Answer:
<h3> y = 2x² - 4x - 6</h3>
Step-by-step explanation:
y + 4x + 6 = 2x²
-4x -4x
y + 6 = 2x² - 4x
-6 -6
y = 2x² - 4x - 6
<h3>
<u>Explanation</u><u>:</u></h3>
Consider ABCD is a rhombus
We know that
All sides are equal in rhombus
=> AB=BC=CD=DA
and AC and BD are digonals
Given that
Diagonal and the side of the rhombus are equal.
=> AB = BC = CD = DA = AC
Diagonal AC divides the rhombus into two triangles .
They are ∆ BAC and ∆ DAC
In triangle BAC
BA=BC=AC,(Given)
=> < BAC=<ABC= < ACB =60°………(1)
Similarly in ∆DAC ,
DA=DC=AC
=><DAC=<ACD=<ADC=60°……….(2)
From (1) and (2)
<A=<BAC+< DAC=60°+60°=120°
and
< B= < ABC = 60°.
and
<C=<ACB+<ACD=60°+60°=120°
and
< D =<ADC=60°
Therefore, <A = 120° , <B = 60° ,<C = 120° ,<D = 60°
<u>Answer:-</u>
The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°
<u>Used formulae:-</u>
all sides in a rhombus are equal
<span>2t-7-5t=11
Start by combing like terms:
2-5t=-3t
Now we have:
-3t-7=11
Add 7 to both sides
-3t=18
To isolate t we divide both sides by -3
Final answer:
t=-6 </span>
Its 2 8/15 Conversion a mixed number 1 2
5
to a improper fraction: 1 2/5 = 1 2
5
= 1 · 5 + 2
5
= 5 + 2
5
= 7
5
To find new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5
5
= 5
5
b) Add the answer from previous step 5 to the numerator 2. New numerator is 5 + 2 = 7
c) Write previous answer (new numerator 7) over the denominator 5.
One and two fifths is seven fifths
Conversion a mixed number -1 2
15
to a improper fraction: -1 2/15 = -1 2
15
= -1 · 15 + (-2)
15
= -15 + (-2)
15
= -17
15
To find new numerator:
a) Multiply the whole number -1 by the denominator 15. Whole number -1 equally -1 * 15
15
= -15
15
b) Add the answer from previous step -15 to the numerator 2. New numerator is -15 + 2 = -13
c) Write previous answer (new numerator -13) over the denominator 15.
Minus one and two fifteenths is minus thirteen fifteenth
Subtract: 7
5
- (-17
15
) = 7 · 3
5 · 3
- (-17)
15
= 21
15
- (-17
15
) = 21 - (-17)
15
= 38
15
The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 15) = 15. The fraction result cannot be further simplified by cancelling.
In words - seven fifths minus minus seventeen fifteenth = thirty-eight fifteenths.
Hello,
f(x)=4(x+3)-5=4x+12-5=4x+7
y=4x+7==>c=(y-7)/4
f^(-1)(x)=(x-7)/4
f^(-1)( 3)=(3-7)/4=-4/4=-1
Answer D
