Maths Aryabhatta

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Solve the following pair of linear equations using substitution method :-

2x+3y + 5 = 0 ; 5x-3y+9=0​

Answer:

Not sure but I think it might be A

Step-by-step explanation:

Took the test

Answer:

Step-by-step explanation:

5²+8²=25+64=89

12²=144

5²+8²≠12²

so it is not aright angled triangle.

Answer:

Not a right triangle

Step-by-step explanation:

A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.

That is square of the largest sides = sum of the sqaures of the sides .

That is ,

            [tex]12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89[/tex]

It did not satisfy the Pythagoras theorem.

Hence the given triangle is not a right triangle.

Answer:

To solve this problem, we need to use the following two facts:

1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.

2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.

Since we know that 1 - √2 is a root of the quadratic equation, we can let:

r = 1 + √2

and

s = 1 - √2

Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.

Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.

Answer: D

Step-by-step explanation:

Given:

The function is:

[tex]F(x)=x^3[/tex]

To find:

The function G(x) if the graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x).

Solution:

The transformation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that F(x) can be compressed vertically and shifted to the right to produce the graph of G(x). So, the value of k must be lies between 0 and 1, and a<0.

In option A, [tex]0<k<1[/tex] and [tex]a<0[/tex]. So, this option is correct.

In option B, [tex]0<k<1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.

In option C, [tex]k>1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.

In option D, [tex]k>1[/tex] and [tex]a<0[/tex]. So, this option is incorrect.

Therefore, the correct option is A.

Answer:

Total amount of ticket free = £64.89

Step-by-step explanation:

Given:

Cost of theater ticket = £63 plus

Booking fee of theater ticket = 3%

Find:

Total amount of ticket free

Comutation:

Total amount of ticket free = Cost of theater ticket + Booking fee of theater ticket

Total amount of ticket free = 63 + 3%

Total amount of ticket free = 63 + 1.89

Total amount of ticket free = 64.89

Total amount of ticket free = £64.89

Step-by-step explanation:

divide the divisor and dividend by 10

Answer:

Profit % = 11,11 %

Step-by-step explanation:

Answer:

14% profit on shirt/skirt?...

actually as written the question can not be answered....

the start of the problem has gloves, and SHIRT... at the end you want the

profit on a SKIRT

Step-by-step explanation:

gloves sold for 8

shirt sold for 40

.2(48) = 9.60 profit

9.60 - 4 = 5.60 profit of shirt

x(40) = 5.60

14% profit on shirt

Answer:

64 lb

Step-by-step explanation:

you can solve this problem by using a proportion, then cross multiply and divide. (better explained in yt videos).

Answer: [tex]589.33\ mph[/tex]

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]

Suppose the distance is x

[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]

Average speed is

[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]

Answer:

The speed of plane is 600 mph.

Step-by-step explanation:

Let the distance is d.

Speed of wind , u = 80 mph

Time, t = 17 hours

time, t'= 13 hours

Let the speed of airplane is v.

distance = speed x time

d = (v + u) x 13= (v - u) x 17

(v + 80) x 13 = (v - 80) x 17

13 v + 1040 = 17 v - 1360

4 v = 2400

v = 600 mph

Answer:

Fabric    Cloaks

   21            6

   7              2

   14            4

Step-by-step explanation:

To represent the situation, we can write a ratio using the information 21 sq meters per 6 wizard cloaks. we can write:

21 sq m/ 6 cloaks

and simplify both the numerator and denominator by dividing each by 3:

7 sq m/ 2 cloaks

We can already fill out the second row because, from the ratio above, we can say 2 cloaks use 7 sq m.

For the next row, we need the number of cloaks, or the denominator to be 4. So, we need to multiply both the top and the bottom by two to get:

14 sq m/ 4 cloaks

This means 4 cloaks need 14 sq m.

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it is not possible result is not given so it is not possible

Answer:

30 palindromes!!!!!!!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

zero cannot be the first digit of the palindromes. There are nine other numbers that can be.

9 * 10

The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.

That's not the question, but it does put a limit on how many there can be.

Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.

I think 111 is the smallest.

Now what about the largest? That would be 999.

So what is the next number after 111? Wouldn't that be 141?

The difference between 111 and 141 is 30

It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get

303

333

363

393

All the other numbers only have 3 entries for example, 1 gives you

111

141

171

So making a table we get

First digit                          Number of palindromes divisible by 3

1                                        3

2                                       3

3                                                   4

4                                       3

5                                       3

6                                                   4

7                                       3

8                                       3                                            

9                                                   4

                                       18         12

Total                                

Answer:

a) 12 'o' clock, b) 30 minutes c) you can do it your answer may differ

Step-by-step explanation:

a) look closely you will see it is 24 hours format, so it is proved she starts going to town at that that time

b) look you there is a downward movement of graph means it shows she is not travelling she is resting done let after 1500 or 3:00pm and before 1600 or 4:00pm point be 3:30 so till 3:30 to 4:00 rested in town

c) answer may differ

pls thank me and mark brainliest if you can

Answer:

2560 Pesos

Step-by-step explanation:

How to find the amount of money in the savings account:

2380 - 500 = 1880

1880 + 680 = 2560

The addition equation: 1880 + 680 = 2560

The sum of the money: 2560 Pesos

B)  p and the q are switched

C) Neither p or q is negated

========================================================

Explanation:

The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.

Here is the full list

Side notes:

Hello,

[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]

Answer A

Answer:

4

Step-by-step explanation:

[tex] \frac{p - 1}{p} = 4[/tex]

Solve for p.

The numerator. difference has to be 4 times the answer of the denomiator.

So we can say

[tex]p - 1 = 4p[/tex]

Solve for p

[tex] - 1 = 3p[/tex]

[tex]p = - \frac{1}{3} [/tex]

Now plug this in for the other formula.

[tex]( \frac{ - \frac{1}{3} +1}{ \frac{1}{3} } ) {}^{2} = 2 {}^{2} = 4[/tex]

So

Answer:

Solution given;

<ABD=<BAC+<ACB

Since exterior angle of a triangle is equal to the sum of two opposite interior angle

26x+20=19x-15+9x+25

solve like terms

26x+20=28x+10

subtracting both by 10

26x+20-10=28x+10-10

Subtracting both side by 26x

10=28x-26x

2x=10

dividing both side by 2

2x/2=10/2

x=5

Now

<ABD=26*5+20=l50°

The value of <ABD is 150°

Answer:

3.7 feet

Step-by-step explanation:

A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618

If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft

= 3.7 (to the nearest tenth)

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

(a + 1) (b + 2 ) = 2a + b + ab + 2

Step-by-step explanation:

[tex](a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2[/tex]

[tex](a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2[/tex]

Answer ↦ [tex]\boxed{\tt{ab + 2a + b + 2}}[/tex]

↦ Distributive Property.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

(3,-19)

Step-by-step explanation:

To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.

The y coordinate is lesser than -10 so the 4th one is wrong.

The answer is (3,-19)

Explanation:

The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.

Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.

Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.

The only thing left is choice C. It appears that the intersection point could be (3,-19).

Answer:

1st option.

0 to 100 miles per hour

Step-by-step explanation:

as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.

Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.

out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).

so the domain is

0 to 100 miles per hour.

Answer:

(A) 0 to 100 miles per hour

Step-by-step explanation:

The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.

The only answer that is related to the speed is the first answer choice.

Hope that helps (●'◡'●)

Answer: The answer is your bad, you shouldnt be "answering" questions with " sorry i need points"  

Answer:

67,200 (please note you did not specify the currency this is figured in so that is important to include in your answer. If this answer is in dollars, then make sure you add a dollars sign and specify "dollars" in your answer. If it is in another currency then put that in).

Step-by-step explanation:

First, we need to figure out how much the doctor makes per hour. Since there are 4, 15 minute billing periods per hour, we multiple to find the hourly billing charges:

4[tex]4*1200=4800[/tex] (this is the amount the doctor makes per hour)

Next, we have to take that hourly charge and multiply it by 2 because we know the doctor works two hours per day:

[tex]4800*2=9600[/tex] (this is the amount the doctor makes per day working two hours)

Finally, we know the doctor attends to the clinic two hours per day and seven days per week. We have to multiply the amount of money earned in two hours (9600) by 7 days:

[tex]9600*7=67,200[/tex] (this is the amount the doctor makes in seven days, billing two hours per day)

The answer is 1.1772

Answer:

1.1772 is the single decal multiplier which should be used.

Step-by-step explanation:

Let the initial value be X.

After 8% increase, the value is =((100+8) /100) ×X = 1.08X.

Again after 9% increase, the final value is =((100+9) /100) ×1.08X =(1.09) ×(1.08) X =1.1772X.

This single decimal multiplier which should be used is 1.1772

Step-by-step explanation:

the correct answer for the question is 85

We know that, in a triangle,

Exterior angle = Sum of interior opposite angles

So,

missing angle = 45° + 40°

=> missing angle = 85°