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Zarrin [17]
3 years ago
8

Find an equation of the line passing through the points (−5,−1) with the slope m=3/5 y=

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

Y= 3/5x + 2

Step-by-step explanation:

Plug in the point, and the slope to the equation: Y=mx+b and solve for b so;

-1 = 3/5 (-5) + b

-1= -3 + b

b=2

Then plug in b and m to y=mx+b

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The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the op
andreev551 [17]

<u>B) </u>x   =4.28

<u>C) </u> volume =  135.25cm^3 .

<u>Step-by-step explanation:</u>

Here we have , The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the open box is (x-2) cm. We need to find the following :

a) show that 2x^2+5x-58=0

We know that area of rectangle = length(width)

⇒ Area = length(width)

Putting values according to question we get :

⇒ 58 = (2x+5)(x)

⇒ 58 = (2x^2+5x)

⇒  2x^2+5x - 58 = 0

b) solve the equation in the question above, giving your answer to 2 decimal places

Solving this equation :

⇒  2x^2+5x - 58 = 0

By quadratic formula

⇒ x   = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x   = \frac{-5 \pm \sqrt{5^2-4(2)(-58)} }{2(2)}

⇒ x   = \frac{-5 \pm 22.11}{4}

⇒ x   = \frac{-5 + 22.11}{4} , x   = \frac{-5 - 22.11}{4}    { Since side can't be negative ! }

⇒ x   =4.28

c) calculate the volume of the box, stating units of you answer

Since x = 4.28 , other sides are

2x+5=2(4.28)+5=13.56\\x-2=4.28-2=2.28

We know that volume is given by :

⇒ length(width)(height)

⇒ 13.86(4.28)(2.28)

⇒ 135.25cm^3

Therefore , volume =  135.25cm^3 .

7 0
3 years ago
can somone help me on my last question its a math one so if your good at math can you please help me on that one
svp [43]

Answer:

show me the question you need

Step-by-step explanation:

4 0
3 years ago
Help please now asap pronto
monitta
The IQR is 70
Explanation: 340-270
3 0
3 years ago
Plz help I have school tomorrow and I need to do this
andrew-mc [135]

Answer:

x^9/8

The exponent property that you can use here is that when multiplying the two exponents, you add their exponents

Thus, (x^7/8) (x^1/4) = x^(7/8+1/4)=x^9/8

Step-by-step explanation:

correct me if im wrong

7 0
3 years ago
Read 2 more answers
Choose all sequences of transformations that produce the same image of a given figure.
elena-14-01-66 [18.8K]

<em><u>Your answer: </u></em> a reflection across the y-axis followed by a clockwise rotation 90° about the origin. A clockwise rotation 90° about the origin followed by a reflection across the x-axis. A counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis. A reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin.

Hope this helps <3

Stay safe

Stay Warm

-Carrie

Ps. It would mean a lot if you marked this brainliest

5 0
3 years ago
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