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Amiraneli [1.4K]

3 years ago

7

The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarded by a scale factor of 7 to create the actu

al garden. What is the area of the actual garden?

1 answer:

SVETLANKA909090 [29]3 years ago

8 0

Answer:

294 ft^2

Step-by-step explanation:

Multiply both values with 7 to find the real side lengths. The real values are 10.5 by 28. Multiply those to get the value 294 ft ^2

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Solve algebraically:

vichka [17]

<h3>Answer:</h3>

$a)\ x_1=-9,\ x_2=9\\\\b)\ x_1=1,\ x_2=5$

<h3>Step-by-step explanation:</h3>

<u>Given equations:</u>

$a)\ 2x^2 - 162 = 0\\\\b) -\dfrac{1}{2}(x-3)^2=-2$

A) 2x² - 162 = 0

Step 1: Divide both sides by 2.

<h3> $\\\implies \dfrac{2x^2 - 162}{2} = \dfrac{0}{2}\\\\\implies x^2-81=0\\\\\implies x^2=81$ </h3>

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies \sqrt{x^2}=\sqrt{81}\\\\\implies x=\pm\ 9$

Step 3: Separate into two cases.

$\implies x_1 = -9,\ x_2 =-9$

----------------------------------------------------------------------------------------------------------------

B) -1/2(x - 3)² = -2

Step 1: Multiply both sides by -2.

$\\\implies -2\left(-\dfrac{1}{2}(x-3)^2\right)=-2(-2)\\\\\implies (x-3)^2=4$

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies\sqrt{(x-3)^2}=\sqrt{4}\\\\\implies x-3=\pm\ 2$

Step 3: Separate into two cases and solve each one. $1)\ x-3=-2\implies x=-2+3\implies \boxed{x=1}\\\\2)\ x-3=2\implies x=2+3\implies \boxed{x=5}$

6 0

2 years ago

Read 2 more answers

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

Dennis_Churaev [7]

Answer:

$(x+4)^2 + (y-9)^2 = 25$

Step-by-step explanation:

To write the equation of a circle, use the formula $(x-h)^2+(y-k)^2 = r^2$ where the center of the circle is (h, k).

This means the equation is $(x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2$ .

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is $(x+4)^2 + (y-9)^2 = 25$

7 0

3 years ago

Find the product of 7xy and x to the 14th z

8090 [49]

Answer:

7x^15yz

Step-by-step explanation:

7(x^14x)y · z

7(x^14+1)y · z

7x^15yz

8 0

3 years ago

Felipe has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that wei

Ray Of Light [21]

Hello,

Let x be the number of 14-ounce cans

800-x be the number of bottles

Total weight=14*x+70*(800-x)=14x+56000-70x=56000-56x=56(1000-x)

5 0

3 years ago

What is the product of 710 and 323?<br><br> 135<br><br> 11315<br><br> 21730<br><br> 3715

Firlakuza [10]

Answer:

I think I answer is 21730 I'm not sure tho

3 0

2 years ago