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Neporo4naja [7]
3 years ago
9

Standard form of (2,-4) slope : -1

Mathematics
1 answer:
gladu [14]3 years ago
5 0
Y = mx + b
slope(m) = -1
(2,-4)...x = 2 and y = -4
now we sub and find b, the y int
-4 = -1(2) + b
-4 = -2 + b
-4 + 2 = b
-2 = b

y = -x - 2
x + y = -2 <== standard form
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Write the three forms of the line parallel to the line represented by the equation, 8x+3y=11 such that it passes through the poi
Misha Larkins [42]

Answer:

  • 8x + 3y = 57
  • y = -8/3x + 19
  • y + 5 = -8/3(x - 9)

Step-by-step explanation:

<u>Given function</u>

  • 8x+3y=11

<u>Line parallel to the given has the same slope and passes through the point </u>

  • (9, -5)

<u>Determining the equation</u>

  • 8x + 3y = c
  • 8*9 + 3*(-5) = c
  • c=72 - 15
  • c = 57

<u>So the function is in </u><u>standard</u><u> form</u>

  • 8x + 3y = 57

<u>Converting to </u><u>slope-intercept</u><u> form</u>

  • y = mx + b
  • 3y = -8x + 57
  • y = -8/3x + 573
  • y = -8/3x + 19

<u>Point-slope</u><u> form, using the given point</u>

  • y - y1 = m(x - x1)
  • y - (-5) = -8/3(x - 9)
  • y + 5 = -8/3(x - 9)

6 0
3 years ago
a piece of wood used for construction is 2 inches by 4 inches by 24 inches. what is the surface area of the wood
FrozenT [24]
2*2*4+2*2*24+2*4*24
16+96+192=304

304 is the answer
8 0
2 years ago
Isolate the variable x. - 5x &lt; 10
Neporo4naja [7]

Answer:

x > - 2

x ∈ ( - 2 ; + oo)

Step-by-step explanation:

- 5x < 10 | *(-)

5x > - 10 | : 2

x > - 2

x ∈ ( - 2 ; + oo)

8 0
3 years ago
A passenger truck has a capacity of 40 people. If only 80% of their seats are occupied. How many passengers are in the truck?
quester [9]

Answer:

32

Step-by-step explanation:

80 x 40 = 3,200

3,200 / 100 = 32

4 0
3 years ago
What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? Star
Komok [63]

The quotient of the number given number  7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

<h3>What is the quotient?</h3>

Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

q=\dfrac{a}{b}

Here, (<em>a, b</em>) are the real numbers.

The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,

\dfrac{7^{-1}}{7^{-2}}

Let the quotient of this division is n. Therefore,

n=\dfrac{7^{-1}}{7^{-2}}

A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,

n=\dfrac{7^{2}}{7^{1}}\\n=7

Hence, the quotient of the number given number  7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

Learn more about the quotient here;

brainly.com/question/673545

7 0
2 years ago
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