If 5x+4y=23 and 4x+5y=22, then what is the value of (x + y)

Answers

Answer 1
Answer:

Answer:

x=3 and y=2

Step-by-step explanation:

I plugged in a lot of numbers until it worked out.

5(3) + 4(2) = 15+8 which equals 23

then 4(3) + 5(2) = 12+10 which equals 22.

hope that helps!

Answer 2
Answer: x=3 and y=2

3+2=5

yay

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Solve the quadratic equation by completing the square.x^2+4x-6=0

First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

1.16, - 5.16

Working
Take 6 to the other side
x^2+4x = 6
Find the 3rd for the left hand side:
x^2+4x+ (4/2)^2= 6 + (4/2)^2
Factoring the LHS gives
(x+2)^2=10
Finding square roots on both sides:
x+2=square root of 10
x+2= +3.1623 or - 3.1623
x=3.1623-2
=1.16 
or
x= -3.1623 - 2
= - 5.16

If x = − 8 and y = 2, evaluate the following expressions: (4y)² −(2x)² =

Answers

Answer:

-192

Step-by-step explanation:

x = -8

y = 2

(4y)² −(2x)² =

(4(2))² −(2(-8)² =

(8)² − (-16)² =

64  − 256 = -192

What is the radius of a circle with circumference 17 mm? Round to the nearest tenth. Use 3.14 for radius

Answers

the radius is 2.71mm

The table below shows the blood types of 75 donors after a one-day blood drive. Based on the results, what is the chance that a random donor has type A blood..?Blood Type- O A B AB
Frequency- 31 33 9 2

Answers

Based on the results, the chance that a random donor has type A blood is; 11/25

How to find the Probability?

We are told that there was a survey of 75 blood donors.

Now, we want to find the chance that a random donor has type A blood. From the given table, we see that there are 33 type A blood donors. Thus;

P(donor has type A blood) = 33/75 = 11/25

Read more about Probability at; brainly.com/question/251701

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What I think the chance that a random donor has type a blood is 44% because there are 33 people in total of 75 that have type A blood type so you simply just divide 33/75 then get .44 which is 44%

Write an algebraic rule to describe the translation C(5, –4) C’(–2, 1)

Answers

Answer:

The required algebraic rule of translation is (x,y)\rightarrow (x-7,y+5).

Step-by-step explanation:

The coordinates of a point are C(5, –4) and the coordinates of image are C’(–2, 1).

C(5,-4)\rightarrow C'(-2,1)           .... (1)

Let the algebraic rule of translation is

(x,y)\rightarrow (x+a,y+b)           .... (2)

From (1) and (2) we get

x=5,y=-4

x+a=-2

5+a=-2

a=-2-5

a=-7

The value of a is -7.

y+b=1

-4+b=1

b=1+4

b=5

The value of b is 5.

The algebraic rule of translation is

(x,y)\rightarrow (x-7,y+5)

Therefore the required algebraic rule of translation is (x,y)\rightarrow (x-7,y+5).

We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)

Solve: 4y - 6 = 2y + 8

Answers

Answer:

y = 7

Step-by-step explanation:

Given

4y - 6 = 2y + 8 ( subtract 2y from both sides )

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7