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Inessa [10]
2 years ago
8

Please answer correctly

Mathematics
2 answers:
mrs_skeptik [129]2 years ago
7 0

Answer:

y=2x-1

Step-by-step explanation:

up 2 right 1 for slope

y intercept is -1

melomori [17]2 years ago
7 0

Answer:

\boxed{(b) \: y = 2x - 1}

Step-by-step explanation:

<h3>Find the gradient </h3>

( 2,3 ) and ( 0, -1)

m =   \frac{y2 - y1}{x2 - x1}  =  \frac{ - 1 - 3}{0 - 2}  =  \frac{ - 4}{ - 2}  = 2

Gradient is 2

<h3>Find linear equation</h3>

y - y1 = m ( x - x1 )

y - 3 = 2 ( x - 2 )

y - 3 = 2x - 4

y = 2x - 4 + 3

\boxed{y = 2x - 1}

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Prove that the following four points will form a rectangle when connected in order
Lemur [1.5K]

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

Distance between two points = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between A(0, -3) and C(2, 8),

AC = \sqrt{(8+3)^2+(2-0)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = \sqrt{(5-0)^2+(6+4)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

8 0
3 years ago
Mr Ethan divide the a land that measures 42m by 60m into equal what should be the size of largest square
Vikki [24]
The size of the largest square is 36m². To find for the measures of the squares, use the common factors of 42 and 60. Among the common factors, choose the greatest.
Find the factors of 42 using the listing method.
42 - 1, 2, 3, 6, 7, 14, 21, 42
Find the factors of 60 using the listing method also.
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Identify the common factors of 42 and 60.
42 - 1, 2, 3, 6, 7, 14, 21, 42
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common Factors: 1, 2, 3, 6
Therefore, the size of the largest square is 36m² since 6m x 6m is equals to 36m².
3 0
3 years ago
You buy 4 pieces of chicken for $8.80. Write an equation that can be used to express the relationship between the total price t
Phoenix [80]

Answer:

t=$2.20c

Step-by-step explanation:

4 pieces of chicken for $8.80

Cost of 4 pieces of chicken=$8.80

$8.80/4=$2.20 for each chicken

t=$2.20c

5 0
3 years ago
Read 2 more answers
The pictogram shows information about the numbers of phones sold in a shop over a 5-month period.
OLEGan [10]

Answer:

a) 5(6) = 30

b) 3.5(6) = 21

c) 153

Step-by-step explanation:

c) 30 + 39 + 21 + 36 + 27 = 153

7 0
3 years ago
Write -0.37 as a quotient of integers to show that it is rational
Zina [86]

Answer:

-37/100

Step-by-step explanation:

Here, we want to write -0.37 as a quotient of integers

What we are saying is that we want to write it as a fraction of two numbers

That would be;

-0.37 = -37/100

4 0
2 years ago
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