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algol [13]
3 years ago
7

How to find the area of a triangle with given coordiantes? #5-50

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0
Use the coordinates and plot them. On the graph, count the weight and height.
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The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
DaniilM [7]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

4 0
3 years ago
Ellie and Jamie like to bake cookies. Ellie baked 24 chocolate chip cookies, and Jamie baked p peanut butter cookies. Together t
kirza4 [7]

Answer:

C) p + 24 = 56

Step-by-step explanation:

The total number of cookies baked = Number of cookies Ellie baked + Number of cookies Jamie baked

Ellie baked 24 chocolate chip cookies.

Jamie baked p peanut butter cookies.

Total of 56 cookies.

Hence:

56 = p + 24

Therefore, the equation that can be solved for p to find the number of cookies Jamie baked is

p + 24 = 56

Option C is the correct option

7 0
2 years ago
Help i dont know what to do
oksano4ka [1.4K]

Answer:

Pretend the y-axis is a mirror

If the original shape is

P=4,-2

Z=5,-4

M=4,-4

The new image made by mirroring it will be

P’= -4,-2

Z’= -5,-4

M’= -4,-4

Step-by-step explanation:

Sorry if this doesn’t make sense, just graph P’, Z’, and M’ for a mirrored image

3 0
2 years ago
Use the distributive property to multiply, combine like terms & find the equations
kenny6666 [7]

Answer:

32+160

Step-by-step explanation:

3 0
2 years ago
Mrs. Klein surveyed 240 men and 285 women about their vehicles. Of those surveyed, 155 men and 70 women said they own a red vehi
vesna_86 [32]
I attached the answer

7 0
3 years ago
Read 2 more answers
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