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2 years ago

Twice the difference of a number and 9 is 8

Mathematics

1 answer:

victus00 [196]2 years ago

3 0

Answer:

Step-by-step explanation:

Think: 2(x-9)=8; x = the answer

2(x-9)=8

2x-18=8 (distributive property)

2x=26 (add 18 to both sides)

x=13 (divide both sides by 2)

Hope this answer helps you!

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What are all the roots of the equation x^2+6x-9

frez [133]

Answer:

x = - 3 ± 3 $\sqrt{2}$

Step-by-step explanation:

given the equation x² + 6x - 9 = 0

We can solve for x using the quadratic formula

x = ( - b ± $\sqrt{b^2-4ac }$ ) / 2a

with a = 1, b = 6 and c = - 9

x = ( - 6 ± $\sqrt{6^2-(4(1)(-9)}$ ) / 2

= ( - 6 ± $\sqrt{36+36}$ ) / 2

= ( - 6 ± $\sqrt{72}$ ) / 2

= ( - 6 ± 6 $\sqrt{2}$ ) / 2

x = - 3 ± 3 $\sqrt{2}$

5 0

2 years ago

PLEASE HELP ME:<br><br> Find the perimeter of the figure. Round to the nearest tenth.

Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

$d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }$

<h3>1) distance of AB</h3>

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

$ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} }$

$ab = \sqrt{5 {}^{2} + 4 {}^{2} }$

$ab = \sqrt{41}$ AB = 6.4 units

<h3>2) distance of BC</h3>

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

$bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} }$

$bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} }$

$bc = \sqrt{10}$

BC = 3.2 units

<h3>3) distance of CD</h3>

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

$cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} }$

$cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }$

$cd = \sqrt{65}$

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

$ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }$

$ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} }$

$ad = \sqrt{10}$

AD = 3.2 units

<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0

2 years ago

1.2.8 -0.9+y<br> Your answer

Annette [7]

0.06+y simplify the expression

8 0

3 years ago

I don't know how to solve this please help.

snow_lady [41]

Simplify the expression.

Your answer is: 3738

3 0

2 years ago

Read 2 more answers

Find the measure of ZDCF. C F mDF = 49 G E MEG = 127 Find the measure of angle DCF

AleksandrR [38]

Answer:

Step-by-step explanation:

Comment

If two secants intersect outside a circle (as these two do) then the angle at which they meet is 1/2 the difference between the intersected arcs. Put much simpler <DCF = 1/2 (arc EG - arc DF)

Givens

Arc EG = 127

Arc DF = 49

Solution

<DCF = 1/2(127 - 49)

<DCF = 1/2(78)

<DCF = 39

8 0

1 year ago

Twice the difference of a number and 9 is 8​

Twice the difference of a number and 9 is 8