All categories

2 years ago

What is the slope of –3x + 5y = 10? A. m = B. m = 5 C. m = – D. m = –3

Mathematics

1 answer:

nika2105 [10]2 years ago

7 0

Answer:

The slope is 3/5

Step-by-step explanation:

–3x + 5y = 10

Rewrite the equation in slope intercept form y = mx+b where m is the slope and b is the y intercept

Add 3x to each side

5y = 3x+10

Divide by 5

y = 3/5 x + 10/2

The slope is 3/5

You might be interested in

Elise put a magnet into a drawer. One-half of the items in the drawer stuck to the magnet. What fraction of the items in the dra

irinina [24]

Answer:

1/2

Step-by-step explanation:

To get the fraction of items that are not magnetic, subtract the fraction that stuck to the magnet (1/2) from 1 whole, or 2/2:

2/2 - 1/2 = 1/2

Thank you,I appreciate you asking this question

have a nice and relaxed day ! hope I helped .

3 0

3 years ago

I need the answer please don’t scam with a link

-BARSIC- [3]

A.) False
b.) True
c.) True
d.) True

3 0

3 years ago

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

Please answer 5x < 10?

Natalka [10]

Answer:

Step-by-step explanation:

Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.

Step 1: Divide by 5

x < 2

Step 2: Check

5(1) < 10

5 < 10✔️

Step 3: Check Again

Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.

5(-6) < 10

-30 < 10✔️

Step 4: Verified Answer

x < 2

I'm always happy to help :)

7 0

2 years ago

Read 2 more answers

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i

Alex_Xolod [135]

For this we almost have the following equation:
$h = -16t ^ 2 + 25
$
We must match the equation to zero:
$-16t ^ 2 + 25 = 0
$
From here, we clear the value of t.
We have then:
$16t ^ 2 = 25

t ^ 2 = 25/16$
We discard the negative root because we are looking for time:
$t = \sqrt{ \frac{25}{16} } 

$
$t = \frac{5}{4}$
Answer:
it will take him to reach the ground about:
$t = \frac{5}{4}$ seconds

5 0

3 years ago