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3 years ago

6

What are the solutions to the equation 3(x-4)(x+5)=0

1 answer:

VMariaS [17]3 years ago

6 0

Answer:

the solutions are 4 and -5

Step-by-step explanation:

$3(x-4)(x+5)=0\\\\(x-4)(x+5)=0\\\\x-4=0\\\\x=4\\\\x+5=0\\\\x=-5$

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Rasek [7]

Answer:

$\huge \orange {\boxed {a =202\degree}}$

$\huge \purple {\boxed { b = 158\degree}}$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

Step-by-step explanation:

In $\odot$ O, ST and VT are tangents at points S and V respectively.

$\therefore OS\perp ST, \:and\: OV\perp VT$

$\therefore m\angle OST=m\angle OVT = 90\degree$

In quadrilateral OSTV,

$m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree$

(By interior angle sum postulate of a quadrilateral)

$m\angle SOV +90\degree +90\degree +22\degree = 360\degree$

$m\angle SOV +202\degree = 360\degree$

$m\angle SOV = 360\degree-202\degree$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

$\because b = m\angle SOV$

(Measure of minor arc is equal to measure of its corresponding central angle)

$\huge \purple {\boxed {\therefore b = 158\degree}}$

$\because a + b= 360\degree$

(By arc sum property of a circle)

$\therefore a = 360\degree - b$

$\therefore a = 360\degree -158\degree$

$\huge \orange {\boxed {\therefore a =202\degree}}$

6 0

3 years ago

Simplify 8√6m+6√8mn/2√2mn

dexar [7]

Awnser is 8<span>6<span>√m</span></span>+3<span>n2</span><span>8<span>√<span>m<span>5 add me as brainliest pls</span></span></span></span>

8 0

3 years ago

Identify the GCF of 9a^4b^4-27a^3b^3+18a^3b^2

hoa [83]

Hello,

To solve, factour out the expression: <span>9a^4b^4-27a^3b^3+18a^3b^2.

Once factoured out you get the GCF 9a^(3)b^(2)

Faith xoxo</span>

3 0

3 years ago

Solve by factoring: 2x2 - 5x - 12 = 0

Zepler [3.9K]

Step-by-step explanation:

$2 {x}^{2} - 5x - 12$

$2 {x}^{2} - 8x + 3x - 12$

$2x(x - 4) + 3(x - 4)$

$2x + 3 = 0 \: \: x - 4 = 0$

$x = \frac{ - 3}{2} \: \: x =4$

5 0

3 years ago

Read 2 more answers

1. 201 - (-8) - 231 =<br><br><br> 2.632+(-196)-(-23) =

lara [203]

Step-by-step explanation:

1) -22

2) -172.368

hope it helps

7 0

3 years ago

Read 2 more answers