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3 years ago

A triangle with an area of 37 units? is dilated by a scale factor of . Find the area of

Mathematics

1 answer:

sergeinik [125]3 years ago

7 0

Answer:

58 units

Step-by-step explanation:

I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)

Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.

Finally, I solve for the area of the triangle:

1/2(46.25 x 2.5) ≈ 58 units (rounded to the nearest whole number)

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Does anyone know the answer to these two problems?

Nady [450]

Answer:

8) -8, -9

9) 4, $\frac{1}{2}$

Step-by-step explanation:

8) x² + 12x + 27

Solutions of a polynomial means the values of $x$ such that the polynomial becomes zero. $i.e., y = 0$ .

We use the following formula to determine the solutions of a quadratic equation of the form: $ax^2 + bx + c = 0$

$\implies x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this equation, $a = 1; b = 12; c = 27$

Substituting in the formula, we have:

$x = \frac{-12 \pm \sqrt{144 - 108}}{2}$

$\implies x = \frac{-12 \pm 6}{2}$

Taking 2 common outside we get:

$x = - 6 \pm 3$

Therefore, we get two solutions viz, x = -3, -9.

9) 2x² - 9x + 4 = y

X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.

Solving the equation using the formula above, we get:

$x = \frac{-(-9) \pm \sqrt{81 - 32}}{2(2)}$

$\implies x = \frac{9 \pm 7}{4}$

The values of x = 4, $\frac{1}{2}$ .

Hence, the answer.

8 0

3 years ago

Jimmy made 16 quarts of lemon juice. How many liters of lemon juice did Jimmy make? 1 gallon = 4 quarts 1 gallon = 3.785 liters

nexus9112 [7]

The answer is 15.14

1 gallon = 4 quarts
1 gallon = 3.785 liters

16 quarts = 4 gallons
4 x 3.785 = 15.14

3 0

3 years ago

Read 2 more answers

Graph the function f(x)=−14x−2. Use the line tool and select two points to graph.

Akimi4 [234]

Answer:

You should do this on your own but if you consider the way I graph it, the slope should be going downwards and in the middle of the graph, the y-intercept should be two units down. Each unit for the x line should be 14 units apart as stated in the function.

Step-by-step explanation:

Hopefully this helps ^^

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3 years ago

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What is the inverse answer for h(x)=x²+4?

lutik1710 [3]

Answer: 1.0/5. 7.

Step-by-step explanation:

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3 years ago

What is 5 plus 6 plus 7 plus 8?