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Fed [463]
3 years ago
7

Solve for x: 4x^2 + 2(2x + 2)^2 = 100

Mathematics
2 answers:
balu736 [363]3 years ago
8 0
Would it be 4(1)^2+2(2(1)+2)^2=100
anastassius [24]3 years ago
4 0
Let's solve your equation step-by-step.<span><span><span>4<span>x2</span></span>+<span>2<span><span>(<span><span>2x</span>+2</span>)</span>2</span></span></span>=100</span>Step 1: Simplify both sides of the equation.<span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>+8</span>=100</span>Step 2: Subtract 100 from both sides.<span><span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>+8</span>−100</span>=<span>100−100</span></span><span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>−92</span>=0</span>Step 3: Use quadratic formula with a=12, b=16, c=-92.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(16)</span></span>±<span>√<span><span><span>(16)</span>2</span>−<span><span>4<span>(12)</span></span><span>(<span>−92</span>)</span></span></span></span></span><span>2<span>(12)</span></span></span></span><span>x=<span><span><span>−16</span>±<span>√4672</span></span>24</span></span><span><span>x=<span><span><span>−2</span>3</span>+<span><span><span><span>13</span><span>√73</span></span><span> or </span></span>x</span></span></span>=<span><span><span>−2</span>3</span>+<span><span><span>−1</span>3</span><span>√73</span></span></span></span>Answer:<span><span>x=<span><span><span>−2</span>3</span>+<span><span><span><span>13</span><span>√73</span></span><span> or </span></span>x</span></span></span>=<span><span><span>−2</span>3</span>+<span><span><span>−1</span>3</span><span>√<span>73</span></span></span></span></span>
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Find the GCF of 2m^5 and 28m4<br> a. 28m^4<br> b. m^4<br> c. 2m^4<br> d. 2m
DanielleElmas [232]
I think D would make the most sense
7 0
3 years ago
Find x<br> 1. 180<br><br> 2. 45<br><br> 3. 110
kotykmax [81]

Answer:

the answer is 45

Step-by-step explanation:

every triangle has to add up to 180 so 25 + 45 is 70 and 70 + 110 is 180

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!!!!!!!!!!
navik [9.2K]

Answer:

Here, Exterior angles are ∠1, ∠2, ∠7 and ∠8

Interior angles are ∠3, ∠4, ∠5 and ∠6

Corresponding angles are ∠

(i) ∠1 and ∠5

(ii) ∠2 and ∠6

(iii) ∠4 and ∠8

(iv) ∠3 and ∠7

Axiom 4 If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.

Thus, (i) ∠1 = ∠5, (ii) ∠2 = ∠6, (iii) ∠4 = ∠8 and (iv) ∠3 = ∠7

Alternate Interior Angles: (i) ∠4 and ∠6 and (ii) ∠3 and ∠5

Alternate Exterior Angles: (i) ∠1 and ∠7 and (ii) ∠2 and ∠8

If a transversal intersects two parallel lines then each pair of alternate interior and exterior angles are equal.

Alternate Interior Angles: (i) ∠4 = ∠6 and (ii) ∠3 = ∠5

Alternate Exterior Angles: (i) ∠1 = ∠7 and (ii) ∠2 = ∠8

Interior angles on the same side of the transversal line are called the consecutive interior angles or allied angles or co-interior angles. They are as follows: (i) ∠4 and ∠5, and (ii) ∠3 and ∠6

5 0
3 years ago
One vegetable warehouse had 210 tons of potatoes, another one has 180 tons. 90 tons of potatoes were delivered to the first and
amid [387]

Answer:

6days

Step-by-step explanation

Let's make an equation from this expression.

From the number of potatoes at the first warehouse after x days is:

y = 210 + 90x .............. 1

From the number of potatoes at the second warehouse after x days is:

y = 180 + 120x .............. 2

First warehouse having 1.2times

y = ( 210 + 90x ) × 1.2

y = 252 +108x ................... 3

Now, equate 2 and 3

252 + 108x = 180 + 120x

252 - 180 = 120x - 108x

72 = 12x

x = 72/12

x = 6

Now, substitute 6 into equation 1 and 2

From 1 , y = 210 + 90x

y = 210 + 90 ×6

y = 210 + 540

y = 750

From equation 2

y = 180 + 120x

y = 180 + 120×6

y = 180 + 720

y = 900

Recall that equation 1 was to be 1.2times

From the answer in equation 1

y =750

y = 750 × 1.2

y = 900

Hence, the answer is correct.

7 0
3 years ago
Read 2 more answers
A marble is selected at random from a jar containing 4040 red​ marbles, 5050 yellow​ marbles, and 1010 green marbles. find the t
Elenna [48]
The answer will be total green plus total red divided by all existing marbles:
(1010 + 4040) / (1010 + 4040 + 5050) = 5050 / 10100 = 1/2 = 0.5

Answer: 0.5
7 0
4 years ago
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