Answer:
Step-by-step explanation:
A=p+prt
A-p=prt
A-p/pr=t
<em>Note:</em>
<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>
Question 2
Answer:
The equation in the standard form is:
Please also check the attached graph.
Step-by-step explanation:
We know that the equation in the standard form is
Ax + By = C
where x and y are variables and A, B and C are constants
Given
To determine
- Write the equation in the standard form
We know that the slope-intercept form of the line equation

where
In our case:
substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation
y = mx+b
y = -2/3x + (-4)
y = -2/3x - 4
Writing the equation in the standard form
2/3x + y = -4
Therefore, the equation in the standard form is:
Please also check the attached graph.
Answer:
28
Step-by-step explanation:
First, find the ratio between the triangles. To do this, divide any side of the big triangle by corresponding side in the small triangle. I chose 35. So, 35/10 = 3.5. 3.5 is the ratio between the triangles. Multiply 3.5 by 8 to get 28, the length of the missing side. :)
<h3>
Answer:</h3>
It would be 21b² -32b -5
<h3>
Step-by-step explanation:</h3>
By using the FOIL method, you can simplify the equation.
<em>The Foil Method is </em><u><em>ac + ad + bc +bd</em></u><em>, or </em><u><em>First, Outer, Inner, Last.</em></u>
First, you multiply the first term in each bracket.
3b * 7b = 21b²
Next, you multiply the outer term in each bracket.
3b * 1 = 3b
Then, you multiply the inner term in each bracket.
-5 * 7b = -35b
After that, you multiply the last term in each bracket.
-5 * 1 = -5
Lastly, you combine like terms.
21b² + 3b -35b -5 ---> 21b² -32b -5
<em>21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.</em>
Answer:
x = 41
Step-by-step explanation:
vertical angles are congruent , then
3x = 123 ( divide both sides by 3 )
x = 41