What is the solution to this system of linear equations?

7x – 2y = –6

8x + y = 3

(–6, 3)
(0, 3)
(1, –5)
(15, –1)

Answer:

Ali is 20

Adam is 25

Step-by-step explanation:

Answer:

AC = 4DB

Step-by-step explanation:

see attachment

Given that B is the midpoint of AC, this means that AB≅BC.

Also, D is the midpoint of AB, therefore AD≅DB.

This shows that AD is 1/4 of the length of AC, since it is 1/2 of the length (1/2 x 1/2 = 1/4).  DB is the same length, since it is congruent to AD.

Thus, AC = 4DB.

Answer:

B. AC = 4DB

May I have brainliest please? :)

Answer:

233 parking spots

Step-by-step explanation:

1327 - 162 = 1165

1165 ÷ 5 = 233

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

Answer:

work is shown and pictured

Step-by-step explanation:

84 km to miles is 52.195 miles

Answer: h = -13

Step-by-step explanation: To get the answer for h all we have to do is....

78 ÷ -6 = -13

Let's check our work....

-6 x -13 = 78

I hope this helps!

Answer:

h= -13

Step-by-step explanation:

To solve the equation, we want to find out what h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-6h=78

h is being multiplied by -6. The opposite of multiplication is division. Divide both sides by -6.

-6h/-6=78/-6

h=78/-6

h= -13

Let's check our solution. Substitute -13 back in for h in the original equation.

-6h=78

-6(-13)=78

Multiply

78=78

Since both sides of the equation are the same, we know that the correct answer is h= -13.

Answer:

b) 30^2 + b^2 = 40^2

Step-by-step explanation:

This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2

c ^ 2 always is on the right hand side of the equation.

In this case since 40^2 is c^2 is should be on the right side of the equation.

Answer:

[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Step-by-step explanation:

[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]

[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Answer:

$350 < M

Step-by-step explanation:

Answer:

103.5 m²

Step-by-step explanation:

To find the area of a right trapezoid, you can decompose it into a rectangle and a triangle. The sum of the area of  the rectangle and the triangle gives the area of the trapezoid.

For the right trapezoid attached below, the area can be gotten by:

Area of rectangle = length × breadth = 9 × 8 = 72 m²

Area of triangle = 1/2(base × height) = 0.5 × 7 × 9 = 31.5 m²

Area of trapezoid = Area of rectangle + Area of triangle = 72 m² + 31.5 m² = 103.5 m²

Answer:

8, 11, 14

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

[tex]a_{n}[/tex] = 8 + (n - 1)3 , then

a₁ = 8 and d = 3 , thus

a₂ = 8 + 3 = 11

a₃ = 11 + 3 = 14

The first 3 terms are 8, 11, 14

Answer:

8

11

14

THAT IS THE ANSWER TO THE QUESTION

Answer:

C

Step-by-step explanation:

like I said, find the square area and subtract the triangles.

28 x 28= 784

Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.

28-11.6=16.4

16.4/2=8.2

8.2 is the leg's length.

8.2*8.2*1/2*4=134.48

Subtract it to the square's area. 784-134.48= 649.52

Now round!

You get C

When dividing indices with the same base, the rule is to subtract the index of the denominator from the index of the numerator, and to keep the base the same.

In this case, the index of our denominator is 6, and the index of the numerator is 2.

2-6 = -4

The answer is [tex]4^{-4}[/tex].

Answer:

1) 4^-4

2) 1/256

Step-by-step explanation:

did on edge

Answer:

-9 ≤ y ≤ 5

Step-by-step explanation:

The range is all the values of y. In this case, the values of y are any number in between -9 and 5. So -9 ≤ y ≤ 5.

Answer:

x ≥ 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]12\sqrt{7}\\=31.74901[/tex]

Step-by-step explanation:

If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .

Answer:

x = -4

Step-by-step explanation:

1. (2x2 +  8x) -  (x2 - 16)  = 0

2. Factoring  x2+8x+16  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +16  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 16 = 16  

Step-2 : Find two factors of  16  whose sum equals the coefficient of the middle term, which is   8 .

