Y = 5x - 13 ----------- (1)
5x + 2y = 19 --------- (2)
Sub (1) into (2):
5x + 2(5x -13) = 19
5x + 10x - 26 = 19
15x = 19 + 26
15x = 45
x = 3 -------- sub back into (1)
y = 5(3) - 13
y = 15 - 13
y = 2
Ans: x = 3, y = 2
Answer:
yes; 4² + 3² = 5²
Step-by-step explanation:
Pythagorean theorem.
In a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Hypotenuse is the longest side of the triangle.
4² + 3² = 5²
16 + 9 = 25
25 = 25
Answer:
a. x < 55
Step-by-step explanation:
We know that the temperature in November was less than 55° every single day, we are then asked to find which inequality out of the four given shows the temperature in November.
To do so, take the most crucial information, "the temperature in November was less than 55° every single day." The words "less than" makes us know that we will be using the sign "<". Looking at the answers, we see only one that uses it, and that is a.
Therefore a is the correct answer.
T=number of tiles bought
cost at store 1 is 0.79t+24
cost at store 2 is 1.19t
when will be equal cost?
0.79t+24=1.19t
minus 0.79t from both sides
24=0.4t
divide both sides by 0.4
60=t
answer is 60 tiles
Answer:
<h2>54m²</h2>
Step-by-step explanation:
<h3>METHOD 1:</h3>
You can use the Heron's formula:
where
<em>p</em><em> - half of perimeter</em>
<em>a, b, c</em><em> - lengths of sides</em>
We have
Calculate:
<h3>METHOD 2:</h3>
Let's check that it is not a right triangle.
If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.
We have
Check:
This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.
The formula of an area of a right triangle is:
<em>a, b</em><em> - legs</em>
Substitute:
