Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
In the given equation, 
is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of . Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-29) and solve for b
Simplify -6 and 2
Add 15 to both sides to isolate b
Therefore, the y-intercept is -14. Plug this back into :
I hope this helps!
Know about the following<span> topics. </span>1<span>. Converse of Pythagorean Theorem. </span>2. 45-45-<span>90 </span>Right Triangles<span>. </span>3<span>. 30-60-90 </span>Right Triangles<span>. </span>4<span>. Tangent Ratio. </span>5. Sine Ratio. 6<span>. ... </span>Check<span> to see whether the </span>side lengthssatisfy the equation c2. = a2 + b2. (√113)2<span> = 72 + 82. 113 = 49 + 64. 113 = 113 </span>✓<span>. </span>7<span>. 8. √113 ? ? The triangle is a.</span>
Answer:
The solution in the attached figure
One possible solution is the point (30,60)
Step-by-step explanation:
Let
x -----> represents the number of tacos sold
y -----> represents the number of burritos sold
we know that
------> inequality A
-----> inequality B
using a graphing tool
The solution is the triangular shaded area
see the attached figure
One possible solution is the point (30,60)
Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
so
That means----> The number of tacos sold is 30 and the number of burritos sold
Verify
Substitute the value of x and the value of y in each inequality
Inequality A
----> is true
Inequality B
----> is true
The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system
Read more on Brainly.com - brainly.com/question/13301815#readmore
Step-by-step explanation:
Answer:
The experimental factor that is manipulated; the variable whose effect is being studied is called <u>independent variable.</u>
Step-by-step explanation:
Consider the provided information.
In an experiment, the two principal variables are the independent and dependent variable.
An independent variable is the variable that is altered or controlled to test the effects on the dependent variable in a scientific experiment.
The variable which is tested and measured in a scientific experiment is a dependent variable.
From the above definition: The experimental factor that changed or controlled in a scientific experiment is called independent variable.
Therefore, the complete statement is: The experimental factor that is manipulated; the variable whose effect is being studied is called <u>independent variable.</u>
Answer:
A) 5
Step-by-step explanation:
The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.
The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.
