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Mumz [18]
3 years ago
13

What is the solution to the system of equations y = -x - 5 and y = 2x + 4

Mathematics
1 answer:
Delvig [45]3 years ago
4 0

Answer:

(-3,-2)

Step-by-step explanation:

y = -x - 5

y = 2x + 4

plug in one of the y equations

(2x+4)= -x - 5

2x+4=-x-5

3x=-9

x= -3

plug in x to one of the y equations

y= -(-3) -5

y=3-5

y= -2

x= -3, y= -2

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Johns birthday party budget is 119.00. He spent 45.50 for sandwiches,26.25 for juice and,15.25 for prizes.how much money is left
Alik [6]
Simply subtract all the spent money from his budget:

$119-$45.50-$26.25-$15.25= $32

Therefore, he has $32 left for other expenses!

Hope this helps!
8 0
3 years ago
Find the LCM ( least common multiple ) of 8, 12, and 16.
abruzzese [7]

the answer for find the lcm of 8,12 and 16 is answer a.48

 

6 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP!!!
natka813 [3]

Answer:

398,765 books were sold

Step-by-step explanation:

How to get the answer:

1) Identify the given

  32,300 is percentage

  8.1 % is rate

  base (b) is missing

2) Solve

   b= p/r

   b= 32,300 / 8.1% or 0.081

   b= 398,765

3) Check

   398,765 x 8.1% = 32,299.97 or 32,300

5 0
3 years ago
X<br>81** *34*=246<br><img src="https://tex.z-dn.net/?f=81x%20%2B%201%20%2B%203%7B4x%20%7D%20%3D%20246" id="TexFormula1" title="
anzhelika [568]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

81^{x+1}+3^{4x}=246

81=3^4

Rewrite equation: 3^{4\left(x+1\right)}+3^{4x}=246

3^{4\left(x+1\right)}=3^{4x}\times 3^4

3^{4x}\times 3^4+3^{4x}=246

Factor out 3^{4x}:

3^{4x}\left(3^4+1\right)=246

Divide both sides by (3^4+1):

\frac{3^{4x}\left(3^4+1\right)}{3^4+1}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{82}

3^{4x}=3

Anything to the power of 1 is itself. Hence,

4x=1\\

x=\frac{1}{4}

3 0
3 years ago
a chord is drawn 3 cm away from the centre of a circle of radius 5 cm. calculate the length of the chord​
lara [203]

Answer:

8 cm

Step-by-step explanation:

the 3 cm line from the chord to the center of a circle is a leg of a right triangle which perpendicularly bisects the chord into two equal halves

draw the hypotenuse of the right triangle from the center of the circle to the endpoint of the chord. This is a radius measuring 5 cm.

find the missing leg of the right triangle

a^2= c^2- b^2

a^2= 25-9

a^2=16

a=4

this is only the measurement of half the chord. To find the full length of the chord multiply by two

4*2=8 cm

7 0
2 years ago
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