Find the measure of m

Rashid [163]

for gas a you do -21 - -8 which would equal -29 because if they are both negatives they add to each other but are still negative

4 0

3 years ago

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The interior angles of a hexegon are in the ratio 3:3:4:5:6:7. Find; (a) The size of the smallest angle. (b) The size of the lar

elena-s [515]

Answer:

a) 77.13

b) 179.97

Step-by-step explanation:

3x + 3x + 4x + 5x + 6x + 7x = (6 - 2) × 180

28x = 720

x = 720/28

x ≅ 25.71

3 × 25.71 = 77.13 = smallest angle

7 × 25.71 = 179.97 = largest angle

3 0

3 years ago

X/10 = 4/5<br>how do you solve <br>algebra<br>help plz

Viktor [21]

Answer:

Cross multiply 5x=40

Divide both sides by 5

x=8

3 0

3 years ago

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Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25

sergey [27]

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

<h3>What are the coordinates of vertex for a quadratic function?</h3>

For a quadratic function of the form $y = ax^2 + bx + c$ , its vertex form is obtained as:

$y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c$

For the form $y = a(x-h)^2 + k$ , the vertex has coordinates (h, k)

Thus, for the obtained equation $y = a(x+b/2a)^2 - a \times (b/2a)^2 + c$ , we get the coordinates of vertex as:

$h = -b/2a$ , $k = c - a\times(b/2a)^2$

Thus, the coordinates of vertex of $y = ax^2 + bx + c$ is:

$(h,k) = (-b/2a, c - a \times (b/2a)^2 )$

The missing steps of work of Jan'ai are:

Begin to write a function in factored form. $f(x) = a(x+1)(x-5)$
Substitute x = 0, y = f(x) = -25 to determine a. $-25 = a(0+1)(0-5)$
Simplify and solve to find a. $a=5$
Rewrite the function. $f(x) = 5(x+1)(x-5)$
Rewrite in standard form. $f(x) = 5x^2-20x-25$
Find the x-coordinate of the vertex. $x = -20/2(5) = -20/10; x = -2$
Find the y-coordinate of the vertex.

$y = 5x^2-20x-25$

$y = 5(-2)^2-20(-2)-25$

$y = 35$

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function $f(x) = 5x^2-20x-25$ ,

Comparing this to $f(x) = ax^2 + bx + c$ , we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

brainly.com/question/9912128

6 0

3 years ago

Two basketball players average the same number of points per game. What information would be most helpful in determining which p

Alenkasestr [34]

Answer:

The number of games each player has played

Step-by-step explanation:

Generally to measure variability, we use the range, the variance, the standard deviation and inter quartile ranges.

Given is that the averages are same, this implies that the mean of the two data sets are same. Variability can also be measured by the total number of points each player has scored. It can also be determined by the average number of points each player’s team scores per game.

So, correct answer is option B: the number of games each player has played.

7 0

3 years ago

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