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svet-max [94.6K]
2 years ago
13

Slope 1/3; y intercept = -1

Mathematics
2 answers:
erastova [34]2 years ago
4 0

Answer:

Given below.

Step-by-step explanation:

using the formula :

y = mx + c ....where m is the slope and c is the y intercept

(a) if slope 1/3; y intercept = -1

y = x/3 - 1

(b) if slope -2/5; y intercept = 0

y = -2x/5 + 0

y = -2x/5

(c) if slope= -1; y intercept= 4

y = -1x + 4

y = -x + 4

galben [10]2 years ago
4 0

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

Slope intercept form of an equation is :

\qquad \sf  \dashrightarrow \: y = mx + c

where,

  • m = slope

  • c = y - intercept

Now, let's find the required equations ~

<h3>A.) Slope = 1/3 and y intercept = -1 </h3>

\qquad \sf  \dashrightarrow \: y =  \dfrac{1}{3} x - 1

<h3>B.) Slope = -2/5 and y intercept = 0</h3>

\qquad \sf  \dashrightarrow \: y =   - \dfrac{2}{5} x

<h3>C.) Slope = - 1 and y intercept = 4 </h3>

\qquad \sf  \dashrightarrow \: y =  - x + 4

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mote1985 [20]

Answer:

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3 years ago
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Tim bought some 25 cent and some 29 cent stamps. He paid 7.60 dollars for 28 stamps. How many of each type of stamp did he buy?
Citrus2011 [14]

Answer:

25 cent stamps = 13 and 29 cent stamps = 15

Step-by-step explanation:

x = 25 cent stamps and y = 29 cent stamps

x + y = 28......x = 28 - y

0.25x + 0.29y = 7.60

0.25(28 - y) + 0.29y = 7.60

7 - 0.25y + 0.29y = 7.60

-0.25y + 0.29y = 7.60 - 7

0.04y = 0.60

y = 0.60 / 0.04

y = 15 <===== 29 cent stamps

x + y = 28

x + 15 = 28

x = 28 - 15

x = 13 <===== 25 cent stamps

lets check it...

0.25x + 0.29y = 7.60

0.25(13) + 0.29(15) = 7.60

3.25 + 4.35 = 7.60

7.60 = 7.60 (correct..it checks out)

8 0
3 years ago
Stephanie has a recipe that calls for 2/3 tablespoon of vanilla to make 3 1/2 dozen cookies. How many tablespoon of vanilla are
Ierofanga [76]

Answer:

5.25 tablespoons are needed per dozen

Step-by-step explanation:

8 0
3 years ago
X=<br> Length=<br> Width=<br> WILL GIVE BRAINLIEST + 5 star
babymother [125]

Answer:

x = 20

Length = 20ft

Width = 12ft

Step-by-step explanation:

A = 240

x^2 - 8x = 240

x^2 - 8x - 240 = 0

x^2 - 20x + 12x - 240 = 0

x(x-20) + 12(x-20) = 0

(x+12)(x-20) = 0

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3 years ago
Require help with this question
user100 [1]
A) There are a number of ways to compute the determinant of a 3x3 matrix. Since k is on the bottom row, it is convenient to compute the cofactors of the numbers on the bottom row. Then the determinant is ...
  1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k

bi) Π₁ can be written using r = (x, y, z).
  Π₁ ⇒ 3x +2y +z = 4

bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
  Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
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c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.

A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.

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