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2 years ago

Triangle XYZ with vertices X (1,-2) Y (3,-5) and Z (4,1) translated 5 units left and 3 units up

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

3 0

Answer:

x= (4,-7)

y= (6,-10)

z= (7,-4)

Step-by-step explanation:

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Use Cramer's Rule to solve each system. 5x – 3y = 8 -2x - y = 10

zlopas [31]

Answer:

-2, -6

Step-by-step explanation:

using cramer rule

5 -3

-2 -1

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8 -3

10 -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5 8

-2 10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6

6 0

3 years ago

Read 2 more answers

Exponential growth/decay problem 1

RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) $f(x)=500(1.06)^x$

e) $595.51

Step-by-step explanation:

Part (a)

Exponential GROWTH, since interest is applied to the account each year.

Part (b)

Initial amount = $500

Part (c)

Growth factor = 6% = 0.06 (in decimal form)

Part (d)

General form of exponential growth function:

$f(x)=a(1+r)^x$

where:

a = initial amount
r = rate of growth (in decimal form)
x = time (in years)

Given:

a = 500
r = 0.06

$\implies f(x)=500(1+0.06)^x$

$\implies f(x)=500(1.06)^x$

Part (e)

when x = 3

$\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}$

5 0

2 years ago

To make a scarf, Jenny of blue yarn and white yarn. The number of yards of blue yarn she uses is 4 times the number of white yar

drek231 [11]

4times more or less?

6 0

3 years ago

Triangle LMN is dilated by a scale factor of 2/3 to form triangle L’M’N. Side NL measures 48. What is the measure of side N’L’?

nignag [31]

48 x 2/3 = 32. For dilation just multiply each side by the dilation factor.

8 0

2 years ago

I need help is it A B C or D

qaws [65]

B because when you add .3 to 5 you get 5.3 and when you ad .3 to 5.3 you get 5.6 and so on

4 0

2 years ago

Read 2 more answers