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2 years ago

Can anyone help me I did it I'm just checking :)

Mathematics

1 answer:

lukranit [14]2 years ago

8 0

Answer:

Step-by-step explanation:

2x + 5 = 3x - 7

5 + 7 = 3x - 2x

12 = x

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The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr

malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

$b = 6 + 2h$

Substituting we have:

$88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0$

We divide between 2 on both sides:

$h ^ 2 + 3h-88 = 0$

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

$(h + 11) (h-8) = 0$

We have two roots:

$h = -11\\h = 8$

We choose the positive value.

Thus, the base of the triangle is: $b = 6 + 2 (8) = 22$

Answer:

The base of the triangle is 22 units.

5 0

3 years ago

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Solve the equation for x by graphing.<br><br> 2^x - 4 = -4^x + 4

lapo4ka [179]

X~1.25. All you have to do is graph the function and see where the graph crosses the x-axis.

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2 years ago

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The number of new cars purchased in a city can be modeled by the equation C=20t to the 2nd power, where C is the number of new c

Allisa [31]

Answer:

$1998 + 5\sqrt{30}$

Step-by-step explanation:

Set up the equation:

Since C(t) gives the number of cars purchased in the t-th year after 1998, then make the number of cars equal to 15 000 and solve for t - the year:

20t^2 = 15000

t^2 = 750

t = $\sqrt{750} = \sqrt{10} \cdot \sqrt{25} \cdot \sqrt{3} = 5\sqrt{30}$

The year will be simply 1998 + 5 \sqrt{30}

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2 years ago

Simplify: x^d • x ^18

natta225 [31]

Answer:

x^(d+18)

Step-by-step explanation:

using the law of indices

you must add the powers

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2 years ago

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Decimal 0.003 is 1/10 of

Grace [21]

Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.

So 0.03 is your answer

<span>Hope I Helped!!!</span>

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2 years ago