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Ann [662]
4 years ago
12

Can you help with this?

Mathematics
1 answer:
gregori [183]4 years ago
4 0
The slope of the given line  = 1  so the slope of the line perpendicular to it will be -(1/1)  = -1.
It also passes through point (1, -1)  so we use the point slope equation

y - y1 = m(x - x1)

y - -1) = -1(x - 1)
y + 1 = -x + 1
y = - x    <--------- that's the answer


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The cost of cookies at a bakery varies directly with the number of cookies bought. David spent $6.60 when he bought 4 cookies. C
Ad libitum [116K]

Answer:

t = 1.65(c)

Step-by-step explanation:

For 4 cookies  = $6.60

For 1 cookie = $6.60/4 = $1.65

For t cookies = $1.65(c)

Equation:-

t = 1.65(c)

7 0
3 years ago
Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se
kogti [31]

Answer:

<h3>36 and 12</h3>

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1  -1296/x²

0 =  1  -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0
3 years ago
All 6 members of a family work. Their hourly wages (in dollars) are the following.
Bess [88]
All 6 members of a family work. Their hourly wages (in dollars) are the following.
18, 14, 35, 34, 11, 26
Assuming that these wages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
8 0
4 years ago
HELPPPPPPPPPPPPPPPPPPPPPP
scoray [572]

Answer:

x= 24, y= 33°

Step-by-step explanation:

MJ is part of the diameter of the circle and there is right angle between the diameter and HK

As the diameter and HK are perpendicular, HM=MK and mHJ= mJK

So,

  • x= 24

and

  • y= 66°/2= 33°

4 0
3 years ago
Harvey flew south 300 miles. He changed planes and then flew east 500 miles. If he travels a straight path back home, how many m
Andrews [41]

Answer:

583 miles

Step-by-step explanation:

Let's draw this out (see attachment).

The straight line path creates the hypotenuse of a right triangle with legs of lengths 300 and 500. So, we use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 300 and b = 500. Then:

300² + 500² = c²

90000 + 250000 = c²

340000 = c²

c = √340000 ≈ 583.1 ≈ 583 mi

Thus, the answer is 583 miles.

<em>~ an aesthetics lover</em>

3 0
4 years ago
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