     -16    +    -1    =    -17  

     -8    +    -2    =    -10  

     -4    +    -4    =    -8  

     -2    +    -8    =    -10  

     -1    +    -16    =    -17  

     1    +    16    =    17  

     2    +    8    =    10  

     4    +    4    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  4  and  4  

                    x2 + 4x + 4x + 16

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x+4)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x+4)

            Which is the desired factorization

Multiply  (x+4)  by  (x+4)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x+4)  and the exponents are :

         1 , as  (x+4)  is the same number as  (x+4)1  

and   1 , as  (x+4)  is the same number as  (x+4)1  

The product is therefore,  (x+4)(1+1) = (x+4)2

(x + 4)2  = 0

3.

Solve  :    (x+4)2 = 0  

 (x+4) 2 represents, in effect, a product of 2 terms which is equal to zero

For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means :   x+4  = 0

Subtract  4  from both sides of the equation :  

                     x = -4

Answer:

x = -4

Step-by-step explanation:

=> 2x²+8x = x²-16

=> 2x²- x² + 8x + 16 = 0

=> x² + 8x + 16 = 0

Using mid-term break formula

=> x² + 4x + 4x + 16 = 0

=> x(x+4)+4(x+4) = 0

=> (x+4)(x+4) = 0

=> (x+4)² = 0

Taking square root on both sides

=> x+4 = 0

=> x = -4

Answer:

-6 =x

Step-by-step explanation:

g(x) = -3x -8

g(x) = 10

10 = -3x-8

Add 8 to each side

10+8 = -3x-8+8

18 = -3x

Divide by -3

18/-3 = -3x/-3

-6 =x

Answer:

14

Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Answer:

2cm by 3cm by 3cm.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to help us in solving this particular Question or problem;

=> We have a built rectangular prism.

=> The rectangular prism was built by using 18 cubes.

=> Each of the 18 cubes measure 1 cm on each side.

So, the dimensions of Carley's rectangular prism is given below as the multiples of 18 since each of the 18 cubes measure 1 cm on each side.

That's 2 cm × 3 cm × 3cm. Therefore, the length will be 2cm, breadth will be 3cm and height will be 3cm.

Answer:

437+36x>=500

Step-by-step explanation:

This basically shows that 437 plus the x miles he will walk per day for 36 will total to more than or equal to 500

Answer:

C 437 + 36x >_ 500

Step-by-step explanation: its because the total amount is 500 miles so its alone on one side of the equation. Then we have 437 miles + 36 days with x as a amount of how many miles per day. so first subtract 437 out off 500 then divide it by 36 which gives u X which is the answer.

Answer:

x=< -1

Step-by-step explanation:

move the constant to the right-hand side and change its sign. 2x<-5+3

Calculate the sum

2x<-2

Divide both sides of the inequality by 2

x <-1

Answer:

90.80

Step-by-step explanation:

6x+4

= (6)(13)+4

= 78+4

=82

3x

=(3)(13)

= 39

So we know the sides are 39 and 82

Pythagoras theorem in triangles

= a2+b2= c2

Now, we know the value of a and B but not c (the hypotenuse)

Therefore,

c2 = (39)^2 + (82)^2

= 1521+ 6724

= 8245

so, c = √8245

= 90.80 unitd

Answer:

9975

Step-by-step explanation:

See attachment.

( 105 ) * ( 95 )

(100+5) * (100-5)

100*100 * (1 + 5/100) * ( 1 - 5/100)

10000 * ( 1 - 5/100 + 5/100 - {25/10000} )

- 5/100 + 5/100, they cancel each other out to 0

10000 * ( 1 + 0 - {25/10000} )

10000 * ( 1 - {25/10000} )

10000 - {25*10000/10000}

10000 - {25}

9975

Answer:

Step-by-step explanation:

The picture shows the preimage ABCD and the image A'B'C'D'.

Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.

Therefore, the right answers are reflection and translation.

Answer:

[tex] {a}^{2} [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \frac{ {a}^{5} }{ {a}^{3} } \\ = {a}^{5 - 3} \\ = {a}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Hey!!

The answer is a^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

A. If none of the output values are repeated, the relation is a function

Step-by-step explanation:

The reason why A is correct stems from the concept of the vertical line test. If each x-value has their own respective output (y-value), then the relation is a function.

Choice B just states that if none of the x-values are repeated. then the relation is a function. This is not correct because it doesnt follow the vertical line test, which analyzes if any y-values are being repeated

Choice C and D doesnt have any correlation with the vertical line test because an x-value doesnt have to equal a y-value to make the relation a function. Vice versa for any y value being equal to any x-value.

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment