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Mrac [35]
3 years ago
10

The area of a square backyard is

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

100 meters

Step-by-step explanation:

Since the backyard is a square, each side is the same length and there are 4 sides. So, 400÷4=100

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A community is building a square park with sides that measure 145 meters. To separate the picnic area from the play area, the pa
Natasha_Volkova [10]
You can solve this problem by using the pythagorean theorem.
{a }^{2}  +  {b}^{2}  =  {c}^{2}
Where the a- and b-values represent the sides of the triangle. Since the park is a sqaure, each side is equal. This means that both the a-value and the b-value are the same. Now, you must find the c-value.

145^2 + 145^2 = c^2

21,025 + 21,025 = c^2

42,050 = c^2 *now square root each side of the equation.*

205.06 = c

The length of the diagonal line is 205 meters.
4 0
3 years ago
Read 2 more answers
Add the polynomials. (5x2−8x+8)+(6x3−5x) The sum is_____. ​(Simplify answer.)
anastassius [24]
The simplified answer is <span>(5x2−8x+8)+(6x3−5x) If you need the steps, I recommend you use Cymath.com it's super easy and great for math!</span>
4 0
3 years ago
Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?
Sliva [168]

Answer:

y-18=-2(x+2)^2

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

y-k=a(x-h)^2

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

y-18=a(x+2)^2

Now substitute the point (-5,0) and find the value of a:

0-18=a(-5+2)^2

Operating:

-18=a(-3)^2

-18=9a

Solving for a:

a = -18 / 9

a = -2

Thus, the equation of the quadratic function is:

\mathbf{y-18=-2(x+2)^2}

7 0
3 years ago
Create an expression equivalent to 2 (3x =1) 3x+4 using the least number of terms
Mariana [72]

Answer:

18x^2 + 18x -8

Step-by-step explanation:

To use the least number of terms, simplify the expression. To simplify, distribute into the parenthesis and combine like terms.

2(3x-1)(3x+4) = 2(9x^2-3x+12x-4) = 2(9x^2+9x-4) = 18x^2 + 18x -8

6 0
3 years ago
Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensio
galben [10]
Hey! 
So when there is a scale factor you would always multiply it with the original dimensions, even if it wasn't a fraction.
so 4 time 1/5 is 0.8
and 6 times 1/5 is 1.2
so the dimensions of the model bed is 0.8 foot by 1.2 feet
Your answer is A!
Hope this helps!
4 0
3 years ago
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