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antiseptic1488 [7]
3 years ago
13

What is the equation of line l? y = -x - 1 y = x + 1 y = 3x - 3 y = -3x - 3

Mathematics
2 answers:
ivolga24 [154]3 years ago
5 0

Answer:

y = 3x-3

Step-by-step explanation:

The line has a y intercept of -3   (where it crosses the y axis)

We know the slope is positive since it goes up from left to right

The only answer with a positive slope and a y intercept of -3 i

y = 3x-3

ruslelena [56]3 years ago
3 0

To find the equation of this line, let's first find the y-intercept of the line which is the point where the line crosses the y-axis.

To find the y-intercept, we start at the origin.

We go 0 units to the left or right and 3 units down.

So that's (0, -3).

Now we can confirm that the y-intercept is -3.

So for any of the equations that have a y-intercept that's not -3, we can immediately eliminate them.

So we can eliminate y = -x - 1 and y = x + 1.

Now we have two equations left, y = 3x - 3 and y = -3x - 3.

Now we have to look at our line.

Remember that positive slopes go up and negative slopes go down so we can confirm that the equation won't have a slope of -3.

So therefore, the equation is y = 3x - 3.

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4sin^2 + 13cos^2 = 7. Find cos <br><br> Please read the picture question carefully and help !!
Vanyuwa [196]
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian

Hope it helped!
5 0
3 years ago
Convert the following Logarithmic Equation into a Exponential Equation.<br><br> log_3(-2x+1)=-2y+6
lozanna [386]

Answer:

3^(-2y + 6) = (-2x+1)

Step-by-step explanation:

We have;

log_3_(-2x+1) = -2y + 6

What this means in exponential form is that;

3^(-2y + 6) = (-2x+1)

3 0
3 years ago
Write an expression that can be used to multiply 6x198 mentally
Black_prince [1.1K]
6(100+90+8) is the equation
6x100 =600
  6x90 =540
    6x8  = 48
             1,188 is the answer                                      



7 0
3 years ago
Read 2 more answers
in a 30°-60°-90° triangle, the ( blank) is the (blank) the length of the ( blank) while the longer leg is ( blank) times the len
levacccp [35]

Answer:

16

Step-by-step explanation:

4 0
3 years ago
(2y+3)(3y^2+4y+5) use the chart to multiply the binomial by the trinomial
astra-53 [7]

(2y+3)(3y^2+4y+5)

so u just multiply all the things from different brackets.

2y*3y^2 = 6y^3

2y*4y = 8y^2

2y*2 = 4y

3*3y^2 = 9y^2

3*4y = 12y

3*5 = 15

so 6y^3+8y^2+4y+9y^2+12y+15

thats the answer BUT u need to collect the like terms, otherwise u probably wont get full marks on the question, so:

6y^3+17y^2+16y+15

i hope this helps :)

someone correct me if im wrong

8 0
3 years ago
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