If AB = 45, find the length of AJ.

Step-by-step explanation:

You can solve a system of three equations by multiplying each equation by a number that allows you to add or suvtract the same equation together by eliminating the x or y variable

Answer:

To use elimination to solve a system of three equations with three variables, follow this procedure:

Write all the equations in standard form cleared of decimals or fractions.

Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.

Select a different set of two equations and eliminate the same variable as in Step 2.

Solve the two equations from steps 2 and 3 for the two variables they contain.

Substitute the answers from Step 4 into any equation involving the remaining variable.

Check the solution with all three original equations.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-0.25z= -1.25

Convert the decimals to improper fractions

That's

So we have

Multiply through by 4

We have

- z = - 5

Divide both sides by - 1

the final answer is

Hope this helps you

Answer:

Step-by-step explanation:

[tex] \mathsf{ - 0.25z = - 1.25}[/tex]

Divide both sides of the equation by -0.25

[tex] \mathsf{ \frac{ - 0.25z}{ - 0.25} = \frac{ - 1.25}{ - 0.25} }[/tex]

Calculate

[tex] \mathsf{z = 5}[/tex]

Hope I helped !

Best regards!

Answer:

a(1):30%

(2):2135.34

(3):15000

Step-by-step explanation:

a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100

{5625/18750}×100

(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5

she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5

she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)

(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750

Answer:

I would not separate the same edges when making a second net. Also,  I would make sure that the result cannot be rotated or flipped so that it is the same  as the first.

Step-by-step explanation:

Answer

[tex] \boxed{10p}[/tex]

Step by step explanation

[tex] \mathsf{ - 4p + (- 6p)}[/tex]

When there is a ( + ) in front of an expression in parentheses, the expression remains the same

[tex] \mathsf{ - 4p - 6p}[/tex]

Collect like terms

[tex] \mathsf{ - 10p}[/tex]

Hope I helped!

Best regards!

Answer:

Step-by-step explanation:

To find the length of a we use the cosine rule

That's

a² = b² + c² - 2bc cos A

We have

a² = AB ² + AC ² - 2(AB)(AC) cos A

From the question

AB = 6

AC = 5

A = 20°

Substituting the values into the above formula we have

a² = 6² + 5² - 2(6)(5) cos 20

a² = 36 + 25 - 60cos 20

a² = 61 - 56.38

a² = 4.62

Find square root of both sides

a = √4.62

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex]3x+4\geq13\\\\3x\geq9\\\\x\geq3\\\\A=\big<3\,,\ \infty)[/tex]                         [tex]\frac12x+3\leq4\\\\\frac12x\leq1\\\\x\leq2\\\\B=(-\infty\,,\ 2\big>[/tex]

[tex]A\cup B\not=\varnothing\quad for\ all\ x\in(-\infty\,, 2\big>\cup\big<3\,,\ \infty)[/tex]

so:

     [tex]A\cup B=\varnothing\quad for\ x\in(\,2\,,\ 3\,)[/tex]

Answer:hi, the answer would be (a) or 2<x<3 hope this helps :)

Step-by-step explanation: i just took the test got em all correct

Answer:

140°

Step-by-step explanation:

[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\

\therefore m\widehat{BG} = 360\degree - 300\degree \\

\therefore m\widehat{BG} = 60\degree \\

\because m\widehat{BGD} = m\widehat{BG}

+m\widehat{GD}\\

\therefore m\widehat{BGD} = 80\degree+60\degree\\

\therefore m\widehat{BGD} = 140\degree\\

\because m\angle BAD = m\widehat{BGD} \\

\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]

There are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Factors can be define splitting the value in multipliable values.

Factorization of 15552
= 1 * 4 * 4 * 4* 9 * 9 * 3

Perfect squares can be formed by above factors are
= 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Thus, there are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Learn more about factors here:
https://brainly.com/question/24182713

#SPJ2

Answer:

c) Slope;-7;y-intercept:2

Step-by-step explanation:

Answer:

                                                   inequality sign to opposite one

b ≤ - 19/14  and the answer choices B, C and D are all correct as are less than -19/14

A. 140 is the only one incorrect

Answer:well the answer is 2 hours 16 minutes.

Step-by-step explanation:

To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.

