For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form. a = 8, b = 3

Answer:

Step-by-step explanation:

6-2x+5+4x

=11+2x    (this is a required equation)

Diya subtracted -2x from 6 and added 5 and 4x but she can't add or subtract because they are unlike terms.

Perpendiculat Line is when both slopes of equation multiplying each others and equal to -1.

[tex] \large \boxed{m_1m_2 = - 1}[/tex]

For an easier way to understand, a perpendicular line has a negative reciprocal slope. For example if we are given the equation of y = 2x then the equation that is perpendicular to y = 2x would be y = (-1/2)x.

From both equations. We can either arrange in slope-intercepy form or use the slope formula which is m = -A/B when the equation is in Ax+By+C = 0 or Ax+By = C.

[tex] \large{ \begin{cases} 2x - 5y = - 3 \\ 5x + 2y = 6 \end{cases}}[/tex]

To find if these two lines are perpendicular to each others. Use the slope formula of -A/B.

[tex] \large{ \begin{cases} m_1 = - \frac{2}{ - 5} \\ m_2 = - \frac{5}{2} \end{cases}} \\ \large{ \begin{cases} m_1 = \frac{2}{ 5} \\ m_2 = - \frac{5}{2} \end{cases}}[/tex]

Now recall that it is perpendicular when one of them is negative reciprocal of one another (-5/2 is negative reciprocal of -(-2/5) = 2/5 and 2/5 is negative reciprocal of -5/2).

Or in definition of perpendicular lines, both slopes multiply and must equal to -1.

[tex] \large{( \frac{2}{5} )( - \frac{5}{2} ) = - 1} \\ \large{ - 1 = - 1}[/tex]

Thus the equation is true which makes both lines perpendicular to each others.

Answer

Let me know if you have any doubts!

Answer:

The ordered pair that best describes the location of G' is (-6,2).

Step-by-step explanation:

Reflecting a point over the y-axis:

When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:

(x,y) -> (-x,y).

Point G is located at (6, 2)

When reflected over the y-axis:

G'(-6,2).

The ordered pair that best describes the location of G' is (-6,2).

Answer:

[tex]16^{2} - 9[/tex]

Step-by-step explanation:

[tex](4x + 3)(4x - 3)[/tex]

Step 1: Multiply [tex]4x[/tex] to [tex](4x - 3)[/tex], you get, [tex]16x^2 -12x[/tex]

Step 2: Multiply [tex]3[/tex] to [tex](4x - 3)[/tex], you get, [tex]12x - 9[/tex]

[tex]16x^2 - 12x +12x - 9[/tex]

Step 3: add or subtract the numbers with the same variables together

[tex]16x^2 - 9[/tex] is your final answer

The expression simplified after the multiplication is 16x² - 9.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression. The multiplication of (a+b) and (a-b) is given by:

(a+b)(a-b) = a² - b².

The given expression is (4x + 3)(4x-3).

Simplify the expression:
(4x + 3)(4x-3)

= 16x² - 9

Hence, the expression simplified after the multiplication is 16x² - 9.

Learn more about algebraic expressions here:

https://brainly.com/question/953809

#SPJ2

Answer:

1. c) Add/ Subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

Answer two questions about Equations A and B:

A. 3x – 1= 7

B. Зx = 8

1) To get Equation B from Equation A we need to take the following steps

A. 3x – 1 = 7

We add one to both sides

3x - 1 + 1 = 7 + 1

3x - 0 = 8

3x = 8

Option c is the correct option.

2) We are given Equations:

A. 3x – 1= 7

B. Зx = 8

3x - 1 = 7 = 3x = 8

3x = 7 + 1 = 3x = 8

3x = 8 = 3x = 8

Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.

Answer:

Answer: The vertex is x=-7/6

*The graph is below*

Hope that this helps!

Answer: She didn't make an error.

Step-by-step explanation:

She just didn't I got it right.

Answer:

answer is D

Step-by-step explanation:

Answer:

the difference in the coordinate points is (7, 5)

Step-by-step explanation:

Given;

first coordinate point, (x₁, y₁) = (-2, 3)

second coordinate point, (x₂, y₂) = (5, 8)

The difference in the coordinate points is calculated as follows;

Δ(x, y) = (x₂ - x₁,  y₂ - y₁)

          = (5 - -2,  8 - 3)

         = (7, 5)

Therefore, the difference in the coordinate points is (7, 5)

Answer:

8

Step-by-step explanation:

If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.

Hope that this helps!

From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.

Coordinate, is represented as the values on the x-axis and the y-axis of the graph.

Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
                                                    = 8

Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

Answer:

1/4x is basically x divided by 4/multiplied by 1/4

this can be applied in examples such as:

1/4(2) = 0.5

etc.

Step-by-step explanation:

i hope this helped, if not, please leave a comment specifically requiring what exactly you are stuck with.

Answer:

 1/8x+1/8x

Step-by-step explanation:

Answer:

x = 17, x = 112, x = 100

Step-by-step explanation:

First problem:

From what I can see, there is a 90º angle present. When you subtract 73 from 90, you get 17, so x is 17.

