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3 years ago

The quadratic has a vertex of (10,-9) and y-intercept of (0,-4). Write an equation in vertex form. PLZ EXPLAIN!!!!

1 answer:

3 0

Hello there!

Knowing that the vertex form of the quadratic equation is
y=a(x-h)^2+k where (h,k) represents the vertex, and the a value represents the leading coefficient of the quadratic equation in standard form, first plug in your known values (your given coordinate point can be plugged into the x and y values, and your given vertex can be plugged into h and k):
-4=a(0-10)^2-9

Because your a value is still unknown, you can use your given values in the equation to solve for a:
-4=a(-10)^2-9
-4=100a-9
100a=5
a=1/20

Now that you have your a value, you can plug it into your vertex form as well as your vertex values to get that your equation in vertex form is:
y=1/20(x-10)^2-9

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A rectangular park is 50 meters wide and 90 meters long. Give the length and width of another rectangular park that has the same

larisa [96]

Answer:

$l = 100\,m$ and $w = 40\,m$

Step-by-step explanation:

The formulas for the area and perimeter of a rectangle are, respectively:

$A = w\cdot l$

$p = 2\cdot (w + l)$

The perimeter is equal to:

$p = 2\cdot (50\,m + 90\,m)$

$p = 280\,m$

Area is likewise equal to:

$A = (50\,m)\cdot (90\,m)$

$A = 4500\,m^{2}$

Then, equations are now described:

$A = w \cdot l$

$140\,m = w + l$

Likewise, the equation of area is simplified afterwards:

$A = (140\,m - l)\cdot l$

$A = 140\cdot l - l^{2}$

The area is reduced inasmuch as length is increased. Let assume that length is 100 meters. The length and width are described herein:

$l = 100\,m$ and $w = 40\,m$

7 0

3 years ago

IO 80 14x + 2 The figure is a parallelogram. Solve for x. 'S 2 7

Vaselesa [24]

Answer:

x = 7

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

80 + 14x + 2 = 180

14x + 82 = 180 ( subtract 82 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

7 0

3 years ago

Simplify 8√6m+6√8mn/2√2mn

dexar [7]

Awnser is 86√m+3n28√m5 add me as brainliest pls

8 0

3 years ago

Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $20. At another store she can

TEA [102]

Answer:

$20.00+$0.79=$20.79

$20.79-$1.19=$19.60

5 0

3 years ago

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees

Levart [38]

Answer:

The probability the event that none of them are obese is 0.0352.

Step-by-step explanation:

<h3>Binomial distribution:</h3>

A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,

$P(X=x)=\left(\begin{array}{c}n\\x\end{array}\right) p^x(1-p)^{n-x}$ for x=0,1,2,...,n

=0 elsewhere.

where 0<p<1 and n an positive integer,

Given that,

The probability of the event that a child living in an urban area in the united state is obese is 20%.

n=Number of children = 15, p= 20%= 0.20.

The probability the event that none of them are obese is

=P(X=0)

$=\left(\begin{array}{c}15\\0\end{array}\right) (0.20)^0(1-0.20)^{15-0}$

=0.0352

7 0

4 years ago