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Stella [2.4K]
2 years ago
7

Parallel to y=−3/4x, through (4, -1)

Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0

Answer:

y=-\frac{3}{4}x+2

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= -\frac{3}{4}

Parallel lines have the same slope. Thus, the slope of the line would also be -\frac{3}{4}.

y=-\frac{3}{4}x +c

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

-1=-\frac{3}{4} (4)+c

-1= -3 +c

<em>Add 3 to both sides:</em>

c= -1 +3

c= 2

Thus, the equation of the line is \bf{y=-\frac{3}{4}x+2.

Additional:

Do check out the following for a similar question on slope-intercept form!

  • brainly.com/question/25549430
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Solve for x: 5x+3y=15
Gnoma [55]

Answer:

y = (-5/3)x - 5

Step-by-step explanation:

5x + 3y = =15

slope intercept for is: y = mx + b

3y = -5x=15

divide both sides by 3:

y = (-5/3)x - 5

8 0
3 years ago
The table below shows values for functions f(x) = g(x) <br> What are the solutions to f(x) = g(x)?
MakcuM [25]
The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).

What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.

Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.

8 0
3 years ago
The base of a triangle is 9/4 times of its height. If the area of triangle is 144 cm2. Find the height and the base.
Mazyrski [523]

Step-by-step explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

<u>•</u><u> </u><u>Acco</u><u>rding</u><u> </u><u>to</u><u> </u><u>Question</u><u> </u><u>:</u><u>-</u><u> </u>

\tt\to Area_{(\triangle)}=\dfrac{base\times height}{2}\\\\\tt\to 144cm^2 = \dfrac{9h\times h}{4\times 2 } \\\\\tt\to h^2 =\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }\\\\\tt\to h =\sqrt{\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }}\\\\\tt\to h =\dfrac{(12)(2)}{3} \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}

Therefore ,

  • Height = h = 8cm .
  • Base ,= 9h/4 = 18cm .
5 0
3 years ago
Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}
Elena-2011 [213]

<em>Hey </em><em>mate!</em><em>!</em>

<em>Answer:</em>

<em>n(</em><em>A)</em><em>=</em><em>1</em><em>2</em>

<em>Solution</em><em>,</em>

<em>A=</em><em>{</em><em>3</em><em>,</em><em>6</em><em>,</em><em>9</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>5</em><em>,</em><em>1</em><em>8</em><em>,</em><em>2</em><em>1</em><em>,</em><em>2</em><em>4</em><em>,</em><em>2</em><em>7</em><em>,</em><em>3</em><em>0</em><em>,</em><em>3</em><em>3</em><em>,</em><em>3</em><em>6</em><em>}</em>

<em>Just </em><em>count </em><em>the </em><em>elements</em><em>,</em>

<em>There </em><em>are </em><em>1</em><em>2</em><em> </em><em>elements </em><em>in </em><em>the </em><em>set.</em>

<em>So </em><em>the </em><em>cardinal </em><em>number </em><em>of </em><em>the </em><em>set </em><em>is </em><em>1</em><em>2</em><em>.</em>

<h2><em>Hope </em><em>it </em><em>helps.</em><em>.</em><em>.</em></h2>
8 0
3 years ago
Read 2 more answers
HELP WITH MY MATH EXAM i don't know what to do and my head hurts a lot
gogolik [260]

Answer:

x = 154/13

Step-by-step explanation:

You are given the measures of all three angles in a triangle

so according to the Triangle Sum Theorem:

∠MNO + ∠OMN + ∠NOP = 180

1. Substitute the measures of the angles into the equation:

(3x + 11) + (2x + 20) + (8x - 5) = 180

2. Combine like terms:

(3x + 2x + 8x) + (11 + 20 -5) = 180

13x + 26 = 180

3. Isolate x by subtratcing 26 from both sides

13x + 26 -26 = 180 -26

13x  = 154

4. Solve for x by dividing both sides by 13

13x/13 = 154/13

x = 154/13

8 0
3 years ago
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