The vertices of triangle ABC are A(5,2), B(-1,-6), and C(1,5). If triangle DEF is similar to triangle ABC and AB/DE = 5, which could be the coordinates of D and E

Answer:

x ∈ R, x ≠ 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{x-9}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

To find the value that x cannot be, equate the denominator to zero and solve for x

x - 9 = 0 ⇒ x = 9 ← excluded value

Thus the domain is x ∈ R, x ≠ 9

Answer:

Step-by-step explanation:

8j^3-10j^2-7-6j^3+10j^2+j-12

2j^3+j-12

Answer:

hey! it's A and X on edge :)

Answer:

a = 7

b = 7

c = 14             [Correct option is B. 14]

Step-by-step explanation:

Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:

(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.

From the diagram, this means that sides PQ and SR are identical. i.e

=> PQ = SR

=> 6a + 10 = 8a - 4          [collect like terms and solve]

=> 14 = 2a

=> a = 7

(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e

<PQR = <PSR = (9b + 2)°

Also,

<SPQ = <SRQ = (18b - 11)°

(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.

<SPQ + <PQR = 180°

<PQR + <QRS = 180°

<QRS + <RSP = 180°

.

.

.

Also,

<PSR + <SPQ = 180°      

(9b + 2)° + (18b - 11)° = 180°        [expand bracket and solve for b]

9b  + 2 + 18b - 11 = 180

27b - 9 = 180

27b = 189

b = 7

Now, since a = 7 and b = 7;

c = a + b = 7 + 7 = 14

Therefore;

a = 7

b = 7

c = 14

Answer:

[tex] x = 6.6 [/tex]

Step-by-step explanation:

Given ∆WXY,

<X = 15°

<Y = 23°

y = 10

x = ?

To find side x, use the Law of sines as shown below:

[tex] \frac{x}{sin X} = \frac{y}{sin Y} [/tex]

Plug in the values of y, Y, and X

[tex] \frac{x}{sin 15} = \frac{10}{sin 23} [/tex]

[tex] \frac{x}{0.2588} = \frac{10}{0.3907} [/tex]

Cross multiply

[tex] x*0.3907 = 10*0.2588 [/tex]

Divide both sides by 0.3907 to solve for x

[tex] \frac{x*0.3907}{0.3907} = \frac{10*0.2588}{0.3907} [/tex]

[tex] x = \frac{2.588}{0.3907} [/tex]

[tex] x = 6.624 [/tex]

[tex] x = 6.6 [/tex] (to nearest tenth)

Answer:

answer is a

Step-by-step explanation:

zeros are x intercepts

Answer:

A

Step-by-step explanation:

(2x+1)(x+2)

so

2x=-1

x=-1/2

x=-2

A

Answer:

x = -2 and y = 3

Step-by-step explanation:

In linear combination method we try one of the variables from bopth of equations by

first making the variable equal in vlaue

then either subtracting or adding the two equation as required to eliminate the variable.

_____________________________________________

7x-2y=-20   equation 1

and 9x+4y=-6   equation 2

we see that y has

has value -2 and +4

4 = 2*2

thus, if we multiply equation1 with 2 we will give value for variable y as 4y and hence y can be eliminated easily.

7x-2y=-20  

multiplying the LHS and RHS with 2

2(7x-2y)=-20 *2

=> 14x - 4y = -40   eqaution 3

now that we have got 4y

lets add equation 2 and equation 3

  9x +4y=   -6

+14x - 4y = -40

________________________________

=> 23x + 0 =  -46

x = -46/23 = -2

Thus, x = -2

substituitinng x = -2 in 7x-2y=-20

7*-2 -2y=-20

=> -14 -2y = -20

=> -2y = -20+14 = -6

=> y = -6/-2 = 3

Thus, y = 3

solution is x = -2 and y = 3

Answer:

1.  20 tins of milk

2.  Weight of the Carton = 8,4kg ot 8400g

Step-by-step explanation:

Given

Volume of a Tin = 77cm³

Weight of a tin = 5000g

Volume of Empty Carton = 1540cm³

Weight of Empty Carton = 5000g

Calculating the number of tins of milk

To do this, we have to make use of the given volumes;

And this is done as follows;

[tex]Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}[/tex]

Substitute  77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton

[tex]Number = \frac{1540cm^3}{77cm^3}[/tex]

[tex]Number = 20[/tex]

Hence, 20 tins of milk will filled the empty carton

Calculating the weight of the Carton after filled with tins of milk

This is calculated as thus;

Total Weight = Weight of Empty Carton + Weight of Tins of Milk

Substitute 5000g for Weight of Empty Carton

Total Weight = 5000g + Weight of Tins of Milk

_________________________________________

Calculating Weight of Tins of Milk

Since 20 tins of milk will fill the empty carton, the

Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk

Weight of Tins of Milk = 20 * 170g

Weight of Tins of Milk = 3400g

_________________________________________

Substitute 3400g for Weight of Tins of Milk

[tex]Total\ Weight = 5000g + 3400g[/tex]

[tex]Total\ Weight = 8400g[/tex]

In Kilograms:

[tex]Total\ Weight = 8.4kg[/tex]

Answer:

Below

Step-by-step explanation:

The canister has a cylindric form

The volume of a cylinder is given by the following formula :

V= r^2 * Pi *h

H is the heigth and r os the radius(half of the diameter)

Let Pi = 3.14

●●●●●●●●●●●●●●●●●●●●●●●●

V= 3.14*4.5^2 * 12

V= 763.02

V = 763 cm^3(after rounding to the nearest unit)

●●●●●●●●●●●●●●●●●●●●●●●●

The surface area of a cylinder is given by the followong formula:

Sa = 3.14*r^2*2 + Pi*d*h

r is the radius, d the diameter and h the heigth

Let Pi= 3.14

Sa= 3.14*4.5^2*2 + 3.14*9*12

Sa= 466.29 cm^2

Sa= 466 cm^2 ( after rounding to the nearest unit

●●●●●●●●●●●●●●●●●●●●●●●●

The dimensions of the second canister are the double of the first one

V= r^2*Pi*h

V= 9^2 *3.14*24

V= 6104.16 cm^3

V= 6104 cm^3 (after rounding to the neatest unit)

Sa= 2*3.14*r^2+ 3.14*d*h

Sa= 2*3.14*9^2 + 3.14*24*18

Sa= 1865.16 cm^2

Sa= 1865 cm^2 (after roundong to the nearest unit)

●●●●●●●●●●●●●●●●●●●●●●●●

The volume and the surface area of the second canister are bigger than the first one

Divide the second volume by the first one :

V2/V1= 6104/763 = 8

We deduce that the voulme of the second canister is greater 8 times than the first one

Do the same for the surface area

Sa2/Sa1 = 1865/466 = 4.002 = 4 (after rounding to the nearest unit)

The second surface area is greater 4 times than the first one

Answer:

Yeah, what they said above.

Step-by-step explanation:

Answer:

   15.59 in^2

Step-by-step explanation:

The area of an equilateral triangle with side length "s" is given by ...

  A = (√3)/4·s^2

Filling in your numbers, we have ...

  A = (√3)/4·(6 in)^2 = 9√3 in^2

  A ≈ 15.59 in^2

The area is about 15.59 square inches.

Answer:

B, E

Step-by-step explanation:

J, K, Q are all on the same line: collinear

You can draw only one line through L and P

Answer:

b,e

Step-by-step explanation:

e2020

Logan Chivery owns her own car. Her June monthly interest was $300. The rate is 8.5 percent. Logan's principal balance at the beginning of June is: (Use 360 days-do not round the denominator.)

A. $42,353.14

B. $42,335.14

C. $2,335.14

Answer: A. $42,353.14

Step-by-step explanation:

When taking a loan, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Logan Chivery has the monthly interest of $300  at a rate of 8.5% per year, first, we have to convert the year rate to the month of June rate.

30 days = 8.5÷360÷30 = 0.7083333333 interest rate

Then, find the Principal by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r)

4,2352.94×0.7083333333÷100=299.99

Answer:

21x³y^4

Step-by-step explanation:

7xy(3x^2y^3)=

21x³y^4

Answer:

21x^3y^4

Step-by-step explanation:

Multiply each term:

21x^3y^4

Plz mark me brainliest!!

Answer:

work is shown and pictured

The solution to the system of linear equation is (x, y) = (6, 2)

3x - 2y = 14 (1)

3x - 2y = 14 (1)5x + y = 32 (2)

From (2)

y = 32 - 5x

Substitute y = 32 - 5x into (1)

3x - 2y = 14 (1)

3x - 2(32 - 5x) = 14

3x - 64 + 10x = 14

13x = 14 + 64

13x = 78

x = 78/13

x = 6

Substitute x = 6 into (2)

5x + y = 32 (2)

5(6) + y = 32

30 + y = 32

y = 32 - 30

y = 2

(x, y) = (6, 2)

Read more:

https://brainly.com/question/2159099

Answer:

a cone with a base radius of 17 units

Step-by-step explanation:

The computation of three-dimensional shape is shown below:-

Data provided

Perimeter of Triangle = 58 units

One non equal side = 24 units

We will assume two equal side = x units

x + x + 24 = 58

2 x = 58 - 24

2 x = 34

[tex]x = \frac{34}{2}[/tex]

x = 17

As we can see that the triangle is rotated about line k

This will give in a cone as it is a dimensional shape of three

So, the shape which is new will be of cone having radius 17 units

slant height 24

height k units

Answer:

A

Step-by-step explanation:

Answer:

60 2/5 x 5 = 60 x 5 + 2/5 x 5

60 x 5 = 300

2/5 x 5 = 2

300 + 2 = 302 so 302 is the answer

302 km for 5 hours

Step-by-step explanation:

Step-by-step explanation:

Km in 1 hour = 60 2/5 = 60.4km

Km in 5 hours = 60.4 x 5 = 302km

Answer:

9pq, 8qp, and 7x, 16y

Step-by-step explanation:

these pairs have the same variable and exponent. To be a like term, you have to have same variables and same exponents, so therefore 11a and 13a^2 can't be like terms.

Answer:

  False

Step-by-step explanation:

In a proportion, the two fractions are equal. Here the denominators are different for the same numerator, so the fractions are not equal. The given expression is not a proportion.

Step-by-step explanation:

Hi,

Let's describe it in listing method;

S= {8,16,24}.

Hope you got it...

Answer:

6 miles

Step-by-step explanation:

We are told that mark ran 9.654 kilometers.

We want to find out the distance in miles.

Now, to convert from kilometres to mile, we know that;

1.609 kilometers = 1 mile

Thus;

9.654 kilometers = (9.654 × 1)/1.609 miles = 6 miles

So, the number of miles he will post online is 6 miles

Answer:y = 2/3

Step-by-step explanation:

2x + y = 10

x - y = 4

-----------------add

3x = 14

x = 14/3

x - y = 4

14/3 - y = 4

-y = 4 - 14/3

-y = 12/3 - 14/3

-y = -2/3

y = 2/3 <==

Answer:

2x + y = 10

x - y = 4

-----------------add

3x = 14

x = 14/3

x - y = 4

14/3 - y = 4

-y = 4 - 14/3

-y = 12/3 - 14/3

-y = -2/3

y = 2/3 <==

Step-by-step explanation:

Answer:

g = (h+a) - l

None of them

Step-by-step explanation:

Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them

Let

h = liters of oil in the morning

l= liters that has leaked

a= liters that were added during the day

g= amount of liters at the end of the evening

Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked

Substituting each variable into the formula, we have

g = (h+a) - l

Answer: C

Step-by-step explanation:

A monomial is a expression where in it is x to the power of something, and x cannot be a denominator

Answer:

144 units²

Step-by-step explanation:

Surface area of a traingular prism is given as:

Area = 2(B.A) + P*L

Where,

B.A = base area of the triangular prism = ½*b*h

b = base of the triangular base = 4 units

h = height of the triangular base = 3 units

Base Area (B.A) = ½*4*3 = 2*3 = 6 units²

P = Perimeter of triangular face = sum of all sides the triangle = 3 + 4 + 5 = 12 units

L = length or height of prism = 11 units

Plug in all values into the formula for surface area of triangular prism = 2(B.A) + P*L

[tex] Area = 2(6) + 12*11 [/tex]

[tex] = 12 + 132 [/tex]

[tex] Surface Area = 144 [/tex]

Surface area of the triangular prism = 144 units²

Answer:

32 inches by 64 inches

Step-by-step explanation:

Since the generic television is [tex]\frac{3}{8}[/tex] the size of the brand name.

Then the brand name is [tex]\frac{8}{3}[/tex] the size of the generic, thus

[tex]\frac{8}{3}[/tex] × 12 = 32

[tex]\frac{8}{3}[/tex] × 24 = 64

Thus dimensions are 32 inches by 64 inches

Answer:

The dimensions are 32 inches by 64 inches

Answer:24

Step-by-step explanation:

24*5=120.

So the difference between 120-24=96.

The required number, one number is 5 times another and their difference is 96 is 24 and 120.

One number is 5 times another. If their difference is 96, To find the numbers.

In mathematics, it deals with numbers of operations according to the statements.

Let the number be x and y
According to the first condition,
One number is 5 times another.So,
y = 5x

Following the second condition,
their difference is 96. So,
y - x = 96 - - - - - (1)
Now put y = 5x in the above equation
5x - x = 96
4x = 96
x = 96/4
x = 24
Now put x = 24 in y = 5x
y = 5*24
y = 120

Thus the required number, one number is 5 times another and their difference is 96 is 24 and 120.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ5

Answer:

x = 1

y = 2

Step-by-step explanation:

3y +   x = 7       first equation

-2y + 4x  = 0      second equation

multiplying by -4 the first equatión

-4(3y + x = 7)

-4*3y -4*x = -4*7

-12y -4x = - 28

and sum the second equation:

-12y -  4x = -28

- 2y - 4x  =  0

-14y   -  0  =  -28

-14y = -28

y = -28/-14

y = 2

from the first equation:

3y + x = 7

3*2 + x = 7

6 + x = 7

x = 7 - 6

x = 1

Check:

from the second equation:

4x - 2y = 0

4*1 - 2*2 = 0

4 - 4 = 0

Answer:

[tex]\boxed{\mathrm{all \: real \: numbers}}[/tex]

Step-by-step explanation:

[tex]F(x)=2^x[/tex]

The domain of a function is the set of input values that the function can take.

There are no restrictions on the value of x.

The domain of the function is all real numbers.

[tex]- \infty\leq x\leq \infty[/tex]