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gulaghasi [49]
3 years ago
11

Which point is located on the line represented by the equation y+4=-5(x-3)

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0
The equation of a line that passes through (x1,y1) and has a slope of m is 
y-y1=m(x-x1)
given
y-(-4)=-5(x-3)
the point is (3,-4)
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<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B9%7D%20%29%5E%7B2%7D" id="TexFormula1" title="(\frac{4}{9} )^{2}" alt="(\f
ivanzaharov [21]

Answer:

\frac{16}{81}

Step-by-step explanation:

Just Square the numbers like a normal equation.

4² = 16

9² = 81

This gives us \frac{16}{81}

or 0.198 as a decimal (approx)

6 0
3 years ago
Read 2 more answers
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
D =<br> = (x - x)*+(y - y)<br> +<br> TU = (4,1) (3,-1)<br> Answer:
RideAnS [48]

Answer:

Distance

2.23606797749979

Midpoint

(3.5,0)

Slope

2

x intercept

3.50

y intercept

−7.00

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Value expression of 3^5 / 3^3
suter [353]

Answer:

9

Step-by-step explanation:

3^5 = 243

3^3 = 27

243 / 27 = 9

Hope this helps :)

3 0
3 years ago
What is the unit rate $1.29 for 15oz to nearest tenth
Nina [5.8K]

Answer:

The unit price of an item is the cost for each unit.

The unit price may be calculated for several reasons.

It will allow an easy comparison of the cost of the same quantity of items that come in different sizes.

For example, Company A sells peaches in a can. Their can holds 16 oz of peaches at a price of $1.60. Company B also sells peaches in a can, but their can holds 10 oz of peaches at a price of $1.10. At first glance, Company B looks like they might have cheaper peaches because of the lower overall price, but when you calculate the unit price, you get a more accurate way to compare.

For Company A, $1.60 ÷ 16oz = $0.10 per ounce.

For Company B, $1.10 ÷ 10oz = $0.11 per ounce.

The peaches are measured with ounces as the unit, so now that we have unit prices, we can definitely tell that Company A is the better deal, if you like peaches!

Unit price can also be helpful to find the cost of a single item when many items are purchased together. This may be required if the items are going to be divided up and resold. It could also be useful if several people will pay together with each person paying their fair share of the cost based on how many items they receive.

Step-by-step explanation:

5 0
3 years ago
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