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Y_Kistochka [10]
3 years ago
10

Given the following perfect square trinomial, fill in the missing term. x2 − 16x + ____

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

x^{2}-16x+64

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following perfect square trinomial given in the problem:

x^{2}-16+

2. To fill the missing term, you must divide the coefficient -16 by 2 and then you must square it, as following:

(\frac{-16}{2})^{2}=(-8)^{2}=64

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Will award points- im currently using cos, sin and tan
MAVERICK [17]

Answer:

w = 9.82

x = 66.73

Step-by-step explanation:

By applying tangent rule in triangle ABD,

tan(81°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

6.31 = \frac{62}{w}

w = \frac{62}{6.31}

w = 9.82

Similarly,

tan(39°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

0.81 = \frac{62}{(x+w)}

0.81 = \frac{62}{9.83+x}

9.82 + x = \frac{62}{0.81}

x = 76.56 - 9.82

x = 66.74

3 0
3 years ago
A line has a slope of 2/3 and a y-intercept of −5.
aniked [119]
The best and most correct answers among the choices provided by the question are:

<span>▢A. -2x+3y=-15
▢B. y=2/3x-5</span>

y = mx + b. where m is the slope<span> of the line and b is the y-</span>intercept<span> of the line, or the y-coordinate of the point at which the line crosses the y-axis. To write an equation in </span>slope-intercept form<span>, given a graph of that equation, pick two points on the line and use them to find the </span>slope<span>.</span>

I hope my answer has come to your help. God bless and have a nice day ahead!
6 0
3 years ago
Out of the last 50 guests, only one of them break coupon for free admission to the carnival. if there are 1500 guests expected t
ryzh [129]
1/50 = x/1500

Cross multiply: 

50x = 1500(1)
50x = 1500
x = 1500/50
x = 30 people

Therefore, the answer is b as 30 people will receive free admissions. 
6 0
3 years ago
An artist has 8 gallon-sized buckets of paint. The artist uses the paint from the buckets to fill pint-sized cans. What is the g
Dimas [21]

Answer:

64 cans

Step-by-step explanation:

Given

Gallon = 8

Required

Determine the equivalent in pints

The standard unit of conversion;

1 gallon = 8 pints

Multiply both sides by 8

8 * 1\ gallon = 8 * 8\ pints

8\ gallons = 64\ pints

<em>Hence, the artist will need 64 cans</em>

7 0
3 years ago
At how many points do the graphs of the equations y = 2x + 5 and<br> y = x² - 2x- 7 intersect?
pychu [463]

Answer: \Large\boxed{\text{Two Points}}

Step-by-step explanation:

<u>Given a system of equation</u>

1)~y=2x+5

2)~y=x^2-2x-7

<u>Substitute the 2) equation for the y value of the 1) equation</u>

2x+5=x^2-2x-7

<u>Subtract [ 2x + 5 ] on both sides</u>

2x+5-(2x+5)=x^2-2x-7-(2x+5)

x^2-2x-7-2x-5=0

x^2-4x-12=0

<u>Cross multiply the equation</u>

x~~~~~~~~~~~~~~~-6

x~~~~~~~~~~~~~~~2

(x-6)(x+2)=0

x=6~\text{or}~x=-2

Since there are 2 x values, this represents that there are \Large\boxed{\text{Two}} intersecting points

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

<em>The following is EXTRA information for the question if you need to find the points of intersection</em>

<u>Substitute the x values into one of the equations to find the y value</u>

\text{When}~x=6:

y=2x+5

y=2(6)+5

y=12+5

y=17

\large\boxed{(6,17)}

\text{When}~x=-2:

y=2x+5

y=2(-2)+5

y=-4+5

y=1

\large\boxed{(2,~1)}

<u>Graph the equations to check the solutions</u>

Please refer to the attachment below for the graph

3 0
2 years ago
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