Answer:y= -4
Step-by-step explanation:
1 Solve for xx in 7x-4y=-127x−4y=−12.
x=\frac{4(y-3)}{7}
x=
7
4(y−3)
2 Substitute x=\frac{4(y-3)}{7}x=
7
4(y−3)
into 9x-4y=-209x−4y=−20.
\frac{36(y-3)}{7}-4y=-20
7
36(y−3)
−4y=−20
3 Solve for yy in \frac{36(y-3)}{7}-4y=-20
7
36(y−3)
−4y=−20.
y=-4
y=−4
4 Substitute y=-4y=−4 into x=\frac{4(y-3)}{7}x=
7
4(y−3)
.
x=-4
x=−4
5 Therefore,
\begin{aligned}&x=-4\\&y=-4\end{aligned}
x=−4
y=−4
Answer:
The volume(V) of gas will increase when the pressure of the gas decreases assuming all the other variables are held constant.
Step-by-step explanation:
P = Pressure of the ideal gas
V = Volume of the ideal gas
n = Moles of the ideal gas
R = Universal gas constant
T = Temperature of the ideal gas
Answer:
See the attachment
Step-by-step explanation:
The inequalities resolve to ...
x ≥ 1 or x ≤ -3
You have chosen the correct placement of the lines on the number line. The "or equal to" symbol (≥ or ≤) means the dots at -3 and +1 are filled in, indicating those numbers are part of the solution.
If the ">" or "<" symbol is used in the inequality, the dot is left open, as in the answer you selected. The open dot indicates that value is not part of the solution set.
Answer:
E. 2 1/2
E. 8.5 cm
C. 6 cm
Step-by-step explanation:
4............................
Scale factor = AE/AC = (4+6)/4 = 10/4 = 2.5
<u>Correct option is</u> E. 2 1/2
5............................
DE = ?
- DE = √AD² - AE² = √15² - 10² = √125 = 5√3 ≈ 8.66
- <em>For measure of AD see next question (6)</em>
<u>Close option is</u> E. 8.5 cm
6............................
AB = ?
- AD/AB = 2.5 <em>the scale factor as per question 4</em>
- (AB + 9)/AB = 2.5
- 2.5*AB = AB + 9
- 1.5*AB = 9
- AB = 9/1.5
- AB = 6 cm
<u>Correct option</u> C. 6 cm
Answer:
25%
Step-by-step explanation:
% Change = Change ÷ Original × 100
% Change = 19 ÷ 76 × 100
% Change = .25 × 100
% Change = 25