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andrey2020 [161]
3 years ago
13

The midpoint of (-4,15) and (22,3)

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

(9, 9)

Step-by-step explanation:

midpoint of (-4,15) and (22,3)

=  \bigg( \frac{ - 4 + 22}{2}, \:  \:  \frac{15 + 3}{2}  \bigg) \\  \\  =  \bigg( \frac{18}{2},  \:  \:  \frac{18}{2}  \bigg) \\  \\  =  ( 9,  \:  \:  9) \\  \\

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Write the equation of the line that passes through the points
sesenic [268]

Answer:

y+5=2(x-3) or y+9=2(x-1)

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

m=\frac{-9+5}{1-3}

m=\frac{-4}{-2}

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

Analyze two cases

<em>First case</em>

we have

m=2

point\ (3,-5)

substitute

y+5=2(x-3)

<em>Second case</em>

we have

m=2

point\ (1,-9)

substitute

y+9=2(x-1)

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0
3 years ago
Please help !!!!!!!!!!!!!
Julli [10]

Answer:

→ The table is:

→  x  →  -1   →  0  →  1

→  y  →  -3  →  0  →  3

The graph of the line is figure d

Step-by-step explanation:

∵ y = 3x

∵ x = -1, 0, 1

→ Substitute the values of x in the equation to find the values of y

∴ y = 3(-1) = -3

∴ y = 3(0) = 0

∴ y = 3(1) = 3

→ The table is:

→  x  →  -1   →  0  →  1

→  y  →  -3  →  0  →  3

∵ The form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

∵ y = 3x

→ Compare the equation with the form

∴ m = 3

∴ b = 0

→ That means the slope is positive, then the direction of the line must

   be from left tp right and passes through the origin

∴ The graph of the line is figure d

6 0
3 years ago
Which of the following bank reconciliation items would be reflected in a journal entry?
Len [333]
C. Bank service charges
7 0
2 years ago
Read 2 more answers
Help please<br><br>What is 2/3÷1/2​
Luba_88 [7]

Answer: B

Step-by-step explanation:

2/3 x 2/1 =4/3

3 0
2 years ago
How do i write a two column proof for this??<br><br>Given: PG ≅ SG and PT ≅ ST . Prove: ∠GPT ≅ ∠GST
Nikolay [14]

Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)

Step-by-step explanation:

<u>Given</u>: PG ≅ SG and PT ≅ ST

<u>To Prove</u>: ∠GPT ≅ ∠GST

<u>Proof</u>:  PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

<u>SSS Congruency Axiom</u>:  If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

7 0
3 years ago
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