Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x = − 70 ± √4210/30
Decimal Form:
x = −0.03
Step-by-step explanation:
5x(6x+28)=−23
Step 1: Simplify both sides of the equation.
30x2+140x=−23
Step 2: Subtract -23 from both sides.
30x2+140x−(−23)=−23−(−23)
30x2+140x+23=0
Step 3: Use quadratic formula with a=30, b=140, c=23.
x=−b±√b2−4ac/2a
x=−(140)±√(140)2−4(30)(23)/2(30)
x=−140±√16840/60
x=−7/3+1/30√4210 or x=−7/3+−1/30√4210
Answer:
m∠R=76°
Step-by-step explanation:
∠STR=∠RST=(2x+2)° (base angles of isos triangle)
2(2x+2)+(3x+1)=180 (angle sum of triangle)
4x+4+3x+1=180
7x+5=180
7x=180-5
=175
x=175÷7
=25
Hence, m∠R = (3x+1)°
= [3(25)+1]°
= (75+1)°
= 76°
Answer:
a) (+) × (?) = (+)
(?) = (+)
b) (-) × (+) = ?
? = (-)
c) (?) × (-) = ?
? is undefined
Step-by-step explanation:
a) (+) × (?) = (+)
From the given equation in the question, by dividing both side of the equation by (+), we have;
((+) × (?))/(+) = (+)/(+)
(?) = (+)/(+) = (+)
Therefore, we have;
(+) × (+) = (+)
(?) = (+)
b) (-) × (+) = ?
From the given equation in the question we apply the operation rules as follows;
(-) × (-) = (+)
(-) × (+) = (-)
Therefore;
(-) × (+) = ? = (-)
? = (-)
c) (?) × (-) = ?
From the rules of multiplication, we have;
(-) × (-) = (+)
(+) × (-) = (-)
Therefore, when (?) = (-), ? = +, from which we have;
(?) ≠ ?, which is an error
Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign
Therefore, the equation, (?) × (-) = ?, is undefined.
Variable, because its a letter<span />
