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nikklg [1K]
4 years ago
15

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.

Mathematics
2 answers:
Dmitrij [34]4 years ago
8 0

Answer:

y+5= -3 (x-1); y  = -3x -2 (grad point)

Step-by-step explanation:

leva [86]4 years ago
4 0
Find the equation of the line through <span>the points (–1, –5) and (4, 5).  First, find the slope:  m = rise / run = 5/10 = 1/2.

Then the equation is y-5=(1/2)(x-4).  If (a,1) is on this line, (a,1) must satisfy the given equation.  Let y=1 and solve for x:

1-5 = (1/2)(x-4)   Mult both sides by 2 to get -2 = x-4.   Then x = -4+2 = -2

So (-2,1) is also on the line.</span>
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The general term of an arithmetic sequence is tn = 32 + 3n, where n ∈N and n ≥ 1. The sequence is
Debora [2.8K]

Answer:

D) 35, 38, 41, 44, 47, 50,...

Step-by-step explanation:

The general term of an arithmetic sequence is

t_n=32+3n, where n ∈N and n ≥ 1.

When n=1,

t_1=32+3(1)=35

When n=2,

t_2=32+3(2)=38

When n=3,

t_3=32+3(3)=41

When n=4,

t_4=32+3(4)=44

When n=5,

t_5=32+3(5)=47

When n=6,

t_6=32+3(6)=50

Hence the sequence is 35, 38, 41, 44, 47, 50,...

The correct answer is D

4 0
4 years ago
Find the area of the polygon.
MrRissso [65]

Answer: use formulas for area of square/triangle

Step-by-step explanation:

1st one is a rhombus so use A= BH

which is 5x4 = 20

2nd one is a kite

i assume you have not learnt the formula for kites so u can use triangles (A=1/2BH)

triangle CBA: 1/2 x (6+6)(2) = 12

triangle ACD: 1/2 x (6+6)(10)= 60

area = 12 + 60 = 72

8 0
3 years ago
Read 2 more answers
A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent
AfilCa [17]

QUESTION:

A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent full. how fast did the battery charge and how long did it take?

Solution :

<u>Given</u>

  • Initial amount of charge = 23%
  • Amount after charge = 89%

<u>procedu</u><u>re</u>

Let the rate of charging be r .

r = (change in charge level) / (time interval) = (89% - 23%) / (30 min) = 2.2 % per minute

charge = (rate of charging)(time) + (initial charge)

100% = r*t + 23%

100% = (2.2 %/min)t + 23%

Solve for t and get

t = [(100 - 23) / 2.2]

Answer = 35 min

7 0
4 years ago
I need help please asap?!!!
alina1380 [7]

Answer:

3660

Step-by-step explanation:

'milli..' in the metric system means 1000 th

 there are 1000 milliliters in a liter

   3.66 liters *  1000 ml/liter = 3660 ml

3 0
2 years ago
The sides of a rectangle in the coordinate plane are parallel to the axes two of the vertices of the rectangle are (3,-2) and (-
Llana [10]

Answer:

C(-4,-2), D(3,-7)

Ar=35unit^{2}

Step-by-step explanation:

we procced to identify points:

A(-4,-7), B(3,-2)

for being the sides of a rectangle parallel to the axes, we find the other two vertices (VIEW GRAPH)

C(-4,-2), D(3,-7);  Area of the rectangle Ar=b*h, where

b=(X_{D}-X_{A}); h=(Y_{B}-Y_{D})

So Ar=(3-(-4))*(-2-(-7)) = (3+4)*(-2+7)=7*5=35unit^{2}

7 0
3 years ago
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