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JulijaS [17]
3 years ago
14

What is the slope of a line that runs parallel to y = 2 x + 5?

Mathematics
2 answers:
blsea [12.9K]3 years ago
8 0
Parallel lines have equal gradients;
So,
y=2x+5
The gradient is 2
The parallel line also has a gradient of 2
Ganezh [65]3 years ago
7 0
The equation "y=mx+b"  is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)

In this case:
y=2x+5;
the slope "m" will be equato to : "2".

Answer: the slope is 2.
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How can the Pythagorean Identity be used to find sin θ, cos θ, or tan θ and the quadrant location of the angle?
Archy [21]

First lets see the pythagorean identities

sin^2 \Theta + cos^2 \Theta =1

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

sin^2 \Theta = 1-cos^2 \Theta => sin \theta = \pm \sqrt{1-cos^2 \Theta}

Now we need to check the sign of sin theta

First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.

So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .

5 0
3 years ago
Factor 64b-16c to identify the equivalent expressions.
cluponka [151]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Perimeter, Area And Volume
Maslowich

\large\huge\green{\sf{Answer:-}}

<h3>area of shaded figure= </h3>

<h2>area of whole rectangle</h2>

= lengthx breadth=15x30= 450 cm²

<h3>area of unshaded region= lengthx breadth= (30-8)x 15cm²= 22x 15cm²= 330cm²</h3>

<h3>are of shaded region</h3>

= area of whole rectangle -area of unshaded region= 450cm²-330cm²= 120cm²

therefore 120 is correct answer

6 0
2 years ago
How many groups of Two-thirds are in Three-fifths?
Vanyuwa [196]

Answer:

its D

Step-by-step explanation:

Did the test

8 0
3 years ago
Read 2 more answers
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amou
yuradex [85]

Question:

Diners frequently add a​ 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is ​$20.70? How much was the​ tip?

Answer:

Price of meal = $18

Tip price = $2.70

Step-by-step explanation:

Let the price of the meal be <em>y</em>;

Let the tip be <em>t</em>

<em></em>

<em>From the question;</em>

15% of <em>y </em>is the tip charge (<em>t</em>). i.e

t = 15%y

=> t = 0.15y          --------(i)

<em>The total amount charged is $20.70  (This means that the sum of the price of the meal and the tip is $20.70)</em>

=> y + t = 20.70            [substitute the value of t=0.15y from equation (i)]

=> y + 0.15y = 20.70

=> 1.15y = 20.70

=> y = \frac{20.70}{1.15}

=> y = $18

Therefore the price of the meal, y, is $18.

From equation (i),

t = 0.15y           [substitute the value of y = $18]

t = 0.15(18)

t = $2.70

Therefore the tip was $2.70

6 0
3 years ago
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