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3 years ago

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

Mathematics

2 answers:

Afina-wow [57]3 years ago

4 0

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

Sergio [31]3 years ago

3 0

Answer: y=-11/4x-8

Step 1: Rewrite equation

11x-4y=32

Step 2: Subtract 11x on both sides

11x-4y=32
-11x -11x
__________
-4y=-11x+32

Step 3: Divide -4 on both sides

-4y/-4=-11x/-4+32/-4
_______________
y=-11/4x-8

Hope this helps comment below for more questions :)

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Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe

9966 [12]

Answer: 117.6° ; 32.4° .
_________________________
Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.
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We are given the following:
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We have a triangle.

Angle 1: m∡1 = (8x) ;

Angle 2: m∡2 = (2x + 3) ;

Angle 3: m∡3 = 30.
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We are asked to find: "m∡1" and " m∡2" .
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Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
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So, " m∡1 + m∡2 + m∡3 = 180 " .
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Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation; then solve for "x" ; then substitute that solved value for "x" into the given expressions for BOTH "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ;
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 m∡1 + m∡2 + m∡3 = 180 ;
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8x + (2x + 3) + 30 = 180 ;
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8x + 2x + 3 + 30 = 180 ;
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Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
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+8x + 2x = +10x ;
___________________________________________
+3 + 30 = +33 ;
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Rewrite the entire equation, as:
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10x + 33 = 180 ;
___________________________________________
Now, subtract "33" from EACH SIDE of the equation:
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10x + 33 − 33 = 180 − 33 ;
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to get:
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10x = 147 ;
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Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" :
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10x / 10 = 147 / 10 ;
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to get:
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x = 14.7 ;
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Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m∡1" and "m∡2"; as follows:
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Angle 1: "(8x)" = 8*(14.7) = 117.6° ;
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Angle 2: "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
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These are the two answers; that is the 2 (TWO) values asked for in the question: 117.6° ; 32.4° .
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Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m∡3 = 30°); all add up to 180° ?
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Let us check:
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m∡1 + m∡2 + m∡3 = 180 ;
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Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
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→ 117.6 + 32.4 + 30 = ? 180 ??
______________________________________________
→ 117.6 + 32.4 = 150 ; → 150 + 30 =? 180 ? Yes!
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3 years ago

What is the factor of 3x2-9x-12? pleaseeee help me guys !!

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Answer:3x² - 9x - 12 =

3(x² - 3x - 4) =

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3(x(x+1)-4(x+1)) =

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Step-by-step explanation:

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3 years ago

A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro

Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

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x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

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3 years ago

A rectangle has a width of 5 inches and a length of 9 inches. What will be the new dimensions of the rectangle after it is

kondor19780726 [428]

Answer:

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Step-by-step explanation:

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3 years ago

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BaLLatris [955]

Answer: Choice A

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Explanation:

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2 years ago

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

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