Second problem:

x and 112 are vertical angles. "Vertical angle theorem, no matter how you throw your skewers or pencils so that they cross, or how two intersecting lines cross, vertical angles will always be congruent, or equal to each other." - https://tutors.com/math-tutors/geometry-help/vertical-angles

Third problem:

The base is a straight, horizontal line, which means that it is 180º. Subtract 80 from 180, you get 100. Therefore, x is 100.

Answer:

3/4x + 12 =48

3/4x=36

x=48

Answer:

[tex]C'(t) = \frac{t-3.95}{0.95}[/tex]

Step-by-step explanation:

Given

[tex]C=0.95t+3.95[/tex]

Required

The inverse function

[tex]C=0.95t+3.95[/tex]

Swap C and t

[tex]t=0.95C+3.95[/tex]

Make C the subject

[tex]0.95C = t - 3.95[/tex]

Divide by 0.95

[tex]C = \frac{t}{0.95} - \frac{3.95}{0.95}[/tex]

Hence, the inverse function is:

[tex]C'(t) = \frac{t}{0.95} - \frac{3.95}{0.95}[/tex]

or

[tex]C'(t) = \frac{t-3.95}{0.95}[/tex]

Answer:

hope it is helpful to you

this is another answer

sorry for bad handwriting

actually its my sista handwriting

Answer:

10

Step-by-step explanation:

medium is the number in the middle when all numbers are arranged in ascending order.

Answer:

10

Step-by-step explanation:

first arrange the data from ascending to descending order.

data = 6,8,10,12,14

median = N +1/2  (N means no of data)

=5 + 1/2

=6/2

=3 th term

=10

therefore median is 10

point to remember : if u are are to find the first quartile , median , or third quartile then u should arrange the data from ascending to descending order .

answer:

(-1,8]

explanation I just did something close to this

The value of y will be 75°. The correct option is C.

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that the two parallel lines are DE and XY. The angle y will be calculated as,

y = 180 - 105

y = 75°

Hence, the measure of the angle y is 75°

To know more about lines and angles follow

https://brainly.com/question/28769265

#SPJ2

gj,xDGIDYOry

oFYORYODYIYDOCYODYODYODOYYDSOYSITTIsst.isti.ti.s.sitsi.ttsliyd.i.odygis.x.ittxi.x,jgxfj,.jtxtis.x.tii.ts.kdttic.

Answer:

24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is

the answer is option e. *answer needs to be 20 characters long this should do :)

Answer:

QT = 16

Step-by-step explanation:

ΔQRS ~ ΔQRT

In similar triangles, corresponding angles are in same ratio.

[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]

Cross multiply,

QT * 25 = 20 * 20

[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]

Answer:

It takes the rock approximately 4.96 seconds to reach the ground

Step-by-step explanation:

The given parameters of the rock thrown down from the hot air balloon are;

The (initial) downward velocity with which the rock was thrown down, u = 20 feet/second

The height of the balloon when the rock was thrown down, h = 220 feet

According to the kinetic equation of motion, we have;

h = u·t + (1/2)·g·t²

Where;

h = The height of the rock when it was thrown = 220 ft.

u = The initial velocity of the rock = 20 ft./s

g = The acceleration due to gravity acting on the rock = 9.81 m/s²

t = How long it takes the rock to reach the ground

Plugging in the values gives;

220 = 20·t + (1/2)×9.81×t²

4.905·t² + 20·t - 220 = 0

Therefore;

t = (-20 ± √(20² - 4×4.905×(-220)))/(2 × 4.905)

t ≈ 4.96, or t ≈ -9.04

Therefore, the time it takes the rock to reach the ground, t ≈ 4.96 seconds.

Answer:

B

Step-by-step explanation:

√256=16

√289=17

Answer:

b.√256 and √289 . play basketball

Answer:

-x+8=6

Step-by-step explanation:

x+5-1(2x)+(-1)(-3)=6

x+5-1-2x+3=6

ans (-x+8=6)

x+8

Answer:  C) Trapezoid

Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.

The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the coordinates of the figure be represented as ABCD

Now , the vertices of the figure is

A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )

On plotting the coordinates in the graph , we get a trapezoid with

The longer base = BC

The shorter base = AD

So , the figure is a trapezoid

Hence , the vertices represents a trapezoid

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ7

Answer:

24 hours

Step-by-step explanation:

160 x 18 = 2880

2880/120 = 24

Answer:

J

Step-by-step explanation:

Using the cofunction identity

cosθ = sin([tex]\frac{\pi }{2}[/tex] - θ )

Then

[tex]\frac{1}{sin(\frac{\pi }{2}-0) }[/tex]

= [tex]\frac{1}{cos0}[/tex]

= [tex]\frac{1}{0.8}[/tex]

= 1.25 → J

The value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180 degrees and 270 degrees.

Given

1/cosθ = 0.8

1/sin([tex]\frac{\pi }{2}[/tex] - θ) =?

By using quadrants in trigonometry

we know that sin([tex]\frac{\pi }{2}[/tex] - θ) = cosθ

= 1/sin([tex]\frac{\pi }{2}[/tex] - θ)

= 1/cosθ

= 1/0.8

= 1.25

1/sin([tex]\frac{\pi }{2}[/tex] - θ) = 1.25

Hence, the value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.

Learn more about four quadrants of trigonometry here

https://brainly.com/question/21864197

#SPJ2