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4 years ago

Find the slope of the line identified by the equation 6x+9y=18

Mathematics

2 answers:

mylen [45]4 years ago

8 0

Answer:

1,2

Step-by-step explanation:

Solnce55 [7]4 years ago

6 0

Answer:

-2/3

Step-by-step explanation:

6x+9y=18

9y=-6x+18

y=-6x/9+18/9

y=-2/3x+2

Since y=mx+b, where m = slope and b = y-intercept...

the slope is -2/3

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Find the distance between the points given. (-3, 2) and (9, -3) A √37 B √61 C 13

Kitty [74]

Answer:

$\huge{ \fbox{ \sf{13 \: units}}}$

Option C is correct.

Step-by-step explanation:

$\star{ \sf{ \: Let \: the \: points \: be \: a \: and \: b}}$

$\star{ \sf{ \: let \: A(-3, 2) \: be \: (x1 \:, y1) \: and \: B(9, -3) \: be \: (x2 \:, y2) }}$

$\underline{ \sf{Finding \: the \: distance \: between \: the \: given \: points}} :$

$\boxed{ \sf{Distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\mapsto{ \sf{ \sqrt{ {(9 - ( - 3))}^{2} + {( - 3 - 2)}^{2} } }}$

$\mapsto{ \sf{ \sqrt{ {(9 + 3)}^{2} + {( - 3 - 2)}^{2} }}}$

$\mapsto{ \sf{ \sqrt{ {(12)}^{2} + {( - 5)}^{2} } }}$

$\mapsto{ \sf{ \sqrt{144 + 25}}}$

$\mapsto{ \sf{ \sqrt{169} }}$

$\mapsto{ \sf{ \sqrt{ {(13)}^{2} } }}$

$\mapsto{ \sf{ 13 \: units}}$

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

7 0

3 years ago

Need ASAP I’ll mark brainliest if right

katen-ka-za [31]

Area= 50.24 or 50.2 rounded to the nearest tenth

5 0

3 years ago

Only answer if known and please show work

rusak2 [61]

Easy, the second one. Both figures seem congruent.

4 0

3 years ago

The length of a rectangle is 3ft less than double the width, and the area of the rectangle is 14ft^2 find the dimensions of rect

german

Answer: $4\times 3.5\ ft^2$

Step-by-step explanation:

Given

area of the rectangle is $A=14\ ft^2$

Suppose width is given by w

So, length is $l=2w-3$

The area of a rectangle is $A=l\times w$

putting values

$\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft$

length is $l=4\ ft$

6 0

3 years ago

What is the total surface area of the rectangular<br> prism represented by this net?

dedylja [7]

Answer:

Total surface area of the rectangular prism is 150.88 cm^2

Step-by-step explanation:

area of base = area of top

area of base = 5 x 3.1 = 15.5 cm^2

Area of small lateral surface having dimensions 3.1 cm x 7.4 cm is

=3.1 x 7.4 = 22.94 cm^2

Area of big lateral surface having dimensions 5 cm x 7.4 cm is

=5 x 7.4 = 37 cm^2

Total area of prism = 2 x 15.5 + 2 x 22.94 + 2 x 37 = 150.88 cm^2

total surface area of the rectangular prism is 150.88 cm^2

7 0

3 years ago

Read 2 more answers