Please help someone……………………

Answer:

(4 , 3 ) and (-3 , -4)

Step-by-step explanation:

Other two vertices will be in 1st quadrant and 3 rd quadrant

Answer: (4 , 3 ) and (-3 , -4)

Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant

Answer:

-8 and 4

Step-by-step explanation:

4x = 32 -x^2

Subtract 4x from both sides and rearrange the equation:

-x^2 -4x +32 = 0

Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a

From the rewritten equation: a=-1, b = -4 and c = 32

Solving for x you get x = -8 and x = 4

The solutions are -8 and 4

Answer:

120

Step-by-step explanation:

To solve this, we can first find the value of the number.

Let's name the number x.

We can set up a proportion to solve.

90/60=x/100

Simplify.

9/6=x/100

Cross multiply.

6x=900

Divide both sides by 6.

x=150

The original number is 150.

Let's find 4/5 of that.

4/5*150

Multiply.

600/5

Divide.

120

________________________________

Hey!!!

Solution,

Let the number be X

60% of X=90

or,60/100*X=90

or,3/5*X=90

or,X=90/3/5

or,X=90*5/3

or,X=450/3

X=150

Again,

4/5 of X

=4/5*150

=120

The answer is 120

hope it helps

Good luck on your assignment

_____________________________

Answer= 13 years

Solution,

Let the age of grandmother be y

Let the age of grandson be X

according to question,

9x=y ( equation I)

X+56=y( equation ii)

Substituting,

9x=x+56

or,9x-x=56

or,8x=56

or,X=56/8

X=7

Again,

Age of grandson after 6 years

=7 years+6 years

=13 years

Hope it helps

Good luck on your assignment

The age of her grandson after 6 years is 13 years.

A mathematical statement in which two expressions are set equal to each other is known as an algebraic equation. A variable, coefficients, and constants are commonly included in an algebraic equation.

Let the age of the grandmother be x and the age of her grandson be y.

Since the grandmother is 9 times older than her grandson, we can write

x = 9y ...(1)

Since the grandmother is 56 years older than her grandson, we can also write

x = y + 56 ...(2)

We have to solve these two algebraic equations.

Equating the L.H.S. of (1) and (2),

9y = y + 56

i.e. 9y - y = 56

i.e. 8y = 56

i.e. y = 56/8 = 7

So, now the age of her grandson is 7 years.

Therefore the age of her grandson after 6 years is 6+7= 13 years.

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Answer:

0.2666666667

Step-by-step explanation:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

This is the distance formula. To find the distance, solve as shown:

[tex]d=\sqrt{(6-9)^{2}+(3-(-2))^{2} } \\d=\sqrt{(6-9)^{2}+(3+2)^{2} } \\d=\sqrt{(-3)^{2}+(5)^{2} } \\d=\sqrt{9 +25 } \\d=\sqrt{34 }[/tex]

Answer:

[tex]f(x)=-3x^2[/tex]

Step-by-step explanation:

A quadratic function is a function in which its degree (Highest power of the variable) is 2.

[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.

Let's see if we can recreate the histogram from the description.

Time count

0.5  0

1       0

1.5    2

2      1

2.5   3

3       1

3.5    2

4       1

4.5    0

5       0

The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.  

For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5.  When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.

Answer: B  the mean will decrease

Answer:

B

Step-by-step explanation:

This is because the mean will decrease

Answer:

it would be C i took the test

Step-by-step explanation:

Answer:

The answer would be C because i just took the test and got it right hope this helps.

Step-by-step explanation:

Answer:

The roots are real and unequal (3, -3)

Step-by-step explanation:

x²-9=0

ax²+bx+c=0

Comparing we get,

a= 1

b= 0

c = -9

Determinant: b²-4ac

= 0² - 4(1)(-9)

= 36>0

D > 0

Therefore, the equation has real and unequal roots.

Algebraic identity:

x² - a² = (x-a)(x+a)

Using this identity

x²-9 = (x+3)(x-3)

Roots are 3 and -3 which are real and not equal to each other

Hope this answer helps you ..

Answer:

2 real solutions

Answer:

Option D

Step-by-step explanation:

because the data wasn't place on a table...

Step-by-step explanation:

Isosceles means that two sides are equal.

if the base is 1½s the other two sides will be ½s and½s

thus perimeter=1½+½+½ =2½s

smaller triangle:

perimeter=½(1½s+½s+½s)

=½(2½s)

=1¼s convert to decimal

=1.75s

The simplified expression of the given situation is 1.75s.

The correct option is C.

A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.

Given:

The base of an isosceles triangle is one and a half times the length of the other two sides.

Let s represents the side of the triangle.

The base = ([tex]1\frac{1}{2}[/tex])s = 3s/2

So, the other two sides are s and s.

So, the perimeter,

= 3s/2 + s/+ s

= 7s/2

A smaller triangle has a perimeter that is half the perimeter of the first.

That means,

the perimeter of the smaller triangle,

= 1/2(7s/2)

= 7s/4

= (1.75)s

Therefore, (1.75)s is the required expression.

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Answer:

1) a²-9a+20

2)a²-12a+20

3)a²+a-20

4)a²-8a-20

Step-by-step explanation:

use (foil)

front

outside

inside

last

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600,   600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e.      [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]

           x = [tex]\frac{75 * 8}{10}[/tex]

           x = 60

∴ The distance is 60 km.

