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Nataly [62]
3 years ago
8

Y+5=2(x+1) what is the slope for this Math

Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

2

Step-by-step explanation:

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.y=mx+bRewrite in slope-intercept form.Simplify 2(x+1).Apply the distributive property.

y+5=2x+2⋅1

multiply 2 by 1.

y+5=2x+2

y+5=2x+2

Move all terms not containing y to the right side of the equation.Subtract 5 from both sides of the equation.

y=2x+2−5

y=2x−3

the slope is the "m" so the slope is 2

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Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or
Irina18 [472]

Answer:

4) i) The numbers can represent the side lengths of a triangle

ii) Right triangle

5) i) The numbers can represent the side lengths of a triangle

ii) Isosceles triangle

6) i) The numbers can represent the lengths of the sides of a triangle

ii) Pythagoras theorem

7) The numbers do not represent the lengths of sides of a triangle

8) i) The numbers can represent the side lengths of a triangle

ii) Scalene triangle

Step-by-step explanation:

In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side

The given numbers are;

4) i) 15, 20, 25

Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle

ii) 15² + 20² = 25²

Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem

The triangle is a right triangle

5) i) The given numbers are;

2, 6, 6

Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle

ii) Given that the lengths of two sides are equal (6 each), the triangle formed by the numbers is an isosceles triangle

6) i) 0.27, 0.36, 0.45

0.27 + 0.36 = 0.63 > 0.45, therefore, the numbers can represent the lengths of the sides of a triangle

ii) Given that 0.27² + 0.36² = 0.45², according to Pythagoras theorem, the type of triangle formed is a right triangle

7) 2.5, 1.5, 4

Given that 2.5 + 1.5 = 4, the numbers do not meet the criteria for forming triangles and therefore they cannot represent the side lengths of a triangle

8) i) 12,  16, 25

12 + 16 = 28 > 25, the numbers can represent the side lengths of a triangle

ii) 12² + 16² = 400 < 25² = 625, therefore, the triangle formed by the numbers is not a right triangle but a scalene triangle.

7 0
2 years ago
i am begging for help. all of my points for the first to answer. The volume of a sphere is 3/4 x pi cm^3. what is the radios of
horsena [70]

volume of a sphere = 4/3 *pi * r^3

3/4 * pi = 4/3 *pi * r^3

divide each side by pi

3/4 = 4/3 * r^3

multiply each side by 3/4

3/4 * 3/4 = r^3

9/16 = r^3

take the cube root of each side

r = (9/16) ^ (1/3)

3 0
3 years ago
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer
valentina_108 [34]

Answer:

The Integer is -17

Step-by-step explanation:

This is because you must subtract the cost of the shoes from her account

28 - 45 is equal to negative 17

4 0
3 years ago
Blake is a member of a golf club. When he became a member, he deposited money into his club account. For each round of golf that
Leno4ka [110]

Answer:

D)  Blake's account initially had $320, which is decreasing at the rate of $20 per round.

Step-by-step explanation:

Here, according to the question:

x: The total number of golf rounds played

y: Represents the amount, in dollars, left in his account after playing x rounds

Let as assume A is the amount deposited initially.

y = A  - n x    here n : rate of each round played

Also, here

if x  = 2, then y = 280

if x  =4, then y = 240

If x  = 2 and y = 280, then:

y = A  - n x ⇒  280 = A  - 2 n   ... (1)

If x  = 4 and y = 240, then:

y = A  - n x ⇒  240 = A  - 4 n   ... (2)

Solving (1) and (2)  by (1) - (2),  we get:

40 = 2 n or, n  = 20

Putting n = 20 in 280 = A  - 2 n, we get: A  = 280 +  2(20) = 320

⇒ A = $320, n = $20

⇒ The amount initially deposited is $320 and the rate per round is  $20

Hence ,Blake's account initially had $320, which is decreasing at the rate of $20 per round.

4 0
3 years ago
The other question is in the picture
ludmilkaskok [199]

Answer:

blue

Step-by-step explanation:

4 0
2 years ago
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