]
[tex]\% Percent = \frac{24* 100\%}{32}[/tex]
[tex]\% Percent = \frac{2400\%}{32}[/tex]
[tex]\% Percent = 75 \%[/tex]
75% are painting the interiors
Solve for t. (Answer must be completely simplified)
10t=11
Answer:
T can be equal to 1 1/10 or 1.1 or 11/10
Step-by-step explanation:
10t=11
So divide by 10 on both sides.
t=11/10 which can be simplified to t=1 1/10 or t=1.1
:)
what is 28 divided by 1.0000
Answer:
It's still gonna equal 28
-3x + 14 = 26
pls answer asap, i will give brainliest award also please answer with step-by-step explanation!
Answer:15
Step-by-step explanation:it just is the answer
This graph shows which inequality?
d > 5
d ≥ 5
d ≤ 5
d < 5
Answer:
d > 5
Step-by-step explanation:
The circle is open which means there is no line underneath the sign, the way the arrow is facing is the same way the sign should be facing.
1) Given two equations: 1) y = x - 3 and 2) y = -2x + 9. graph and state the point of
intersection below: *
Your answer
Answer:
1) y = - 3 and x = 3
2) x = 9/2 and y = 9
Step-by-step explanation:
Substitute x= 0 to find y and y=0 to find x
Help me I need the answer for x
Answer:
60=x
Step-by-step explanation:
Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f g)(x) and express
the result in standard form.