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2 years ago

A line passes through (10,5) and (13,-4). Write the equation of the line in standard form.

Mathematics

1 answer:

nexus9112 [7]2 years ago

4 0

Using two point form
y-5/-4-5=x-10/13-10
rearrange to get 3x+y-35=0

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Find the sum of -3a + 2 and 5a - 3

Anon25 [30]

Answer

-1(3a-2)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The electrical charge on a metal plate is given

Katarina [22]

Answer:

after 10 seconds the charge is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?

C (t) = 12 $e^{\frac{-t}{5} }$

My answer:

Given the information:

C (t) = 12 $e^{\frac{-t}{5} }$

when t =10 we have:

C (10) = 12 $e^{\frac{-10}{5} }$

<=> C (10) = 12 $e^{-2}$

<=> C (10) = 12 $\frac{1}{e^{2} }$

<=> C (10) = 12 * 0.1353

<=> C (10) = 1.624

Hence, after 10 seconds the charge is 1.624

8 0

3 years ago

Which inequality represents all the solutions of -5x + 5 ≥ 160 − 10x? A. x ≤ -33 B. x ≥ 33 C. x ≥ 31 D. x ≤ 31

ikadub [295]

Answer:

The answer is B.

Step-by-step explanation:

Solve for x.

-5x + 5 $\geq$ 160 - 10x

Add 10x to both sides, and subtract 5 from both sides.

5x $\geq$ 155

Now, divide by 5.

x $\geq$ 31 is the answer

#teamtrees #WAP (Water And Plant)

3 0

3 years ago

Read 2 more answers

The length,AB of the rectangular lot is 1 foot less than two times its width, BC. If the perimeter of the rectangular lot 394 fe

r-ruslan [8.4K]

Answer:

$AB=131\ ft$

Step-by-step explanation:

we know that

The perimeter of the rectangular lot is

$P=2(AB+BC)$ ----> equation A

where

AB is the length

BC is the width

we have

$AB=2BC-1$ ---> equation B

$P=394\ ft$ ----> equation C

substitute equation B and equation C in equation A

$394=2(2BC-1+BC)$

solve for BC

$394=2(3BC-1)$

$394=6BC-2$

$6BC=396$

$BC=66\ ft$

<em>Find the value of AB</em>

$AB=2BC-1$

$AB=2(66)-1$

$AB=131\ ft$

6 0

4 years ago

Which of the following is a solution of x2 + 4x + 25?

blondinia [14]

Solve for x:
x^2 + 4 x + 25 = 0 I ssume that's the notation.
Subtract 25 from both sides:
x^2 + 4 x = -25
Add 4 to both sides:
x^2 + 4 x + 4 = -21
Write the left hand side as a square:
(x + 2)^2 = -21
Take the square root of both sides:
x + 2 = i sqrt(21) or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
x = i sqrt(21) - 2 or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
Answer: x = i sqrt(21) - 2 or x = -i sqrt(21) - 2

5 0

3 years ago