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3 years ago

1.1Solve the following equations:1.1.1 (x+5)(x-3)=33

Mathematics

1 answer:

schepotkina [342]3 years ago

8 0

Step-by-step explanation:

x²-3x +5x -15=33

x²-3x+5x=33+15

x²-3x+5x=48

x²+2x=48

divide both sides by 2

x²+x =24

x²= 24

x= ✓24

dunno from here

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What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?

VARVARA [1.3K]

Answer:

$(x + 1)^2 + (y - 7)^2 = 100$

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

$(x - h)^2 + (y - k)^2 = r^2$ ,

Where,

h = -1

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Plug in the values into the equation

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3 years ago

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Answer:

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Step-by-step explanation:

190,000

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3 years ago

Find the missing terms in each arithmetic sequence <br> 1,__,__,-17<br> 2,__,__,20

Galina-37 [17]

Answer:

-5,-11

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Step-by-step explanation:

Let 's say r the commun difference

1,1+r,1+2r,1+3r=-17

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Sequence is 1,-5,-11,-17

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2 years ago

The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

natima [27]

Answer:

The larger number is 96.

Step-by-step explanation:

$let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96$

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2 years ago

1.1Solve the following equations:1.1.1 (x+5)(x-3)=33​

1.1Solve the following equations:1.1.1 (x+5)(x-3)=33