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3 years ago

Calculate the size of each of the unknown angles marked on the following diagrams.

Mathematics

1 answer:

Alex777 [14]3 years ago

6 0

Step-by-step explanation:

let me know if you need further explanation

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A line passes through the point (-6, -8) and has a slope of 3/2

garri49 [273]

Answer:

y=3/2(x) -1, or y = 1.5x - 1

Step-by-step explanation:

To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:

y=mx+b.

For this particular line, you would write:

-8 = 3/2(-6)+b

-8 = -18/2 + b

-8 = -9 + b

add 9 to both sides to isolate the b

-1 = b.

Now that you have the answer for b (-1), you can write the equation as:

y=3/2(x) -1

7 0

3 years ago

What is the equation of the line that has a slope of 4 and passes through then point (3,-10)?

Fynjy0 [20]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Substitute the x and y values into the equation:

y = mx + c

'm' is the slope, which we know is 4

-10 = 4(3) + c

- 10 = 12 + c

c = -22

The equation is y = 4x -22

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0

3 years ago

2x-y+z=9 x+y-2z=-1 -x+2y+2z=-5

slega [8]

X=3
Y=-2
Z=1

Hope this helps.

3 0

3 years ago

Please tell me the slope ontercept forn of this equation step by step 11x-4y=32

Afina-wow [57]

Answer:

Gradient is 11/4 and y intercept -8

Step-by-step explanation:

11X -4Y =32

transfer 11x on other side

-4y = -11x +32

multiply all termsby -1 so that coefficient of y is positive

4Y = 11X -32

DIVIDE ALL TERMS BY 4

Y = (11/4)X -8

COMPARE THIS WITH Y=mX +C

GRADIENT m is 11/4 and Y intercept C is -8

Gradient is 11/4 and y intercept -8

4 0

3 years ago

Read 2 more answers

A random sample of 77 fields of durum wheat has a mean yield of 27.427.4 bushels per acre and standard deviation of 5.755.75 bus

xz_007 [3.2K]

Answer:

[ 21.79, 33.0 ]

Step-by-step explanation:

Given:

Sample size, n = 7

Sample mean, μ = 27.4

Standard deviation, σ = 5.75

Confidence level is 99%

also, population is normal i.e normally distributed

Thus,

Confidence interval = μ ± $z\frac{\sigma}{\sqrt n}$

For confidence level of 99%

z-value = 2.58

Therefore,

Lower limit of Confidence interval = μ - $2.58\times\frac{5.75}{\sqrt{7}}$

Lower limit of Confidence interval = 27.4 - $2.58\times\frac{5.75}{\sqrt{7}}$

Lower limit of Confidence interval = 21.79

Upper limit of Confidence interval = μ + $2.58\times\frac{5.75}{\sqrt{7}}$

Upper limit of Confidence interval = 27.4 + $2.58\times\frac{5.75}{\sqrt{7}}$

Upper limit of Confidence interval = 33.00

Hence, confidence interval = [ 21.79, 33.0 ]

5 0

3 years ago