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choli [55]
3 years ago
15

6 cows were in a barn. 3 more cows came into the barn from the field. Each cow was given

Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

9 bales of hay

Step-by-step explanation:

Initial value: 6

Additional value: 3

6+3=9 cows

Each cow is fed one bale of hay.

9(1)=9

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Find the equation of the line that passes through (0, -3) and is parallel to
Tresset [83]

Hey there!

\\

  • Answer:

\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

  • Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be \: \sf{d_1} \: and the line that is parallel to \: \sf{d_1} \: be \: \sf{d_2} \: .

\sf{d_2} \: passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}

\\

⇒Subtitute the values :

\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}

\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}

\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}.

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \:  the \: line \: and \: b \: is \: the \: y-intercept.}

\implies \sf{y = \bold{\dfrac{7}{6}}x + b} \\

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line \: \sf{d_1} \:. Now, replace y with -3 and x with 0:

\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:

Therefore, the equation of the line \: \bold{d_1} \: is \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0
2 years ago
Read 2 more answers
A 25 gram sample of a sample that's used for drug research has a k value of 0.1205
ra1l [238]
N=12.5(at time t=t) Here half life
No=25
K=12.05
Simple exponential equation where you need to calculate
Your answer should be 5.75225876
4 0
3 years ago
You win an online auction for a toy. Your winning bid of $35 is 70% of your maximum bid. How much more were you willing to pay f
luda_lava [24]
35 = 70%

If you divide 35 by 7, you will find what 10% of your maximum bid is.
35/7 = 5
5 = 10%

Multiply your value of 10% by 10 to get 100%.
5*10 = 50

Your maximum bid would be $50. You actually spend $35. To find the amount more you were willing to pay, subtract the two values.
$50-$35 = $15

Answer: You were willing to pay 15 more dollars than you did.
5 0
3 years ago
Find (F/g)(x)<br> F(x) = sqrt x^2-1<br> g(x) sqrt x-1
Margaret [11]

Answer:

Option A. √(x + 1)

Step-by-step explanation:

Data obtained from the question include:

f(x) = √(x² – 1)

g(x) = √(x – 1)

(f/g) (x) =..?

(x² – 1) => difference of two square

(x² – 1) => (x – 1)(x + 1)

f(x) = √(x² – 1)

f(x) = √(x – 1)(x + 1)

(f/g) (x) = f(x) /g(x)

f(x) = √(x – 1)(x + 1)

g(x) = √(x – 1)

(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)

(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]

(f/g) (x) = √(x + 1)

7 0
3 years ago
for the decimal 0.555 the value of the digit in the tens place is how many times as much as the value of the digit in the thousa
NNADVOKAT [17]
The value of the digit in the tens place is 100 times as much as the value of the digit in the thousands place.
7 0
3 years ago
Read 2 more answers
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