Find a point- slope form for the line with slope 1/5 and passing through the point (-4,-6)

Answers

Answer 1
Answer:

Answer: y-(-6)=1/5(X-(-4))

Step-by-step explanation:

to put together a point slope expresion the equation would be y-y1=m(x-x1)

y1 and x1 being the points on the line and (m) being the slope


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If i buy 4 cans of soup for $6.00 which proportion can be used to find the cost of 13 cans

Answers

Final answer:

The cost of 13 cans of soup, given that 4 cans cost $6.00, can be determined using a proportion. The proportion is set up as 4 cans / $6.00 = 13 cans / x, which Solving for x indicates that the cost for 13 cans of soup is $19.50.

Explanation:

The question is asking for the cost of 13 cans of soup, given that 4 cans cost $6.00. This can be solved using a proportion. A proportion is set up as an equivalent fraction equation, where the ratio of the number of cans to the cost is equal in both situations. Here, the proportion is 4 cans / $6.00 = 13 cans / x, where x is the cost we are trying to find for 13 cans of soup.

To solve for x, we would use cross-multiply. This gives us 4x = 78, where we then divide both sides by 4 to get x = $19.50. So, the cost of 13 cans of soup is $19.50.

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4cans/$6 = 13cans/$x now cross multiply and solve for x

Question on circumference photo attached

Answers

A
as the radius is always half of the circumference to next time think first, what is the half of the circumference 

Solve open parentheses square root of 7 close parentheses to the 6 x power = 49x−6.x = negative 21 over 2
x = −6
x = negative 6 over 5
x = −12

Answers

Answer:

Option D is correct.

x = -12

Step-by-step explanation:

Solve:  (√(7))^(6x) = 49^(x-6)

We can write 49 as:

49 = 7 \cdot 7 = 7^2

using exponent rules:

\sqrt[n]{a^m}=a^{(m)/(n)}

(a^m)^n = a^(mn)

Apply this rules on the given equation:

((7)^{(1)/(2)})^(6x) = (7^2)^(x-6)

7^{(6x)/(2)} = 7^(2(x-6))

Simplify:

7^(3x) =7^(2x-12)

On comparing both sides we get;

3x = 2x-12

Subtract 2x from both sides we get;

x = -12

Therefore, the value of x is -12

The equation is not setup properly, possibly it is your teacher's fault.

From external research, I would say the answer is x = -12.

A rectangular flower bed measures 10 m and by 6m. It has a path 2 m wide around it. Find the area of the path.

Answers

The area of the path is 80 square meters.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the area of the path,

We need to subtract the area of the inner rectangle from the area of the outer rectangle.

So,

The outerrectangle has dimensions 14m by 10m (adding 2m to each side of the flower bed), so its area is:

A outer = 14m x 10m = 140 m²

Now,

The innerrectangle has dimensions 10m by 6m (the original dimensions of the flower bed), so its area is.

A inner = 10m x 6m = 60 m²

Now,

The area of the path.

A path = A outer - A inner

           = 140 m² - 60 m²

           = 80 m²

Thus,

The area of the path is 80 square meters.

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the small rectangular area=6*10=60
the big rectangular area= 140
diference = 80

80 mt2

What is 1/7 to 1/14 as a unit rate

Answers

1/7in=1/14min is what I think. 

At a gymnastics competition, Joey scored 9.4, 9.7, 9.9, and 9.8. Carlos scored 9.5, 9.2, 9.7, and 9.6. Who had the greater average score? By how many point was his score higher?

Answers

Joey's score was higher. It was higher by .8 points
add joey's all together then add Carlos's all together, see who has a greater amount, then subtract to see how much is left.