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3 years ago

Mark

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

The base of the triangle is 6 - 2 = 4 units
The height is 6 - 1 = 5 units
Area = 1/2 x 4 x 5 = 10 square units

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Solve this system of equations by graphing. First graph the equations, and then type the solution. y= x+3 y=2x

Yuliya22 [10]

Answer:

(3,6)

Step-by-step explanation:

Y=X+3

Y=X2

X+3=2X

X-2X= -3

-x=-3

x=3

then Y=2X

Y=2×3

Y=6

(3,6)

3 0

2 years ago

F(x) x^2-2x+3= -2x+ 28

Aleksandr-060686 [28]

Answer:

x₁ = - 5, x₂ = 5

Step-by-step explanation:

x^2 + 3 = 28

x^2 = 28 - 3

x^2 = 25

x = ± 5

x = - 5

x = 5

6 0

2 years ago

Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an

Brut [27]

Answer:

Anna will need to deposit $\$9,050.25$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=2\ years\\A=\$10,000\\ r=0.05\\n=12$

substitute in the formula above and solve for P

$10,000=P(1+\frac{0.05}{12})^{12*2}$

$10,000=P(1.0042)^{24}$

$P=10,000/(1.0042)^{24}$

$P=\$9,050.25$

8 0

3 years ago

Help!!! how many solutions are there to this nonlinear system???

Anna [14]

Answer:

Step-by-step explanation:

No solutions, because the graphs do not intersect.

8 0

2 years ago

2x-5y+5z=-10<br> 5x-4y+3z=-19<br> X-y+5z=17

yarga [219]

Answer:

x = -125/71 , y = 448/71 , z = 356/71

Step-by-step explanation:

Solve the following system:

{2 x - 5 y + 5 z = -10 | (equation 1)

5 x - 4 y + 3 z = -19 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Swap equation 1 with equation 2: