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 )
Increase £490 by 11% give your answer rounded to 2 DP
Step-by-step explanation:
Given \:number (m) = £ 490Givennumber(m)=£490
Increase (g) = 11\%Increase(g)=11%
\begin{gathered} \red{ Required \:number } \\= m\Big( \frac{(100+g)}{100} \Big)\\= 490\Big(\frac{100+11}{100}\Big)\\= 490 \times \frac{111}{100} \\= 490 \times 1.11 \\= £ 543.9 \end{gathered}
Requirednumber
=m(
100
(100+g)
)
=490(
100
100+11
)
=490×
100
111
=490×1.11
=£543.9
Therefore.,
\red{ Required \:number }\green { = £ 543.9}Requirednumber=£543.9
•••♪
Answer:
£543.90
Step-by-step explanation:
You have to add 2 and nothing
this is RAY MAK who knows him
can yall plzz help me i feel supid
please help mee!!! i will give u 5.0 starsss
Penny takes a taxi cab from the airport to her house. The distance is 4½ miles. The taxi costs $2.75 per mile. What is the cost of taking the taxi from the airport to her house? Round to the nearest cent.
Answer:
$12.38
Step-by-step explanation:
2.75 * 4.5 = 12.38
Answer:12.38
Step-by-step explanation:
Since the cost per mile is 2.75 even multiply that by the number of miles which would be 4.5 if you work that out it would get you 12.375 and you would round to 12.38 hope this helps.
At this pace, how many miles can she run in 88 minutes?
Answer:
What is her pace?
Step-by-step explanation:
Find her pace, then do 88/p to find how many miles she can run.
If her pace is 11 minute/mile, then she can run 8 miles.
8*11=88
Which point is on the graph of the equation y=2x-5?
(3,-1)
(2,-1)
(4,2)
(2,-5)
Answer:
(2,-1)
Step-by-step explanation:
If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!
PLS HELP IM TIMED!!
PQRS is a square and measure of _P is 90°. What is the measure of _S?
- A) 45°
- B) 90°
- C) 180°
- D) 360°
Answer:
B. 90⁰
Step-by-step explanation:
Square is Equal
All sides are equal.
since P is 90⁰ and S is opposite of P,
S = 90⁰
At the beginning of a population study, city had 210,000 people. Each year since, the population has grown by 5.5%. Let t be the number of years since the start of the study. Let y  be the cities population. Write an exponential function showing the relationship between y and t. 
Y=
Answer:
y = 210,000(1.055)^t
Step-by-step explanation:
Initial population: p = 210,000
Annual growth rate: 5.5% = 0.055
Number of years: t
Population in year t: y
y = p(1 + r)^t
y = 210,000(1 + 0.055)^t
y = 210,000(1.055)^t
If M, N, and O are midpoints of JKL, find LJ.
Answer:
the answer is 12
Step-by-step explanation:
edg 2021
The length of the side LJ of triangle ΔJKL can be obtained as 12 units. The correct option is (C).
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
As per the given question, O is the midpoint of LK.
Then, LO = OK.
The equation can be written as,
⇒ 2x = x + 8
⇒ x = 8
Then, NJ = 8 - 2 = 6
Since, N is also the midpoint of LJ.
LJ = 2 × NJ
⇒ LJ = 2 × 6 = 12.
Hence, the length of the side LJ can be found as 12 units.
To know more about triangle click on,
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Match each equation to a step that will help solve the equation.
Eqautions: Numbers:
1) Multiply each side by 5.
2) Multiply each side by -5.
3) Multiply each side by 1/5.
4) Multiply each side by -1/5.
A) 5x= 0.4
B) x/5=8
C) 3 = -x/5
D) 7 = -5x
27 to 32
What is the frequency between 27 to 32
Answer:
it has a frequency of 5
Step-by-step explanation:
Calculate the area of the shape below.
Answer:
24ft²
Step-by-step explanation:
divide up the shape:
big triangle:
(looking for base)
9.8²= 4² + b²
b = 8.95ft
(finding area)
0.5*8.95*4 = 17.9ft²
small triangle:
(looking for base)
12-8.95=3.05ft
(finding area)
0.5*3.05*4 = 6.1ft²
Whole Shape:
17.9+6.1 = 24ft²
Use a product of two binomials to find a polynomial that represents the area of Roberto's plot.
Answer:
First, we know that the area of a rectangle of width W and length L is:
A = W*L
In the case of Roberto's plan, we can see that the length of the whole rectangle is:
L = 1.5ft + x + 1.5ft = 3 ft + x
And the width is:
W = 3ft + x + 3ft = 6ft + x
Then the area of the whole thing is:
A = (3ft + x)*(6ft + x)
This is what we wanted, a product of two polynomials that represents the area of Roberto's plot.
