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AnnyKZ [126]
3 years ago
13

How do I solve this .... question in the image. thank you​

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

Answer:

Below

Step-by-step explanation:

● x-20 = y+20 (1)

● 2(y-22) = x+22 (2)

This is a system of simulataneous equations

Let's simplify the expressions first

● x -20 = y + 20 (1)

Add 20 to both sides

● x -20 + 20 = y+20 +20

● x = y + 40 (1)

● 2(y-22) = x+22 (2)

● 2y - 44 = x +22

Substrat 22 from both sides

● 2y-44-22 = x+22-22

● 2y -66 = x (2)

This is the new system:

● x = y+40 (1)

● x = 2y-66 (2)

Substract (2) from (1)

● x-x = y+40-(2y-66)

● y+40-2y+66 = 0

● -y +106 = 0

● y = 106

Replace y with 106 in (1)

● x = y +40

● x = 106+40

● x = 146

So the solutions are (146,106)

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Viktor [21]

The value of x that is the data point farthest from the line of best fit is 3

<h3>How to determine the x value farthest from the line of best fit?</h3>

The given parameters are:-

x      Residual

3         -5

5         -1

7          3

9          0

Take the absolute value of the residuals

x      Residual

3         5

5         1

7         3

9         0

The largest absolute value is 5

Hence, the value of x that is the data point farthest from the line of best fit is 3

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7 0
2 years ago
How do you solve for X
spin [16.1K]
<span>Example: x − 2 = 4</span>

When we put 6 in place of x we get:

6 − 2 = 4

which is true

So x = 6 is a solution.

How about other values for x ?

<span><span> For x=5 we get "5−2=4" which is not true, so x=5 is not a solution.</span><span>For x=9 we get "9−2=4" which is not true, so x=9 is not a solution.</span>etc</span>

In this case x = 6 is the only solution

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3 years ago
Use the quadratic formula to solve the equation​.<br><br> 4x^2−10x+5=0
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Quadratic formula:

x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}

What do we have:

a=4

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Substitude:

x=\frac{10±\sqrt{b^{2}-4(4)(5)}}{2(a)}

Solve:

x=\frac{10±\sqrt{(-10)^{2}-4(4)(5)}}{2(4)}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-80}}{8}\\\\x=\frac{10±\sqrt{20}}{8}\\\\x=\frac{10±2\sqrt{5 }}{8}\\\\x=\frac{2(±5\sqrt{5) }}{2(4)}

Cancel the common terms:

x=\frac{5±\sqrt{5} }{4}

5 0
3 years ago
Determine the center and radius of the following circle equation:
ioda

Answer:

C(5,-9) and r=8.

Step-by-step explanation:

C(p, q) - center

r=radius

k:x^2 +y^2 +dx+ey+f=0

x^2+y^2 - 10x+18y+42=0

d=-10, e=18, f=42

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Complete the sentence.<br> 32 g≈ ___ oz
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32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of weight: grams and ounces.

From there, we can say that we are asked how many ounces are there in 32 grams.

Converting grams to ounces, we must use the conversion

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8 0
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