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Tatiana [17]
3 years ago
10

What is the equation of the line that passes through (2,-6) and has a slope of -1

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0
Y = -1x + b
Plug in equation
-6 = -1(2) + b
-6 = -2 + b, b = -4
Solution: y = -1x - 4
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Nicole invested her savings in two investment funds. The amount she invested in Fund A was $3000 less than the amount she invest
victus00 [196]
<span>Let us denote the amount of investment in the Fund B with x. We know that Fund B returned 8%  and that in Fund A Nicole invested </span>$3000 less than the amount she invested in Fund B, so we can write: x-3000<span>Fund A returned 6%. 
Interest = 2060
The percent has been converted by multiplying the equation by 100 
8x+6(x-3000)= 2060*100 
8x+6x-18000=206000
</span><span>14x=206000+18000
14x=224000
x=16000
Nicole invested in Fund B $16000 and in Fund A </span><span> $16000-3000=13000.</span><span>

</span>
8 0
3 years ago
Find the measure of the angle indicated. 6
deff fn [24]

Answer:

1) m∠U = 90°

2) m∠C = 80°

Step-by-step explanation:

1) The given figure is a quadrilateral

The sum of the interior angles of  quadrilateral = 360°

∴ The sum of the interior angles of the given figure = 360°

Therefore, we have;

80° + 24·x + 4 + 6 + 21·x + 90° = 360°

80° + 45·x + 10  + 90° = 360°

x = (360°- (80° + 10° + 90°))/45 = 4

x = 4

m∠U = 6 + 21·x = 6 + 21 × 4 = 90

m∠U = 90°

2) The sum of the interior angles of the given quadrilateral = 360°

∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°

86·x + 16 = 360°

x = (360° - 16°)/86 = 4

x = 4

m∠C = 20·x = 20 × 4 = 80

m∠C = 80°

3) In the figure, some angles are left out, therefore, more information on the remaining angles required

6 0
3 years ago
Healthy Gym
ehidna [41]

Answer:

c=2d+5

Step-by-step explanation:

Let

d ------> the number of days

c -----> the cost

we know that

The cost is equal to the number of days multiplied by $2 per day plus the initial fee of $5

The linear equation in slope-intercept form is

c=md+b

where

m is the slope

b is the c-intercept (value of c when the value of d is equal to zero)

in this problem we have

m=$2 per day

b=$5

substitute

c=2d+5

8 0
3 years ago
Read 2 more answers
please help me it is URGENT pls the first one is solve and the 2nd one is simplify I will give u lots of points thank you
klasskru [66]
I.) (5x+3)/4-(2x-4)/3=5
Clear fractions:
3·((5x+3)/4)=15x+9
4·((2x-4)/3)=8x-16
15x+9-(8x-16)=5
15x+9-8x+16=5
Combine like terms:
7x+25=5
7x=-20
x=-20/7

II.) (3/11)·(5/6)-(9/12)·(4/3)+(5/13)·(6/15)
Remember PEMDAS
So first multiply:
3/11·5/6=15/66
9/12·4/3=3/3·1/1=3/3=1
5/13·6/15=1/13·6/3=6/39=2/13
(15/66)-1+(2/13)
Combine:
15/66-1/1=15/66-66/66=-51/66
-51/66+2/3=-51/66+44/66=-7/66
Answer: -7/66 :)
7 0
3 years ago
Read 2 more answers
2x+8y = 6<br> 15x + 20y = 15
Likurg_2 [28]

Answer:

The solution is (0, 3/4)

Step-by-step explanation:

Please copy and share the instructions.  Here they are:  Solve the following system of linear equations.

Both of the equations can be reduced (simplified):

2x+8y = 6            =>  x + 4y = 3

15x + 20y = 15     => 3x + 4y = 3

Let's use the elimination by addition and subtraction method.  Multiply the first equation by -1, obtaining

                                 -x - 4y = -3

Add the second       3x + 4y = 3

equation to the

first.

We get:                       2x = 0.

Thus, x = 0.  Substituting 0 for x in the 1st original equation yields:

2(0) + 8y = 6.  Then y = 6/8, or y = 3/4.

The solution is (0, 3/4).

4 0
3 years ago
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