Answer:

( 2x +3) (x+1)

Step-by-step explanation:

2x^2 + 5x + 3

2 factors to 2 and 1

3 factors to 3 and 1

We need to get 5x in the middle

( 2x +3) (x+1)

Answer:

-13a

Step-by-step explanation:

Since -8 and -5 have like variables, you can subtract them. -8-5 is -13, so the answer is -13a.

Answer:

-13a

Step-by-step explanation:

These two numbers are already like terms, so you can subtract it easily.  

First, don't look at the a.

-8-5= -13 because if something is negative and gets subtracted, that means it'll still be negative.

Now that we now it equals -13, we can add the variable a back onto the answer.  We get -13a.  

Answer:

Step-by-step explanation:

If the sides exist in a ratio to one another, then when you multiply some number x by both the length and the width, they still remain as a ratio. The length will be 3x and the width will be 1x. The perimeter formula is

P = 2L + 2W and since our perimeter is 72 and we have both the length and the width, we can fill in the formula and solve for x:

72 = 2(3x) + 2(1x) and

72 = 6x + 2x and

72 = 8x so

9 = x.

If x = 9, then 1x = 9 and 3x = 27. Let's check the perimeter against those side lengths.

P = 2(3x) + 2(1x) and

P = 2(27) + 2(9) and

P = 54 + 18 so

P = 72

and you're done! (The bold numbers above are the width and length, respectively.)

Answer:

Step-by-step explanation:

Hello, let's say that the price was P, a real number.

After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)

= P * 0.8

And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)

= P * 0.8 * 1.15

And this is equal to 22080, so

P * 0.8 * 1.15 = 22080

and the amount of the VAT is P *0.8 * 0.15

[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]

Hope this helps.

Thank you.

Let's look at the corresponding ratios:

[tex]\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\

\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\

\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\[/tex]

And we see that the three aren't equal.

Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.

Answer:

°[Option 3] => Triangle ABC and Triangle EDC are not similar

Step-by-step explanation:

The angles nor the sides are congruent in this image.

Please mark Brainliest

Answer:

Step-by-step explanation:

The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.

Based on the values given in the table for f(x), the interval of x-values that show the function increasing is (-3, -1).

The value of f(x) was decreasing from 34 until it got to -11 where it then started to rise again. The relevant value of x here is -3.

The value then began to rise until it reached -1 where it then fell to -2. The x value here is -1.

The interval of x-values where the function is increasing is therefore (-3, -1).

Find out more on intervals of x-values at https://brainly.com/question/26680949.

#SPJ5

Answer:

The answer is C.

Step-by-step explanation:

First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.

-[pi]L+S=[pi]r(superscript)2 ->

-[pi]L=[pi]r(superscript)2-S

Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].

L=S-r(superscript)2.

Therefore, the answer is C.

Answer:

C

Step-by-step explanation:

[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]

Make the term including 'l' stand alone.

[tex]s - \pi. {r }^{2} = \pi.l[/tex]

Now make L stand alone by dividing through by pi.

[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]

This is the same as

[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]

Answer:

Domain = x - values

Range = y - values

Step-by-step explanation:

main points I'll use as examples for the rest on graph are: (-3,4) (1,2) and (1,6)

Domain: simple numbers here are {-3,1} dont repeat the same x value twice!

Range: {2,4,6}

Make sure values are in numerical order.

Find the rest by these three points! (Which are on graph)

Hope this helps, have a good day :)

Answer:

try 2

Step-by-step explanation:

because it an X-value and it on the graph

Answer:

Glass A

Step-by-step explanation:

Volume = п r ² h

п = 3.14  aprox.

r = radius = diameter/2

h = tall

volume = 3.14 * (84/2)² * 175

volume = 3.14 * 42² * 175

volume = 3.14 * 1764 * 175

volume = 969318mm³

volume = 3.14 * (96/2)² * 125

volume = 3.14* 48² * 125

volume = 3.14 * 2304 * 125

volume = 904320mm³

Answer:

969318 > 904320

then:

Glass A holds more liquid

Answer:

C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]

Step-by-step explanation:

Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:

[tex]g\,\circ \, f (x) =g(f(x))[/tex]

Hence, the right answer is C.

Let f(x) = y

y = log3(x+1) - 1

Plug x in y and y in x

x = log3(y+1) - 1

x + 1 = log3(y+1)

3^(x+1) - 1 = y

[tex]y = 3^{x+1}[/tex] - 1

This is the inverse function.

