(1)
take out the common factor (y - 4 )
= (y - 4)(3x - 2)
(2)
factor by grouping (1/2 terms and 3/4 terms )
4y(5x - 1) + 7(5x - 1)
take out the common factor (5x - 1)
= (5x - 1)(4y + 7)
Answer:
24179 square inches
Step-by-step explanation:
In ΔRST, r = 620 inches, s = 840 inches and t=230 inches. Find the area of ΔRST to the nearest square inch.
We use the formula
Heron's formula = √s(s - a)(s - b)(s - c)
Where s = a + b + c/2
Solving for s
s = 620 + 840 + 230/2
s = 845
Solving for the area of the triangle
= √845 × (845 - 620) × (845 - 840) × (845 - 230)
= √584634375
= 24,179.213696893 square inches
Approximately = 24179 square inches
Answer:
Option b and d.
Step-by-step explanation:
Given equation : -5x + 4y > -7
Putting the values of x and y one by one in the options,
a) Putting x as 6 and y as 4.
=> -5(6) + 4(4) > -7
=> -30 + 16 > -7
=> -14 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
Similarly,
b) Putting x as 5 and y as 5.
=> -5(5) + 4(5) > -7
=> -25 + 20 > -7
=> -5 > -7
This satisfies the inequality, hence this is the ordered pair.
c) Putting x as 3 and y as 2.
=> -5(3) + 4(2) > -7
=> -15 + 8 > -7
=> -7 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
d) Putting x as -2 and y as -4.
=> -5(-2) + 4(-4) > -7
=> 10 - 16 > -7
=> -6 > -7
This satisfies the inequality, hence this is the ordered pair.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
Answer:
160 tiles.
Step-by-step explanation:
First let's make an equation.
Each tile costs $4, let's make <em>t=number of tiles.</em>
+$15.82, and the total cost being $655.82
So ideally our equation would look like
<em>4t+15.82=655.82</em>
<em />
Now solve.
First, subtract <em>15.82 </em>on both sides.
<em>4t=640</em>
Second, divide <em>4 </em>on both sides to make the variable <em>t </em>by itself.
<em>t=160</em>
<em />
So, the contractor purchased 160 tiles.
Answer:
x=12 the other answer is 144.
Step-by-step explanation:
You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144
