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Leokris [45]
3 years ago
7

Write the equation of the line through the given point with the given slope. If possible use slope-intercept form. Simplify comp

letely Through: (-3, -3) slope 5/3
Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer: The equation is

y = 5x/3 + 2

Step-by-step explanation:

represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

The slope is given as 5/3 and the point that it passes through is

(-3, -3)

To determine the intercept, we would substitute x = - 3, y = - 3 and m= 5/3 into y = mx + c. It becomes

- 3 = 5/3 × - 3 + c = - 5 + c

c = - 3 + 5 = 2

The equation becomes

y = 5x/3 + 2

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If I'm doing it wrong correct me please but can you finish the rest for me idk how to
nevsk [136]
Sorry Im in 6th but i still have no idea......

4 0
3 years ago
HELPPPP!!!
Hatshy [7]

Answer:

(x - 1)²/4² - (y - 2)²/2² = 1 ⇒ The bold labels are the choices

Step-by-step explanation:

* Lets explain how to solve this problem

- The equation of the hyperbola is x² - 4y² - 2x + 16y - 31 = 0

- The standard form of the equation of hyperbola is

  (x - h)²/a² - (y - k)²/b² = 1 where a > b

- So lets collect x in a bracket and make it a completing square and

  also collect y in a bracket and make it a completing square

∵ x² - 4y² - 2x + 16y - 31 = 0

∴ (x² - 2x) + (-4y² + 16y) - 31 = 0

- Take from the second bracket -4 as a common factor

∴ (x² - 2x) + -4(y² - 4y) - 31 = 0

∴ (x² - 2x) - 4(y² - 4y) - 31 = 0

- Lets make (x² - 2x) completing square

∵ √x² = x

∴ The 1st term in the bracket is x

∵ 2x ÷ 2 = x

∴ The product of the 1st term and the 2nd term is x

∵ The 1st term is x

∴ the second term = x ÷ x = 1

∴ The bracket is (x - 1)²

∵  (x - 1)² = (x² - 2x + 1)

∴ To complete the square add 1 to the bracket and subtract 1 out

   the bracket to keep the equation as it

∴ (x² - 2x + 1) - 1

- We will do the same withe bracket of y

- Lets make 4(y² - 4y) completing square

∵ √y² = y

∴ The 1st term in the bracket is x

∵ 4y ÷ 2 = 2y

∴ The product of the 1st term and the 2nd term is 2y

∵ The 1st term is y

∴ the second term = 2y ÷ y = 2

∴ The bracket is 4(y - 2)²

∵ 4(y - 2)² = 4(y² - 4y + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out

   the bracket to keep the equation as it

∴ 4[y² - 4y + 4) - 4]

- Lets put the equation after making the completing square

∴ (x - 1)² - 1 - 4[(y - 2)² - 4] - 31 = 0 ⇒ simplify

∴ (x - 1)² - 1 - 4(y - 2)² + 16 - 31 = 0 ⇒ add the numerical terms

∴ (x - 1)² - 4(y - 2)² - 16 = 0 ⇒ add 14 to both sides

∴ (x - 1)² - 4(y - 2)² = 16 ⇒ divide both sides by 16

∴ (x - 1)²/16 - (y - 2)²/4 = 1

∵ 16 = (4)² and 4 = (2)²

∴ The standard form of the equation of the hyperbola is

   (x - 1)²/4² - (y - 2)²/2² = 1

4 0
3 years ago
Question 1 (1 point)
dimulka [17.4K]

Answer: ik 2/3 Ian one but don’t know about the others

8 0
3 years ago
Find the value of x y and z below !
ehidna [41]

Answer:

x=67, y=121, z=65

Step-by-step explanation:

One property of parallelogram is that opposite angles have the same measure, so we can write down:

(y-9)=112\\y=121

Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:

(z+3)+112=180\\(x+1)+112=180

Solve the equations:

(z+3)+112=180\\z+115=180\\z=65\\(x+1)+112=180\\x+113=180\\x=67

To check, add up all 4 angles and check if they sum up to 360 degrees:

x=67, y=121, z=65\\(y-9)+(x+1)+(z+3)+112=360\\(121-9)+(67+1)+(65+3)+112=360\\112+68+68+112=360\\360=360

And please ignore the fact that I cannot insert the degree sign :(

8 0
2 years ago
Which equation is the inverse of y = 16x2 + 1?<br> | yi x=1
dsp73

so sixteen times 2 is 32 +1 is 33 so yi is 32 I think I'm not sure cause I dont get that

8 0
3 years ago
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