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GalinKa [24]
3 years ago
8

Solve the following system using either linear combination or substitution. Round any answers to the hundredths place. Show all

work
x-10y=6
y=-5x-23
Mathematics
1 answer:
12345 [234]3 years ago
3 0
So if y=-5x-23 then we can plug that value in for y in x-10y=6, so it becomes

x-10(-5x-23)=6

x+50x+230=6

51x=-224

x=-4.39

plug this x value into the equation y=-5x-23

y=-5(-4.39)-23

y=21.95-23

y=-1.05
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What’s is 4C? Help me out
sveticcg [70]

A would be the correct answer hope this helps

4 0
3 years ago
9/20
NISA [10]

For this case we must find the solution of the following quadratic equation:

x ^ 2 + 5x + 7 = 0

Where:

a = 1\\b = 5\\c = 7

Then, the solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting the values:

x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}

By definition we have:i ^ 2 = -1

x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0
4 years ago
A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s
Shalnov [3]
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3 
4.5 = x
x = 4.5
This is the length above the left hand. 

2x must be then 4.5*2 = 9 foot
This is the length below the left hand. 

Checking
4.5 + 9 + 1.5 = 15 foot 

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
6 0
3 years ago
If B is the midpoint of AC and AB = 4x + 14 and BC = x + 20, determine how long AC is.
Serhud [2]

Answer:

44 units

Step-by-step explanation:

Since B is the mid-point of AC

AB=BC

or,4x+14=x+20

or, 4x-x=20-14

or 3x=6

or,x=6/3=2

AC=AB+BC

= 4x+14+x+20

= 4(2) + 14 +2 +20

= 8+14+22

=44 units

5 0
3 years ago
Read 2 more answers
64 w^2 + 96w+36=0. What is the number of real solutions?
7nadin3 [17]

Answer:

w = -3/4 or -0.75

there is only one solution

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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