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kakasveta [241]
2 years ago
7

12. Find a number t such that the line containing the points

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
4 0

Answer:

t= 11

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Gradient of line that contains points (3, 7) & (5, 11)

=  \frac{11 - 7}{5 - 3}

=  \frac{4}{2}

= 2

The product of the gradients of two perpendicular lines is -1.

Gradient of the line that contains points (t, -2) & (-3, 5)

= -1 ÷2

=  -  \frac{1}{2}

\frac{ - 2 - 5}{t - ( -3 )}  =  -  \frac{1}{2}

\frac{ - 7}{t + 3}  =   \frac{ - 1}{2}

Cross multiply:

-(t +3)= -7(2)

Dividing by -1 on both sides:

t +3= 7(2)

t +3= 14

t= 14 -3

t= 11

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3 years ago
Suppose the following regression equation was generated from the sample data of 50 cities relating number of cigarette packs sol
frez [133]

Answer:

A) According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

Step-by-step explanation:

Given the regression equation:

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Conlusion:

Simnce p value, 0.0865 is greater than level of significance, 0.05, BARS is not significant. Thus, allowing smoking in bars increase cigarette sales, since the coefficient of BARS is positive.

Correct answer is option A.

According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

4 0
2 years ago
The vertices of a triangle are A(0,3) B(-2,-4) and C(1,5) find the new vertices
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Answer:

see explanation

Step-by-step explanation:

Using the translation rule (x, y ) → (x - 2, y + 4 )

Subtract 2 from the original x- coordinate and add 4 to the original y- coordinate, thus

A(0, 3 ) → A'(0 - 2, 3 + 4 ) → A'(- 2, 7 )

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2 years ago
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timama [110]
P=0.042

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3 years ago
How can you use substitution to solve a system of linear equations?
makvit [3.9K]
Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.

Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!
6 0
3 years ago
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