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valkas [14]
3 years ago
6

PLEASE HELP!!!!

Mathematics
1 answer:
Semmy [17]3 years ago
5 0
You should put 4 as x, -3 as y and a as slope to make an equation :
- 3 =  a \times 4
then you can find the slope and the correct equation of the line :

the slope is :
- 3 = 4a \\ a =  \frac{ - 3}{4}
so the equation of the line will be
y =  \frac{ - 3}{4}  x
D is true
hope this helps
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find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)
frutty [35]

Answer:

cosФ = \frac{1}{\sqrt{65}} , sinФ = -\frac{8}{\sqrt{65}} , tanФ = -8, secФ = \sqrt{65} , cscФ = -\frac{\sqrt{65}}{8} , cotФ = -\frac{1}{8}

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

  1. cosФ = \frac{x}{r}
  2. sinФ = \frac{y}{r}
  3. tanФ = \frac{y}{x}
  4. secФ = \frac{r}{x}
  5. cscФ = \frac{r}{y}
  6. cotФ = \frac{x}{y}
  • Where r = \sqrt{x^{2}+y^{2} } (the length of the terminal side from the origin to point (x, y)
  • You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = \sqrt{x^{2}+y^{2} }

∵ x = 1 and y = -8

∴ r = \sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = \frac{x}{r}

∴ cosФ = \frac{1}{\sqrt{65}}

∵ sinФ = \frac{y}{r}

∴ sinФ = -\frac{8}{\sqrt{65}}

∵ tanФ = \frac{y}{x}

∴ tanФ = -\frac{8}{1} = -8

∵ secФ = \frac{r}{x}

∴ secФ = \frac{\sqrt{65}}{1} = \sqrt{65}

∵ cscФ = \frac{r}{y}

∴ cscФ = -\frac{\sqrt{65}}{8}

∵ cotФ = \frac{x}{y}

∴ cotФ = -\frac{1}{8}    

8 0
3 years ago
The scale used for a model of a kitchen is 1/4 in. = 1.5 ft. In the model,
fgiga [73]

Answer:

15ft by 18ft

Step-by-step explanation:

Start with 2.5 divided by .25

That equals 10

10 times 1.5 ,because we know it takes ten .25inches to equal 2.5 and 2.5, is the size of one of the sides.

10 time 1.5 is 15ft

3 divided by .25 is 12

using the same logic and math as stated above we know 3 x .25 equals 12 by 12 quarter inches to make 3 inches

12 x 1.5 Same logic as before

12 x 1.5 equals 18ft

The kitchen is 15ft by 18ft

4 0
3 years ago
Jaoquin buys 3 dozen lightbulbs. After changing the lightbulbs in his house, he has 15 lightbulbs left. How many lightbulbs did
Akimi4 [234]

Answer:

21

Step-by-step explanation:

1 dozen=12

3 dozen= 36

15-36=21

5 0
3 years ago
How to find the median on a dot plot?
pickupchik [31]

Answer:

In order to find the median of the data you take every value and order it from least to greatest. When you do this make sure you write a number the correct amount of times. for example if there are 4 dots above 6 on the dot plot then you need to make sure you write 6 4 times. After you have all the data from least to greatest find the number in the middle. that is the median.


4 0
4 years ago
A rectangular driveway is 47ft long and 19 feet wide. whats its perimeter
Diano4ka-milaya [45]

Answer:

132ft

Step-by-step explanation:

add all the sides

47+47+19+19=132

3 0
3 years ago
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