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anygoal [31]
3 years ago
12

Find the slope of each line 5x-y=-7

Mathematics
1 answer:
Natalija [7]3 years ago
5 0
Y=5x+7

5x-y=-7
-5x    -5x
-------------
-y=-5x-7
---   ------
-1    -1
y=5x+7
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Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
Have a look of the drawing... What is "d" value? I have tried many methods but don't find how to solve... Pleaseeee
Phoenix [80]
I´d say "d" is the distance from the eye to the wall. 
Now substracting 1.2-1 you´ll get the distance of the wall of the smallest triangle = 0.2 And you do 1.5-0.2= 0.3 that´s the distance of the wall of the other triangle. Then you solve everything with Pitagoras theorem. You have 2 rectangle triangles.
B+alfa=45°
tan^-1(0.2/d)=B
tan^-1(1.3/d)=alfa
THEN:
tan^-1(0.2/d)+tan^-1(1.3/d)=45°
 Now you have 3 ecs and 3 variables.
alfa,B and "d"

3 0
3 years ago
Read 2 more answers
I know the answers but I don't know how to solve it
lutik1710 [3]
You did it right. 1.35 + 7.00 and you have the right answer. is that what you mean?
4 0
3 years ago
Problem page the sum of two numbers is 47 . the larger number is 17 more than the smaller number. what are the numbers?
user100 [1]
Smaller number = X
Larger Number = X + 17

47 = X + (X+17)
47 = 2x + 17
47 - 17 = 2x
30 = 2x
X = 15
3 0
3 years ago
We want to factor the following expression:
S_A_V [24]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

9x^6 + 6x^3y + y^2 \\  \\  =  {(3 {x}^{3} )}^{2}  + 2.(3x^3).y +( y)^2  \\  \\  =  \bigg({3 {x}^{3} } + y \bigg)^{2} \\  \\   = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\  \\ \\  \\

4 0
2 years ago
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