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Bezzdna [24]
2 years ago
12

Consider the graph of the line y = one-halfx – 4 and the point (−4, 2). The slope of a line parallel to the given line is . A po

int on the line parallel to the given line, passing through (−4, 2), is . The slope of a line perpendicular to the given line is . A point on the line perpendicular to the given line, passing through (−4, 2), is .
Mathematics
2 answers:
Musya8 [376]2 years ago
8 0

the awnser is (3,-5)

Dmitrij [34]2 years ago
3 0

Answer:

The slope of a line parallel to the given line is  1/2.

A point on the line parallel to the given line, passing through (−4, 2), is (0,4).

The slope of a line perpendicular to the given line is -2 .

A point on the line perpendicular to the given line, passing through (−4, 2), is (-2,-2) .

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Complete the table to find the pattern in the number of combinations.
Andreas93 [3]

Answers:

Row 0:                       1

Row 1:                      1     1

Row 2:                   1    2    1

Row 3:                 1    3    3     1

Row 4:               1   4   6     4     1

=========================================

Explanation:

This is known as Pascal's Triangle. Each value, other than the '1's, is found by adding the values directly above it. For instance, the '4' is the result of 1+3, and the 6 is a result of 3+3, and so on.

You can use the nCr combination formula to find the same values.

Alternatively you can expand out binomials of the form (x+y)^n, for integer values of n, and you'll find the coefficients of the terms match perfectly with Pascal's Triangle.

5 0
2 years ago
Solve 11 - 1/2y= 3 + 6x for y.​
Ilia_Sergeevich [38]

Answer:

y = 12x+16

Step-by-step explanation:

Simplify both sides of the equation then isolate the variable.

Step 1, add 11 to both sides.

−1 /2 y+11+−11=6x+3+−11

−1 /2 y=6x−8

Step 2, divide both sides by (-1)/2.

You will be left with

y = 12x+16

3 0
2 years ago
Based only on the information given in the diagram which congruence theorems or postulates could be givenas reasons why triangle
Evgesh-ka [11]
The  answer is C, E, and F on Apex
3 0
2 years ago
Read 2 more answers
A prescription calls for the following: Sodium citrate 5 g Tartar Emetic 0.015 g Cherry syrup ad 120 mL Using a balance with a s
ella [17]

Answer:

measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

Step-by-step explanation:

Given:

Mass of Sodium citrate = 5 g

Mass of Tartar Emetic = 0.015 g = 15 mg

Volume of Cherry syrup ad 120 mL = 120 mL

sensitivity = 4 mg

Error = 5%

Now,

The smallest weight that can be measured = \frac{\textup{Sensitivity}}{\textup{Error}}\times100

or

The smallest weight that can be measured =  \frac{\textup{4}}{\textup{5}}\times100  = 80 mg

Now,

80 mg is dissolved in 120 mL of Cherry syrup according to prescription

( Thus,

1 mg is dissolved in \frac{120}{80}\ mL  of Cherry syrup according to prescription )

so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup

=   15\times\frac{120}{80}\ mL

= 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

8 0
2 years ago
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5$5dollar
jenyasd209 [6]

Answer:

$1002516150

Step-by-step explanation:

200200200 + 404040 -  101010 = 200503230

200503230 x 5 = 1002516150

8 0
1 year ago
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