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vivado [14]
3 years ago
6

The slope of a line is . What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space pr

ovided.
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

The slope will be the opposite so if it’s positive turn it negative. If it’s not a fraction then into a fraction by placing a one under if already a fraction just flip it for ex. 1/2 the perpendicular line slope would be -2/1

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What percent of 500 is 120?<br> A. 12%<br> B. 20%<br> C. 24%<br> D. 30%
BARSIC [14]

Answer:

24%

Step-by-step explanation:

6 0
3 years ago
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An object with initial temperature 120° F is submerged in large tank of water whose temperature is
nikitadnepr [17]

Answer:

F(t)=Ts+(T0-Ts)^{e-0.2t

Step-by-step explanation:

<u>Newton's law of cooling states </u>

"<em>that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"</em>

Newton's Law of Cooling is given by the formula

F(t)=Ts+(T0-Ts)^{e-kt

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

F(t)=Ts+(T0-Ts)^{e-0.2t

7 0
3 years ago
The sum of the 3rd and 7th terms of an A.P. is 38, and the 9th term is 37. Find the A.P.
ElenaW [278]

Answer:

The AP is 1, 11/2, 10, 29/2, 19, ....

Step-by-step explanation:

Let the first term be a and d be the common difference of the arithmetic progression.

ATQ, a+2d+a+6d=38, 2a+8d=38 and a+8d=37. Solving this, we will get a=1 and d=9/2. The AP is 1, 11/2, 10, 29/2, 19, ....

4 0
3 years ago
What are the values of x in the equation x2 - 6x + 9 = 25?
hjlf

Answer:

x= -2 or x= 8

Step-by-step explanation:

x^{2} - 6x + 9 = 25

First step, move 25 to the left side so we can do the Quadratic Formula (or you can factor instead.)

x^{2} -6x + 9 - 25 = 0

Next, we know that 9-25 equals -16.

x^{2} - 6x - 16 = 0

Now find that what two numbers multiply and get 16: 2×8 4×4 and 16×1.

Now we do some kind of factoring. The most valuable number must be negative since -6x is negative.

Let's explain about factoring in Quadratic a little bit.

Substitue x²-6x-16 as ax²+bx+c=0

From (ax+d)(bx+c), if we multiply ax and bx, we get the ax²

If we multiply ax and c, we get acx and we multiply d and bx, we get dbx. (axc+bdx) = bx

If we multiply d and c, we get c.

From the factor lf 16, 2×8 seems to be right since -8+2 equals -6 which matches the equation.

Then we get.

(x - 8)(x  + 2) = 0

Seperate both equations.

x - 8 = 0 \\ x + 2 = 0

Find the value of both x.

x = 8 \\ x =  - 2

The answer is x = -2, 8

(The explanation might be weird since I don't know what they are called in English.)

3 0
4 years ago
Read 2 more answers
Which value must be added to the expression x^2+x to make it a perfect-square trinomial? A.1/4 B.1/2 C.1 D.4
barxatty [35]

Hello from MrBillDoesMath!

Answer:

Choice A, 1/4


Discussion:

Consider the perfect square

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The constant term (a^2) equals  1/2 the coefficient of x (i.e.  2a), squared.

Let's apply this idea to x^2 + x

x^2 + x =                                                    => as 2 * 1/2 = 1

x^2 + ( 2 * 1/2)x =

( x^2 + (2* 1/2)x +  ( 1/2) ^2 )  - (1/2) ^2  =    

    as constant term to add is 1/2 coefficient of x (that is, 1/2)  and

     (1/2)^2 - (1/2)^2 = 0

(x + 1/2) ^ 2  - (1/2)^2

In other words add the constant (1/2)^2 = 1/4, which is Choice A.


Thank you,

MrB

7 0
3 years ago
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