Hope it helps! xxxx

Answer:

y = [tex]3^{(x+1)}[/tex] -1

Step-by-step explanation:

x = [tex]log_{3}[/tex](y + 1) - 1

x + 1 = log₃(y + 1)

[tex]3^{(x+1)}[/tex] = y + 1

[tex]3^{(x+1)}[/tex] -1 = y

Answer:

answer is 1

Step-by-step explanation:

y∝x

y=kx

15=3k

divide 3 both sides

k=5

so y=5x

when y is 5

5=5×x

divide 5 both sides

x=1

Answer:

-16128

Step-by-step explanation:

This expression can be calculated by algebraic means, whose process is described below:

1) [tex](-28)^{3}+(12)^{3}+(16)^{3}[/tex] Given.

2) [tex](-12-16)^{3} + (12)^{3}+(16)^{3}[/tex] Definition of addition.

3) [tex](-12)^{3} + 3\cdot (-12)^{2}\cdot (-16)+3\cdot (-12)\cdot (-16)^{2}+(-16)^{3}+(12)^{3}+(16)^{3}[/tex] Cubic perfect binomial.

4) [tex](12)^{3}+[(-1)\cdot (12)]^{3}+(16)^{3} + [(-1)\cdot (16)]^{3}+3 \cdot (-12)^{2}\cdot (-16) + 3\cdot (-12)\cdot (-16)^{2}[/tex] Commutative property/[tex](-x)\cdot y = -x\cdot y[/tex]

5) [tex](12)^{3} + (-1)^{3}\cdot (12)^{3} + 16^{3} +(-1)^{3}\cdot (16)^{3} + (-3)\cdot [(-12)^{2}\cdot (16) +(-16)^{2}\cdot (12)][/tex] Distributive property/[tex](-x)\cdot y = -x\cdot y[/tex]/[tex]x^{n}\cdot y^{n} = (x\cdot y)^{n}[/tex]

6) [tex](12)^{3} + [-(12)^{3}]+(16)^{3} + [-(16)^{3}]+ (-3)\cdot [(-12)^{2}\cdot (16)+(-16)^{2}\cdot (12)][/tex] [tex](-x)\cdot y = -x\cdot y[/tex]

7) [tex](-3)\cdot [(-12)^{2}\cdot (16) + (-16)^{2}\cdot (12)][/tex] Existence of the additive inverse/Modulative property for addition.

8) [tex](-3) \cdot [(12)^{2}\cdot (16)+(16^{2})\cdot (12)][/tex] [tex]x^{n}\cdot y^{n} = (x\cdot y)^{n}[/tex]/[tex](-x)\cdot (-y) = x\cdot y[/tex]

9) [tex](-3)\cdot (12)\cdot (16)\cdot (12+16)[/tex] Distributive property.

10) [tex]-16128[/tex]     [tex](-x)\cdot y = -x\cdot y[/tex]/Definition of sum/Definition of multiplication/Result

Answer:

-0.65

Step-by-step explanation:

Step 1: Write out fraction

-13/20

Step 2: Evaluate fraction

-13/20 = -0.65

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the  distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]

The height of the tower is 30.51 meters

Answer:

k=0

Step-by-step explanation:

8(4k-4)=5k-32

32k-32=-5k-32

32k-32+32=-5k-32+32

32k=-5k

32k+5k=-5k+5k

37k=0

37k/37=0/37

k=0

Answer:

k=0

Step-by-step explanation:

To solve for k, we need to first distribute the 8 through the parenthesis.

32k-32=-5k-32

Lets add 5k to both sides.

37k-32=-32

add 32 to both sides

37k=0

divide 37 from both sides

k=0

Answer: [tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]

Step-by-step explanation:

A or B = A+B

Given: In a fish tank, [tex]\dfrac15[/tex] of the fish are guppies and [tex]\dfrac{1}{12}[/tex] of the fish are goldfish.

Then,  the fraction of the fish that are guppies or goldfish in the tank=[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{2+5}{5\times2}[/tex]

[tex]\dfrac{7}{10}[/tex]

Hence, the equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank:

[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]

Answer:

x = 5, y = 8, z = -3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent so to find x:

x + 7 = 3x - 3

-2x = -10

x = 5

To find y:

y + 2 = 2y - 6

-y = -8

y = 8

Therefore, z = x - y = 5 - 8 = -3.