Answer:
25
Step-by-step explanation:
If HI and IJ are both the same and meet at the same point, the triangles would be the same.
Answer:
x = -2
y = -1
(-2, -1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 1
3x + 3y = -9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 3x + 3(x + 1) = -9
- Distribute 3: 3x + 3x + 3 = -9
- Combine like terms: 6x + 3 = -9
- Isolate <em>x</em> term: 6x = -12
- Isolate <em>x</em>: x = -2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 1
- Substitute in <em>x</em>: y = -2 + 1
- Add: y = -1
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
Answer:

Step-by-step explanation:

Switching x variable with -2.

Evaluating.


we know that
diameter of the base of a cylindrical can= 4 in----------> r=2 in
h=6.5 in
[surface area]=2*[pi*r²]+[2*pi*r*h]
then
[surface area]=2*[pi*2²]+[2*pi*2*6.5]=[ 25.13 ]+[ 81.68 ]=106.81 in²
the answer is 106.8 in²
Taking into account the supplied speeds, Boston is from the destination to:
<h3>
Calculation of the
distance between
Boston and Place of
Destination</h3>
To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :
- Regular train: 60 miles
- Express train: 80 miles
According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.
Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:
And clearing the distance:
Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.
If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056