Now if we subtract the white square (is a square of sidelength x, then its area is A = x*x) we will get the area of the border;
The total area of Roberto's borders is:
Area of the border = (3ft + x)*(6ft + x) - x*x
= 3ft*6ft + 3ft*x + x*6ft + x^2 - x^2
= x*9ft + 18ft^2
Edwin has $50.00 in his bank. He starts spending $2.50 each week on snacks at lunch graph it
Answer: 50.00 - 2.50 each week
Answer:
Step-by-step explanation:
First label the x axis as "Time (Weeks)" and y axis as "money in the bank account". The x axis should go by 1. As in the squares being, 1,2,3, etc. The y axis should go by 5's and end at 50. Plant a dot at coordinates (0,50) and continue by subtracting $2.5 per week. So the next coordinates should be (1, 47.5). In the end, there should be $25 left in the account (after using all of the boxes).
Answer correctly
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0+0
Mia averages 16 goals for every 80 shots on goal. Abby averages 13 goals for every 52 shots.. Who has the greater goal rate?
The lines shown below are perpendicular. If the green line has a slope of
2/5 , what is the slope of the red line?
Answer:
-5/2
Step-by-step explanation:
for perpendicularity;
[tex]m1 = \frac{ - 1}{m2} [/tex]
where m1 is first slope
and m2 is second slope
so here, let m1 be green line slope
and m2 be red line slope
thus,
[tex]m2 = \frac{ - 1}{m1} [/tex]
[tex]m2 = \frac{ - 1}{ \frac{2}{5} } = - 1 \div \frac{2}{5} [/tex]
[tex] = - 1 \times \frac{5}{2} = \frac{ - 5}{2} [/tex]
Can someone explain this to me
Answer:
54°
Step-by-step explanation:
The angles inside of a triangle will equal a sum of 180. So you use the equation X= 180-(80+46)
please brainliest
Geometry pls help me
Answer: 180
Step-by-step explanation:
When added together, Interior angles of a triangle are always equal to 180 degrees.
Answer:
∠FHG=120°
Step-by-step explanation:
first you calculate the angles of the triangle NGH
this is isoceles triangle, so there's 2 equal angles
and as shown, the 2 same angles are having 2 lines in each one, this 2 lines represents that the 2 angles are same
so both are 20°
any triangle has a sum of 180° of interior angles
so 180-(H+G)=the angle below N
180-(20+20)=140°
the angle below N is same as N because they're vertically opposite
140 is an exterior angle
and the exterior angle is equal to the 2 far angles
140=40+∠FHN
140-40=100°
so ∠FHN=100°
∠FHN+∠NHG=∠FHG
100+20=120°
so ∠FHG=120°
Anica volunteers to fold T-shirts she fold 8 T-shirts every 6 minutes how many t-shirts will anica make in 45 minutes
Answer:
I think 60
Step-by-step explanation:
I divided 45 by 6, and then multiplied that answer by 8. I hope this helps :) (Tell me if I am wrong)
The Answer Should Be 5 Minutes!
I Hope This Helps You!!!
1) someone help easy math question
Find the slope of the line passing through the points (-7,7)and (2,7)
Answer:
57
Step-by-step explanation:
23ewrfgdxdf
Answer:
0
Step-by-step explanation:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
[tex]\frac{7 - 7}{2 - -7} = \frac{0}{9} = 0[/tex]
Tyrese wants to buy baseball cards. They cost $5.00 per pack. There is a 25% discount before tax if 10 or more packs are purchased. Sales tax is 7%. If Tyrese buys 15 packs of cards, how much does he pay?
Answer:
72.225 $
Step-by-step explanation:
The price per pack: 5.00 $
When the amount of packs is > 10 :
90 % * 5 $ = 4.50 $ before tax.
The price of 15 packs:
4.50 $ * 15 = 45 + 22.5 = 67.5 $ before tax.
After tax:
107 % * 67.5 $ = 72.225 $ after tax.
You rent an apartment that costs $1400 per month during the first year, but the rent
is set to go up $180 per year. What would be the monthly rent during the 5th year of
living in the apartment?
The rent in the 5th year is $2120.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. We can find the amount regularly increasing by using arithmetic.
As per the given data:
Cost of the apartment per month during the first year is given, also the increase in rent every year is given.
We have to find out the monthly rent during the 5th year of living in the apartment.
For finding out the monthly rent during the 5th year of living in the apartment:
Rent in first year + Increase in rent in each year × (5 - 1)
= 1400 + 180 × 4
= 1400 + 720
= $2120
The rent in the 5th year is $2120.
Hence, The rent in the 5th year is $2120.
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PLS HELP ME I SUCK AT MATH
Which one of these is NOT equivalent to 2/3?
1. 11/23
2. 12/18
3. 14/21
4. 6/9
Jade is making a square Birthday card for her Mom. She is going to put a ribbon border around each of its 4 equal sides. Her ribbon is 33 inches long and she will use all of the ribbon. How many inches of ribbon will Jade put on each equal side?
Answer:
33 total inches ÷ 4 sides = 8.25 inches along each side
Please help I will mark brain!
Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements. The slope of AC is . The slope of EG is . The polygons are not dilations of each other because .
Answer: the slope of AC is 4
the slope of EG is 2
the polygons are not dilations of eachother because the corresponding sides are not parallel
Answer:
D, D, C
Step-by-step explanation:
anyone that's good at math please help <3
Answer:
i would try the first option,
Step-by-step explanation:
i'm not very good at math but i don't think the problem has exponents.
