Find the measure of the numbered angles in each rhombus.

Find the equation in stope intercept form of the line that passes through the points (-2,4) and (6,2),

Juli2301 [7.4K]

Answer:

y = -x/4 + 7/2

Step-by-step explanation:

Find the slope

( -2 , 4) ( 6 , 2)

m = (y2 - y1)/(x2 - x1)

x1 = -2

y1 = 4

x2 = 6

y2 = 2

m = ( 2 - 4)/( 6 -(-2)

m = ( 2 -4)/(6 +2)

= -2/8

= -1/4

Using point slope form equation

y - y1 = m( x - x1)

Using the second point

( 6 , 2)

x1= 6

y1=2

m = -1/4

y - 2 = -1/4(x - 6)

y - 2 = -(x - 6)/4

Open the bracket with -

y - 2 = (-x + 6)/4

y = ( -x + 6)/4 + 2

LCM = 4

y =( -x + 6 + 8)/4

y = (-x + 14)/4

Rearrange using slope intercept form

y = mx + c.

y = -x/4 + 14/4

We can break 14/4 by dividing by 2

y = -x/4 + 7/2

8 0

4 years ago

lola uses 44 beads to make a bracelet and 96 beads to make a necklace.Write an expression to show how to calculate the total num

Anna11 [10]

13*44 bracelet 96*8 necklace

5 0

3 years ago

Write the quadratic equation that has roots -1-√2/3 and -1+√2/3 , if it's coefficient with x^2 is equal to

SSSSS [86.1K]

Answer:

i not for sure

Step-by-step explanation:

sorry

8 0

3 years ago

Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded

Mila [183]

Answer:

Rate 1: 8

4

1

%=8+1/4=

8.25

%

→

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

60025.6058

Rate 1: 8

4

1

%=8+1/4=

8.25

%

→

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

60025.6058

−

57394.5504

60025.6058−57394.5504

2631.0554

$

2631

$2631

Round to the nearest dollar−

57394.5504

60025.6058−57394.5504

2631.0554

$

2631

$2631

Round to the nearest dollar

Step-by-step explanation:

3 0

3 years ago

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v

klemol [59]

X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)

6 0

3 years ago

Read 2 more answers