Hope this helps!!!

Answer:

5(4x + 5)

Step-by-step explanation:

Given

20x + 25 ← factor out the common factor 5 from each term

= 5(4x + 5)

Answer:

5(4x+5)

Step-by-step explanation:

divide both with the same number into smallest digit

eg: 5(4x+5)=20x+25

if 5x4=20 and 5x5=25

both can be divided by 5 to get smallest number(factorise it)

Answer: 384 miles

Step-by-step explanation:

From the question, Mrs. Schroeder, a school principal, drove her own car for a class trip, by taking a different route and we are told that the principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip.

Since it used 1 gallon of gas for 32 miles, 12 gallons will be for:

= 32miles × 12

= 384 miles

The principal drove for 384 miles.

Answer: 3 3√3

Step-by-step explanation:

81^1/3

=3√81

= 3 3√3

Answer:

three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520. find each of the other angles if they are equal to each other. For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees. 16-3=13

Answer:

s=5

Step-by-step explanation:

72=27+9s

Subtract 27 from both sides.

72-27=9s+27-27

45=9s

Divide 9 from both sides.

5=s

Answer:

1960

Step-by-step explanation:

8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.

Answer:2032

Step-by-step explanation:

8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023

The complete question is:

A certain element has a half life of 4.5 billion years.

You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?

Answer:

Age of rock = 7.82 billion years

Step-by-step explanation:

For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.

We are given that;

fraction remaining = 30% = 0.3

Thus;

0.3 = 0.5n

To find n, we have to use the log function;

log 0.3 = n log 0.5

-0.5229 = -0.301 n

n = -0.5229/-0.301

n = 1.737

We are given that;

Half life = 4.5 billion years

So, 1.737 half lives would give;

1.737 × 4.5 = 7.82 billion years

So, age of rock = 7.82 billion years

Answer: x=-0.792

Step-by-step explanation:

For this problem, you want to get like terms onto one side, then solve for x.

[tex]\frac{1}{25}=5x+4[/tex]

[tex]-\frac{99}{25} =5x[/tex]

x=-0.792

Answer:

x = 5, y = 9.

Step-by-step explanation:

8^x / 2^y = 64

3^4x * (1/9)^(y -1) = 81

From the first equation

2^3x / 2^y = 2^6

2^(3x-y) = 2^6

So 3x - y = 6  ..........(1)

From the second equation:

3^4x * 9^(-(y-1)) =  3^4

3^4x * 3^2(-(y-1)) = 3^4

3^(4x+ 2(1 - y)) = 3^4

So 4x + 2(1 - y) = 4

4x - 2y = 2

2x - y = 1   .............(2)

Subtract: (1) - (2):

x = 5.

and  2(5) - y = 1

so y = 9.

Solving the simultaneous equations we get x is 5  and y is 9 .

Simultaneous equations in algebra are those that concurrently involve two or more variables, such as x and y. Even though they are solved simultaneously, the equations are known as simultaneous equations. Just these equations alone have innumerable answers.

A system of equations, often known as an equation system, is a collection of finite equations for which common solutions are sought.

The two given equations can be simplified as:

[tex]8^x \div 2^y = 64\\\\or,\frac{2^{3x}}{2^y} =2^6\\\\or, 2^{3x-y}=2^6\\\\or, 3x-y = 6[/tex]

And :

[tex]3^{4x} \times (\frac{1}{9})^{y-1}=81\\\\or, 3^{4x} \times 3^{-2(y-1)}=3^4\\\\or, 3^{4x+2-2y}=3^4\\\\or, 4x-2y = 2\\\\or,2x-y=1[/tex]

Now we can solve the two simultaneous equations :

3x - y = 6 and 2x - y = 1

Subtracting the equations we get:

x = 5

and

y = 9

Solving the simultaneous equations we get the value of x as 5 and the value of y as 9 .

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Answer:

f(n) = 4(n-1) + 7

First term

f(1) = 4(1-1) +7 = 0 + 7 = 7

Second term

f(2) = 4(2-1) + 7

= 4(1) + 7 = 4 + 7 =11

Third term

f(3) = 4(3-1) + 7

= 4(2) + 7

= 8 + 7 = 15

Therefore the first three terms of the sequence are 7, 11 and 15.

Hope this helps

Answer: ZR and ZS form a right angle

Step-by-step explanation:

Complementary angles are angles whose sum = 90ᴼ

If R and S are complementary, then their angle measures add to equal 90ᴼ

A right angle = 90ᴼ

ZR and ZS form a right angle.

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.

According to the given question.

Angles R and S are complementary angles.

Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.

Therefore,

The ZR and ZS form a right angle.

Hence, option second is correct.

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Answer:

C

Step-by-step explanation:

5×2=10

10-15x-20

-10-15x

5(-2-3x), or -5(x+4)(x-1) solve it and find your answer

Answer:

C

Step-by-step explanation:

The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!

Answer:

x= 1

Step-by-step explanation:

5x - 12 = x - 8

Subtract x from each side

5x -12 -x = x-8-x

4x -12 = -8

Add 12 to each side

4x-12+12 = -8+12

4x = 4

Divide each side by 4

4x/4 = 4/4

x = 1

Answer:

Here is what I think:

Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.