mgcvpzbi
Write the equation for the line that passes through (3,0) and is
parallel to the line 2x + 5y = 30.

Answer:

9

Step-by-step explanation:

Answer:

A little more than 3 times

Step-by-step explanation:

Answer:

[tex]\huge\boxed{1.\ -120,\ -240}\\\boxed{2.\ \dfrac{10}{3},\ \dfrac{10}{9}}\\\boxed{3.\ \dfrac{27}{32},\ \dfrac{81}{64}}[/tex]

Step-by-step explanation:

[tex]\text{if}\\a_1,\ a_2,\ a_3,\ ...\text{is a geometric sequence}\\\text{then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=const.=r\\\\a_n=a_{n-1}r[/tex]

[tex]1.\\-15,\ -30,\ -6\\\\\dfrac{-30}{-15}=-2;\ \dfrac{-6}{-30}=\dfrac{1}{5}[/tex]

it,s not a geometric sequence...

I think it should be:

[tex]-15,\ -30,\ -60,\ ...\\\\\dfrac{-30}{-15}=2;\ \dfrac{-60}{-30}=2\\\\next\\\\-60\cdot2=-120\\-120\cdot2=-240[/tex]

[tex]2.\\90,\ 30,\ 10,\ ...\\\\\dfrac{30}{90}=\dfrac{1}{3};\ \dfrac{10}{30}=\dfrac{1}{3}\\\\next\\\\10\cdot\dfrac{1}{3}=\dfrac{10}{3}\\\\\dfrac{10}{3}\cdot\dfrac{1}{3}=\dfrac{10}{9}[/tex]

[tex]3.\\\dfrac{1}{4},\ \dfrac{3}{8},\ \dfrac{9}{16},\ ...\\\\\dfrac{\frac{3}{8}}{\frac{1}{4}}=\dfrac{3}{8}\cdot\dfrac{4}{1}=\dfrac{3}{2};\ \dfrac{\frac{9}{16}}{\frac{3}{8}}=\dfrac{9}{16}\cdot\dfrac{8}{3}=\dfrac{3}{2}\\\\next\\\\\dfrac{9}{16}\cdot\dfrac{3}{2}=\dfrac{27}{32}\\\\\dfrac{27}{32}\cdot\dfrac{3}{2}=\dfrac{81}{64}[/tex]

In my knowledge

2 × 8 + 5 = 21

Hope it helps ;)

Answer:

Step-by-step explanation:

4=2(2), 6=2(3) so the lcd is 2(2)3=12

Answer:

The answer is 3 because its a constant value and the rest are variables

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

To learn more on Triangle, click:

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Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.226 gram.

Answer:

Step-by-step explanation:

Perimeter:

Correct options are A and C

Answer:

Step-by-step explanation:

let width be p

according to the first condition

therefore

the length is

3×p+5

3p+5

Parameter of a rectangle

=2(l+w)

=2(3p+5+p)

=2(4p+5) {combine like terms}

=8p+10{distribute 2}

Answer:

Y=x(600-x)

Step-by-step explanation:

How many trees?

500

Answer:

C. [tex]m=20[/tex], [tex]n=10[/tex]

Step-by-step explanation:

Since the triangle is a special 30°-60°-90° triangle, the hypotenuse is twice the size of the shortest leg. The long leg is [tex]\sqrt{3}[/tex] of the short leg.

Answer: x = 20

Step-by-step explanation:

The angle is 90 degrees so we can make an equation

with it.

3x + 10 + x = 90

Combine like terms

4x + 10 = 90

subtract 10 from both sides to cancel it out

4x = 80

Now divide by 4 to leave x by itself

x = 20

Now you can check if it's correct by plugging in x to the equation given

3(20) + 10

60 + 10

70

20 + 70 = 90 degrees

Answer:

D: 20 degrees

Step-by-step explanation:

First, we add 3x+10 and x together because they are within a right angle, which is 90 degrees. This gives the equation 4x+10=90. We solve from here.

We subtract 10 from both sides to isolate the x-variable. 90 minus 10 equals 80. This gives us the equation 4x=80. To further isolate the x-variable, we divide both sides by 4. 80 divided by 4 equals 20.

This leaves us with x=20.

Hope this helped!

Answer:

54.3

Step-by-step explanation:

485 / 9 = 54.3333(ect)

You just round and it would be 54.3

Answer:

y=5/6x+b

Step-by-step explanation:

use formula (y2-y1)/(x2-x1) to look for the slope:

(8-(-2))/(6-(-6))

=10/12

=5/6 (simplified)

then, use the formula y=mx+b to get the equation by substituting m and x, y to either (-6, -2) or (6, 8):

8=5/6(6)+b

8=5+b

3=b (subtract 5 on both sides)

equation:

y=5/6x+3

Answer:

y+1=2(x-1)

Step-by-step explanation:

use point slope form

Answer:

No, you have to divide

Step-by-step explanation:

Speed = distance/time

distance/speed = time

Answer:

Approximately 17 bags.

Step-by-step explanation:

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet

volume of the portion to be covered = area x depth

                                                = 100 x [tex]\frac{1}{3}[/tex]

                                                = 33 [tex]\frac{1}{3}[/tex] cubic feet

The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.

The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]

                                                       = 16[tex]\frac{2}{3}[/tex]

                                                   = 16.6667

The number of bags of mulch needed is 17.

Answer:

hi

Step-by-step explanation:

i translated your question…

and

[tex]x - 4 = 5 \\ x = 5 + 4 \\ x = 9[/tex]

[tex]3 - x = - 4 \\ x = - 4 - 3 \\ x = - 7[/tex]

[tex]5 - x = 7 \\ x = 7 - 5 \\ x = 2[/tex]

hope it helps

Have a nice day bye

Answer:

$6,937.50

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 25000(.0925)(3)

Answer:

m=1/2

Step-by-step explanation:

your answer is right

Answer:

17/50.

Step-by-step explanation:

In order to write 34% as a fraction or mixed number in simplest form, the following calculation has to be done:

34% = 0.34 = 34/100

34/100 = 17/50

Thus, given that 17 is a prime number that cannot be divided by other number than 1 or 17, the simplest form to write 34% as a fraction is 17/50.

Answer:

x=24

Step-by-step explanation:

$;$"+";$;";";'+$-$$+$+$+_+

Answer:

34 + x = 70 ; 36

Step-by-step explanation:

Given that:

Current amount = 34

Final amount = 70

Number of roses planted by the workers today ;

Current amount + number planted today = final amount

Let number planted today = x

34 + x = 70

x = 70 - 34

x = 36

Answer: -270

Step-by-step explanation:

First, simplify the exponent

[tex]-6*(25+20)[/tex]

Then, distribute

[tex]-150+-120[/tex]

Then, subtract(add a negative)

[tex]-270[/tex]

Hope it helps <3 :)

Answer:

i did the first

Step-by-step explanation:

1st way

Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5

y = -2/3*X^2-16/3*X-17/3

X = -4 ±√( 15/2) = -6.7386, or -1.2614

Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)

two real roots: X=-1.2613872124776866 and -6.738612787477313

Answer:

Step-by-step explanation:

Vertex form is:

Vertex of the function is point (h, k)

b) Congruent to y = 2/3x² and opens down means:

Maximum value at (-4, 5) means:

The function is:

c) Congruent to y = 1/2x² and has minimum value y = -5 at x = -8:

The function is:

d) Vertex (-7, -2) and passes through the point (-3, 4)

Substitute coordinates and find a:

The function is: