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vichka [17]
3 years ago
6

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph o

f y equals 4 x plus 5y=4x+5. Write the equation in​ slope-intercept form, if possible.
Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

The equation for the new line in slope-intercept form is:  

y=4x+2

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0

which for our case is:

y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2

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lawyer [7]
4 because 48 divided 2 equals 24 adn 24 divided by 6 equals 4
6 0
3 years ago
Read 2 more answers
Slope 8 ​; through ​(4​,3​)
Reptile [31]

Answer:

y=8x-29

Step-by-step explanation:

Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.

Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).

x=4, y=3... so 3=8(4)+b

Now you can solve for the variable b to find the y-intercept.

3=8(4)+b, multiply...

3=32+b, subtract 32 on both sides...

-29=b

Therefore, the y-intercept, or b, is -29.

The equation would be y=8x-29

7 0
2 years ago
And the number 6,497.4, the four next to the six is worth ___ times the other four.
FrozenT [24]
Yeah the answer is c
8 0
3 years ago
Please Help!!
Mrrafil [7]
Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. 
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<span>1/x + 1/(x - 8) = 1/3 </span>
<span>3(x - 8) + 3x = x(x - 8) </span>
<span>x^2 - 14x + 24 = 0 </span>
<span>(x - 12)(x - 2) = 0 </span>
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6 0
3 years ago
"A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the vol
Darya [45]

Answer:

w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}      

Step-by-step explanation:

We are given the following in the question:

Volume of cake = 351 cubic inches

Let x inches be the width of cake.

Width of cake, w =

x\text{ inches}

Then, length of cake,l =

(x + 4)\text{ inches}

Height of cake,h =

\dfrac{x}{3}\text{ inches}

Volume of cake = Volume of cuboid

V = lwh

Putting values, we get:

351 = x(x+4)(\dfrac{x}{3})\\\\1053 = x^3 + 4x\\x^3+4x^2-1053= 0\\\\\text{For x = 9}\\(9)^3+4(9)^2-1053= 0

Thus, dimensions of cake are:

w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}

3 0
3 years ago
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