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2 years ago

Line K has a slope of -5. Line J is perpendicular to line K. What is the slope of line K?

Mathematics

1 answer:

attashe74 [19]2 years ago

8 0

If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

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4 tomatoes cost 3.4 what is the unit rate

choli [55]

$4\ tomatoes\ :\ 3.40\ dollars$

Divide each side by 4 (division property of equality lets us do this) to find the price of one tomato.

$1\ tomato\ :\ \boxed{0.85\ dollars}$ (85 cents)

6 0

3 years ago

Read 2 more answers

What is the value of d to the nearest tenth?

Ghella [55]

Answer: $d=13.8$

Step-by-step explanation:

A line that cuts a circle at two points is called "secant".

There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".

According the Intersecting Secant Theorem:

$(14)(14+20)=(16)(16+d)\\(14)(34)=(16)(16+d)$

Having this expression, the next step is to solve for "d":

Use Distributive property:

$476=256+16d$

Subtract 256 from both sides:

$476-256=-256+256+16d$

$220=16d$

Divide both sides by 16:

$\frac{220}{16}=\frac{16d}{16}\\\\13.75=d$

The value of "d" rounded to the nearest tenth is:

$d=13.8$

6 0

3 years ago

The Oregon trail is 2.197 miles long. How long would it take a covered wagon travelling 20 miles a day to complete the trip? Wri

Bess [88]

Answer: It needs 2.4 hours to complete the trip.

Step-by-step explanation:

Since we have given that

Length of Oregon trail = 2.197 miles

Speed at which it travel = 20 miles per day

we need to find the time taken by it ,

As we know that

$Time=\frac{Distance}{Speed}$

$Time=\frac{2.197}{20}\\\\Time=0.10\text{ days}$

So,

it will be changed into hours

$1\text{ day}=24\text{ hours}\\\\0.1\text{ day}=24\times 0.1=2.4\text{ hours}$

so, it needs 2.4 hours to complete the trip.

3 0

3 years ago

7. Is a triangle with side lengths 9, 18, 7 a right triangle, an acute triangle, or

Reptile [31]

I think the answer is Obtuse

8 0

3 years ago

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209

that is, $12209

3 0

3 years ago