can you please help me with this question ​

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

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

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Answer:

2x^2-4x+1

Step-by-step explanation:

2(x-1)^2-1

2(x^2-2x+1)

2x^2-4x+2-1

2x^2-4x+1

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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]

[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]

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Answer:

6

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

+15       +15

-5a=-40

/-5   /-5

a=6

Answer:

A = 8

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

-5a=-40

-40/-5=8

a=8

Answer:

The depth of the Ocean Floor is -780 kilometers

Step-by-step explanation:

The answer is -780 because -15 multiplied by 52 equals -780.

Answer: answer is -7

Step-by-step explanation:

Step-by-step explanation:

Original Equation;

1x=7(x+6)

Multiply the 7 by the x and 6

1x=7x+42

Group like terms

1x-7x=42

-6x=42(Divide both sides by -6)

x= -7 (We have -7 because 42 can be divided by 6 7 times)

Answer:

Greatest Common Factor: 24

Step-by-step explanation:

The greatest common factor is found by multiplying all the factors which appear in both lists: So the GCF of 24 (2x2x2x3) and 48 (2x2x2x2x3) is 2x2x2x3 which is 24.

The greatest common factor of 24 and 48 is 24.

Here, we have,

To find the greatest common factor (GCF) of 24 and 48,

we can use the prime factorization method:

Step 1: Find the prime factorization of each number.

Prime factorization of 24:

24 = 2 * 2 * 2 * 3

Prime factorization of 48:

48 = 2 * 2 * 2 * 2 * 3

Step 2: Identify the common prime factors and their lowest exponents.

Common prime factors: 2 * 2 * 2 * 3

Step 3: Multiply the common prime factors with their lowest exponents.

GCF(24, 48) = 2 * 2 * 2 * 3 = 24

So, the greatest common factor of 24 and 48 is 24.

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9514 1404 393

Answer:

  160 units^2

Step-by-step explanation:

Each of the four triangular faces has an area of ...

  A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units

The square base has an area of ...

  A = s^2 = 8^2 = 64

Then the total surface area is ...

  A = base area + 4 · triangle area

  A = 64 + 4(24) = 160 . . . square units

Answer:

Step-by-step explanation:

(2,3)

Answer:

I believe its ,multiplication

Step-by-step explanation:

because any number you multiply be one is one

mark brainliest if correct please

Answer:

multiplication

Step-by-step explanation:

Cause of Peter griffen

Answer:1/64

Step-by-step explanation: I got it right

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

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Answer:

x=2

Step-by-step explanation:

In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.

-24 = -40x + 56  now you can solve it start by subtracting 56 on both sides

-80 = -40x now divide -40 on both sides

2=x

I hope this helps :)

have a nice day

Answer:

Meeeeeeeeeeeeeeeeeeeeeee

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)

But if you want an integer then It's x ≤ -4

Real Number as it's x ≤ -3.5

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy        ÷ 2

________

2 pounds ÷ 2

=  

3.9 candy

_______

1 pound

=  

3.9 candy

_______

pound

= 3.9 candy per pound

Answer:

y=-6x-8

Step-by-step explanation:

well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6

Answer:

C.

Step-by-step explanation:

m1 is greater than m2 because the angle is larger

Answer:

y=6

Step-by-step explanation:

Answer:

$2754.70

Step-by-step explanation:

Answer:

y = 5- 36

Step-by-step explanation:

6 is the x

-6 is the y

y=mx+b

so m times x, m is the slope

5 times 6 is 30

-6=30+b

so -36

y=5x-36

SORRY IF IM WRONG I TRIED

Answer: 240 in

Step-by-step explanation: 10 x 6 x 4 = 240 in

I hope that helps

25 + 2x = 55

2x = 30

x = 15

The number is 15

Answer:

Step-by-step explanation:

If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55

Answer:

Answer is C.

Step-by-step explanation:

Please like and mark brainliest, thanks :)

Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C

Exponential functions are functions that increases geometrically. The standard exponential function is expressed as  y = ab^x

The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C

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Answer:

it would be 2/3............

Answer:

=4:6

4

6

=2

3

2:3

Step-by-step explanation:

Hope this helps

Pls mark me the brainliest

Answer:

Step-by-step explanation:

(a). - 5t² + 35t - 60 = 0

(b). (x - 3)(x - 4) = 0

(c). t = 3, 4

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across [tex]y=-x[/tex] will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

So, the vertices of U', T' and V' will be:

Therefore, option A) is correct.

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong