The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?

Answer:

a) 3x + ky = 8

ky = 8 - 3x

x – 2ky = 5

x - 2(8 - 3x) = 5

x - 16 + 6x = 5

7x = 21

x = 3 (shown)

b) x-2ky = 5

sub x = 3, y = 1/2

3-2k(1/2) = 5

-2k = 2

k = -1

Answer:

4. SR= 17 (opposite angle of parallogram are equal)

Answer: x = 20

Step-by-step explanation:

Given

x - 19 = 1

Add both sides by 19

x - 19 + 19 = 1 + 19

x = 20

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1

Step-by-step explanation:

See pic for steps :)

Step-by-step explanation:

The Birch tree has a greater density.

Answer:

(0,8)

Step-by-step explanation:

To get the y-intercept put all x values equal to 0 (because we want to see where y lies on the graph when x is zero.

y=2^0+3

y=2^3

y=8

The y-intercept is (0,8)

As for the rest of the answers.....

1)A) 2[tex]\sqrt{12}[/tex]-5[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]-5[tex]\sqrt{3}[/tex] so the final answer is -[tex]\sqrt{3}[/tex]

1B) the problem is (3-[tex]\sqrt{7}[/tex])(3+[tex]\sqrt{7}[/tex]) a quick formula to help you solve this type of problem is (a-b)(a+b)= a^2-b^2 so you transform the question to 3^2-[tex]\sqrt{7}[/tex] ^2

to get 9-7 which is 3 therefore the final answer is 3

2) when you transform a function from y=x^2-3 to y=x^2+1 the graph moves 4 units up. So the final answer is b)4 units up

Question 3a and 3b are correct

Answer:

3x - 14 = x + 30

[ Opposite angles of a ||gm are equal ]

=> 3x - x = 30+14

=> 2x = 44

=> x = 22

Therefore , option 4 is correct

hope that helps ✌

Answer:

A.

–2; –250; –156,250

Step-by-step explanation:

A(1) = -2 x 5(1) - 1 = -11

A(4) = -2 x 5(4) -1 = -41

A(8) = -2 x 5(8) -1 = -81

...............................................................................................................................................

an=a1(r)^(n-1)

a1=first term

r=common ratio

n=which term

so

an=-2(5)^(n-1)

first term is -2

4th term is subsitue 4 for n

a4=-2(5)^(4-1)

a4=-2(5)^3

a4=-2(125)

a4=-250

4th term is -250

--------------------------

8th term

a8=-2(5)^(8-1)

a8=-2(5)^7

a8=-2(78125)

a8=-156250

8th term is -156250

...............................................................................................................................................

A(1)=2*5^1-1=2*5^0=2*1=2

a(4)=2*5^4-1=2*5^3=2*125=250  

a(8)=2*5^8-1=2*5^7=2*78,125=156,250

...............................................................................................................................................

2, 250, 156, 250

You get a pie chart to do percentages just so you dont cheat you still can do work y'know

Answer:

Find the GCD (or HCF) of numerator and denominator

GCD of 63 and 9 is 9

Divide both the numerator and denominator by the GCD

63 ÷ 9

9 ÷ 9

Reduced fraction:  

7/1

Therefore, 63/9 simplified to lowest terms is 7/1.

Step-by-step explanation:

Answer:

(-2,4] and [7,α)

Step-by-step explanation:

the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..

The domain of the given function is (-2,4] U [7, ∞), which is the correct option (B).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = x²+1 if (-2,0]

This the sub-function define between the interval (-2,0].

f(x) = -1 if (0, 4]

This the sub-function define between the interval (0, 4].

f(x) = -(x-7)² if [7, ∞)

This the sub-function define between the interval [7, ∞).

Thus, the domain of the given function is (-2,4] U [7, ∞).

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Answer:

Step-by-step explanation:

This requires some serious work before we even begin. First off, we will convert the km to meters:

32 km = .032 m

46 km = .046 m

And then we have to deal with the angle given as 40 degrees west of north. An angle 40 degrees west of north "starts" at the north end of the compass and moves towards the west (towards the left in a counterclockwise manner) 40 degrees. That means that the angle that is made with the negative x axis is a 50 degree angle. BUT the way angles are measured in standard form are from the positive x-axis, therefore:

40 degrees west of north = 50 degrees with the negative x axis = 130 degrees with the positive x axis. 130 is the angle measure we use. Phew! Now we're ready to start. Adding vectors requires us to use the x and y components of vectors in order to add them.

[tex]A_x=.032cos90.0[/tex] so

[tex]A_x=0[/tex] (the 90 degrees comes from "due north")

[tex]B_x=.046cos130[/tex] so

[tex]B_x=-.030[/tex] and if we add those to get the x component of the resultant vector, C:

[tex]C_x=-.030[/tex]   And onto the y components:

[tex]A_y=.032sin90.0[/tex] so

[tex]A_y=.032[/tex]

[tex]B_y=.046sin130[/tex] so

[tex]B_y=.035[/tex] and if we add those together to get the y component of the resultant vector, C:

[tex]C_y=.067[/tex]  Note that since [tex]C_x[/tex] is negative and [tex]C_y[/tex] is positive, the resultant angle (the direction) will put us into QII.

We find the magnitude of C:

[tex]C_{mag}=\sqrt{(-.030)^2+(.067)^2}[/tex]

We will round this after we take the square root to the thousandths place.

[tex]C_{mag}=.073m[/tex] and now for the angle:

[tex]\theta=tan^{-1}(\frac{.067}{-.030})[/tex] which gives us an angle measure of -67, but since we are in QII, we add 180 to that to get that, in sum:

The magnitude of the resultant vector is .073 m at 113°

Answer:

either 5 or 6

Step-by-step explanation:

I can't have a direct answer because you didn't get all of the histogram in there, but from what I can conclude from just this there's definitely either 5 or 6.

Answer:

2¼ mph

Step-by-step explanation:

It takes ⅓hour to walk to the library.

⅓ •3 = 1 hour

¾ • 3 = 9/4 = 2¼ miles/hour

56/11=5.09090909090.......

50/9=5.5555........

7/9=0.777777.......

Answer:

A(9,3)

B(9,0)

C(5,1)

Step-by-step explanation:

The measure of the angle C is 120°.

Given that the parallelogram ABCD, we need to find the measure of the angle C,

We know that in a parallelogram the opposite angles are equal and the adjacent angles are supplementary,

So,

∠D = ∠B

6x + 6 = 10x - 30

4x = 36

x = 9

So, ∠D = ∠B = 60°

So,

∠C + ∠D = 180°

∠C = 180° - 60°

∠C = 120°

Hence the measure of the angle C is 120°.

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Answer:

10

Step-by-step explanation:

i looked it up to be sure but if wrong very sorry.

Answer:

k = 11

Step-by-step explanation:

What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x  = - 1

f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5

f(-1) = -2 - k(1) + 8 + 5 = 0

-k*(1) + 11 = 0

-k = -11

k = 11

Answer:

No.

Step-by-step explanation:

No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.

Answer:

C. 4(x + y)

Step-by-step explanation:

Use the distributive property.

4(x + y) = 4x + 4y

Answer:

C. 4(x + y)

Step-by-step explanation:

If you multiply this answer out (4 times x and 4 times y) it is the equivalent to 4x + 4y.

Answer:

11

Step-by-step explanation:

because you have to add 5+6=11

Answer:

Answer B

Step-by-step explanation:

therw is one full one and one with five

Answer:

x^4+x^2+5

Step-by-step explanation:

f(x) = x^2 -3x+7

g(x) = x^2+2

f(g(x) =  Place g(x) in for x in the function f(x)

       = (x^2+2)^2 -3(x^2+2) +7

FOIL and Distribute

       = x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7

Combine like terms

    = x^4+x^2+5

  [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

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Answer:

At most, Liam can only buy lunch for 6 people.

Step-by-step explanation:

It isn't going to be a decimal answer because there can't be half of a person

All you have to do is divide 50 by 8 and round down because you don't want to spend more than 50 dollars.

Writing it mathematically, it would be:

p [tex]\leq[/tex] 6

Answer:

4(g + p).

Step-by-step explanation:

The sum of g and p is g + p.

Next we multiply this sum by 4.

We need to place the g + p in parentheses to do this.

Answer:

6 minutes

Step-by-step explanation:

20 miles jogs at 1 hour, so for 2 miles,

2/20

= 1/10 hours

= 1/10×60

= 6 minutes

Answered by GAUTHMATH