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2 years ago

Simplify to create an equivalent expression 5+7(8r-2)

Mathematics

2 answers:

mr Goodwill [35]2 years ago

5 0

5+56r-14=56r-9. The correct answer will be D.56r-9.

gulaghasi [49]2 years ago

4 0

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

$5+7(8r-2)$

Using distributive property, the above expression can be written as

$5+7(8r)+7(-2)$ $[\because a(b+c)=ab+ac]$

$5+56r-14$

On combining like terms we get,

$56r+(5-14)$

$56r+(-9)$

$56r-9$

The expression 56r-9 is equivalent to the given expression.

Therefore the correct option is D.

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The graph of a quadratic equation passes through

Katarina [22]

Answer:

Step-by-step explanation:

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2 years ago

Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

$\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}$

6 0

2 years ago

Write an equation to solve the following. Show all your work, including the steps for solving the equation and checking your ans

SpyIntel [72]

Equation
-4x + 16 = -116

solve for x
-4x + 16 = -116

subtract 16 to both sides
-4x + 16 - 16 = -116 - 16

simplify
-4x = -132

divide -4 to both sides
-4x/-4 = -132/-4

simplify
x = 33

answer: the number is 33

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3 years ago

In ∆ABC, m∠B=α. Find the measure of the angle, in degrees, between the altitudes dropped from the vertices A and C

Sergio [31]

The expression to find the value of the final angle of the triangle will be 180° - 40° - α.

<h3>How to solve the triangle?</h3>

Your information is incomplete as the triangle isn't attached. Therefore, an overview will be given.

Firstly, it's important to know that the total angle in a triangle is 180°. A triangle has three sides. In this case, angle B is given as α.

Let's assume that another angle is given as 40°. Therefore, the expression to find the value of the final angle will be 180° - 40° - α

Learn more about triangles on:

brainly.com/question/17335144

7 0

1 year ago

If the zeroes of a quadratic function, G, are 4 and -2, what is the equation of the axis of symmetry of G

MAVERICK [17]

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Answer:

x = 1

Step-by-step explanation:

The axis of symmetry is the vertical line halfway between the zeros.

x = (4 -2)/2

x = 1 . . . equation of axis of symmetry

4 0

3 years ago