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3 years ago

Has a slope of -2/5 and goes through (-10,-1)

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

7 0

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

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5 t shirts cost $25.00 how much do 15 t shirts cost <br><br><br> if you can please show work!!:)

motikmotik

Answer:

Step-by-step explanation: ok so counting my 5’s .. 5, 10, (15) it’s 3 times soo 5 shirts cost 25 you are gonna do 25x3 so it’s 75

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3 years ago

Read 2 more answers

What is the domain of the function shown in the graph?

lara31 [8.8K]

Answer:

the domain is the possible points on the x axis

Step-by-step explanation:

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3 years ago

Factor completely.<br>28 - 7x^2

FrozenT [24]

Answer:

7(4 - x^2)

Step-by-step explanation:

Well you just factor out 7, since that is the GCF. 7(4 - x^2)

Hope this helps

8 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

A fisherman can

viva [34]

Answer:

4 [miles].

Step-by-step explanation:

1) the condition 'the entire trip took 5 hours' can be written as (where t_us - time spent upstream, t_ds - time spent downstream)

$t_{us}+t_{ds}=5;$

2) but the distance [D] upstream is equal the distance downstream, then the condition above can be written:

$\frac{D}{V_{us}} +\frac{D}{V_{ds}} =5; \ (V_{us}-rowing \ upstream,V_{ds}-rowing \ downstream);$

3) finally,

$D=\frac{5V_{us}*V_{ds}}{V_{us}+V_{ds}};$

D=5*4/5=4 [miles].

5 0

1 year ago

Has a slope of -2/5 and goes through (-10,-1)​

Has a slope of -2/5 and goes through (-10,-1)