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4 years ago

What is the slope of a line perpendicular to the line passing through (1, -3) and (-4, 7)?

Mathematics

1 answer:

andrezito [222]4 years ago

7 0

Answer:

-2

Step-by-step explanation:

m= $\frac{y2-y1}{x2-x1}$

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Factor x^2+5x-84 please

frutty [35]

Answer:

Step-by-step explanation:

The factors of 84 are: $\pm: 1, 84, 2, 42, 3, 28, 4, 21, 6, 14, 7, 12 ...$

7 and 12 can make 5. Since 84 is negative and 5 is positive, the larger number of the two must be the positive number in the factorization. In this case, it is

$(x+12)(x-7)$

4 0

3 years ago

write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24 g to 56 g (picture)

ryzh [129]

9514 1404 393

Answer:

3/7

Step-by-step explanation:

The fraction is ...

$24\text{ g to }56\text{ g}=\dfrac{24\text{ g}}{56\text{ g}}=\dfrac{3}{7}\cdot\dfrac{8\text{ g}}{8\text{ g}}=\boxed{\dfrac{3}{7}}$

5 0

3 years ago

Read 2 more answers

HELP PLEASE 30 POINTS! WILL MARK BRAINLIEST IF CORRECT!!!!!

KATRIN_1 [288]

Answer:

See Below.

Step-by-step explanation:

We want to verify:

$\cos(x-y)-\cos(x+y)=2\sin(x)\sin(y)$

We will utilize the following identities:

$\cos(x-y)=\cos(x)\cos(y)+\sin(x)\sin(y)$

And:

$\cos(x+y)=\cos(x)\cos(y)-\sin(x)\sin(y)$

So, by substitution, we acquire:

$(\cos(x)\cos(y)+\sin(x)\sin(y))-(\cos(x)\cos(y)-\sin(x)\sin(y))=2\sin(x)\sin(y)$

Distribute:

$\cos(x)\cos(y)+\sin(x)\sin(y)-\cos(x)\cos(y)+\sin(x)\sin(y)=2\sin(x)\sin(y)$

The first and third term will cancel:

$\sin(x)\sin(y)+\sin(x)\sin(y)=2\sin(x)\sin(y)$

Combine like terms:

$2\sin(x)\sin(y)\stackrel{\checkmark}{=}2\sin(x)\sin(y)$

5 0

3 years ago

Read 2 more answers

Help please will mark!! Melissa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each clie

ioda

Answer:

clients who did Plan A and

who did Plan B. On Tuesday there were

clients who did Plan A and

who did Plan B. Linda trained her Monday clients for a total of

hours and her Tuesday clients for a total of

hours.

Step-by-step explanation:

let x equal the number of hours for each plan A workout.

let y equal the number of hours for each plan B workout.

on monday, there were 3 clients who did plan A workout and 2 clients who did plan B workout for a total of 4 hours.

the formula for monday becomes 3x + 2y = 4

on tuesday, there were 8 clients who did plan A workout and 4 clients who did plan B workout for a total of 9 hours.

the formula for tuesday becomes 8x + 4y = 9

you have to solve these 2 equations simultaneously.

they are:

3x + 2y = 4

8x + 4y = 9

multiply both sides of the first equation by 2 and leave the second equation as is to get:

6x + 4y = 8

8x + 4y = 9

7 0

3 years ago

Match the given equation with the verbal description of the surface:

san4es73 [151]

Match of the equation with the verbal description of the surface would be :

Equation 1 = C. plane

Equation 2 = F. Circular cylinder

Equation 3 = C. plane

Equation 4 = E. sphere

Equation 5 = A. cone

Equation 6 = E. Sphere

Equation 7 = F. Circular cylinder

Equation 8 = B. Eliptic or circular paraboloid

Equation 9 = A. cone

Hope this helps

5 0

3 years ago