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
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.
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>
Therefore ,
- Height = h = 8cm .
- Base ,= 9h/4 = 18cm .
<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>
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