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3 years ago

Please help. Trig: Laws of Cosines

Mathematics

1 answer:

Nonamiya [84]3 years ago

3 0

Answer:

11.4

Step-by-step explanation:

d² = 6² + 6² - 2(6)(6)cos145

d² = 130.9789472

d = 11.44460341

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Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).

Setler79 [48]

Answer:

$\Huge \boxed{3a+4}$

Step-by-step explanation:

The function is given.

$f(x)=3x+1$

To find : $f(a+1)$

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

$f(a+1)=3(a+1)+1$

Expand brackets.

$f(a+1)=3a+3+1$

Simplifying.

$f(a+1)=3a+4$

3 0

3 years ago

Explain the distance formula. Then use it to calculate the distance between A(1,1) and B (7,-7)

crimeas [40]

The distance formula is given by:

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }$

We are given two points A and B as

A(1,1) and

B(7,-7)

so we have ,

x1 = 1 , y1=1

x2= 7 and y2=-7

Plugging these in the formula we have:

$d=\sqrt{(7-1)^{2}+(-7-1)^{2} }$

d=√(36+64)

d=√100

d=10

Answer: The distance between A(1,1) and B(7,-7) is 10

4 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.

qwelly [4]

Answer:

The equation is $y=x-9$

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is: $y=mx+b$

Where m is the slope and b is the y-intercept value.

$y=1x-2$

Therefore the slope is

$m=1$

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:

$(y-y1)=m(x-x1)$

Where m is the slope and $(x1,y1)$ is a point the line passes through.

Substituting the information from the problem gives:

$(y- (-7)=1(x-2)$

$(y+7)=1(x-2)$

Or, we can solve for y to put the equation in slope-intercept form:

$y+7=x-2$

$y+7-7=x-2-7$

$y+0=x-9$

$y=x-9$

3 0

2 years ago

Read these sentences from the text.

chubhunter [2.5K]

Answer: Hi! I would say it is D because the other answers really don’t make sense. And the passages said that they were rated low for air quality.

Step-by-step explanation:

I hope this helps!

3 0

2 years ago

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b

Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books. Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

$\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.$

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0

2 years ago