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MakcuM [25]
3 years ago
8

I need help with #66 and #68

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

b = -8.9

Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]

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Y-32=-5/4(x-32) math
AleksandrR [38]

Answer:

x=3 y=4

Step-by-step explanation:

x+y=7; x + 2y =11

step: solve x + y = 7 for x:

x + y+ -y =7 + -y (add -y to both sides)

x = -y + 7

step: substitute -y + 7 for x in x + 2y =11:

x + 2y = 11

-y + 7 + 2y = 11

y + 7 =11(simplify both sides of the equation)

y + 7 + -7 = 11 + -7 (add -7 to both sides)

y = 4

step: substitute 4 for y in x = -y + 7:

x = -y +7

x = -4 + 7

x = 3 (simplify both sides of the equation)

5 0
4 years ago
Find the approximate area of /CDE. A. 48.3 square units B. 59.8 square units C. 64.6 square units D. 75 square units
Alex Ar [27]

Answer:

B

Step-by-step explanation:

To calculate the area of this triangle we can use the Heron’s formula

Mathematically we have the Heron’s formula as;

A = √s(s-a)(s-b)(s-c)

where s = (a + b + c)/2

Thus, s = (15 + 12+ 10)/2 = 18.5

a = 15, b = 12 and c = 10

Plugging these values into the equation, we have

√18.5(18.5-15)(18.5-12)(18.5-10)

= √18.5(3.5)(6.5)(8.5)

= √ 3,577.4375

A = 59.8116

which is approximately 59.8 square units

8 0
4 years ago
Use the rule to write the first five terms of the pattern rule add 10 subtract 5 first term 11
NNADVOKAT [17]
16, 21, 26, 31, 36
just add five to each previous number to make it easier 
5 0
3 years ago
In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free
cluponka [151]

Answer:

Percentage of free time Gary spends on playing video games and using internet = 54.29%

Step-by-step explanation:

Given:

Gary spends 10 hours per week on the internet.

Gary spends 9 hours per week on video games.

Gary has 5 hours free time per day.

To find the percentage of free time Gary is using to play video game and use the internet.

Solution:

Total number of hours of free time Gary has per week = 5\times 7=35

<em>[As there are 7 days in a week so we multiply by 7]</em>

Total number of hours of free time Gary spends on playing video games and using internet per week = 10+9=19

Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :

⇒ \frac{\textrm{Total time spent on playing video games and using internet per week}}{\textrm{Total free time in a week}}\times 100

⇒ \frac{19}{35}\times 100

⇒ 54.29% (Answer)

4 0
3 years ago
What is the answer to this please someone explain ​
8090 [49]

Answer:

D

Step-by-step explanation:

Divide the composite shape into 2 rectangles.

The dimensions of the 2 rectangles are :

  • w * (x + z)
  • y * z

Then, we plug in the values.

1st Rectangle

7 * (14 + 10)

7 * 24

168

2nd Rectangle

9 * 10

90

Then, we add together.

168 + 90 = 258

5 0
3 years ago
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