In ∠QRS, m∠R=65°, and m∠S=35°. Which side of ΔQRS is the longest?

Answer:

x=4

Step-by-step explanation:

x²-16=0

x²=0+16

x²=16

x=√16

x=4

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

Answer:  [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer:

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]

Subtract [tex]\frac{b}{2a}[/tex] from both sides.

[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]

[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

This is a quadratic formula.

Answer:

The answer is A- 3.25x + 13.50 < 40

Answer:

13.50X+3.25 < 40

Answer: 31 students

Step-by-step explanation:

Because the class has 93 students, and there are a total of 124(70+54) classes taken, 124-93 students, or 31 students taking both classes.

Hope it helps <3

Answer:

b > 9

Step-by-step explanation:

6(b – 4) > 30

Divide each side by 6

6/6(b – 4) > 30/6

b-4 > 5

Add 4 to each side

b-4+4 > 5+4

b > 9

Answer:

[tex]\boxed{b > 9}[/tex]

Step-by-step explanation:

[tex]6(b-4) > 30[/tex]

Resolving Parenthesis

6b - 24 > 30

Adding 24 to both sides

6b > 30+24

6b > 54

Dividing both sides by 6

b > 9

Answer:

The center is ( 0,-11) and the radius is 3

Step-by-step explanation:

x^2 + (y + 11)^2 = 9.

The equation of a circle can be written in the form

(x-h)^2 + (y -k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-0)^2 + (y - - 11)^2 = 3^2

The center is ( 0,-11) and the radius is 3

Answer:

2: (0,-11) A: r=3

Step-by-step explanation:

the equation of a circle is given by the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We are given:

[tex]x^2+(y+11)^2=9[/tex]

This is the same as saying:

[tex](x+0)^2+(y-(-11))^2=3^2[/tex]

In other words, the center is at (0,-11).

And the radius is r=3.

Answer:

0.872665

Step-by-step explanation:

Answer:

Marcelo acertou 22 questões.

Step-by-step explanation:

Vamos representar

Questões que acerta = a

Questões que erra = b

a + b = 30 .......... Equação 1

a = 30 - b

o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.

Matematicamente:

3 × a - 2 × b = 50

3a - 2b = 50 pontos ............. Equação 2

Substitua 30 - b por a na Equação 2

3 (30 - b) - 2b = 50

90 - 3b - 2b = 50

90 - 5b = 50

Colete termos semelhantes

90 - 50 = 5b

5b = 40

b = 40/5

b = 8

Questões que erra = b

Marcelo, portanto, perdeu 8 questões.

Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1

a + b = 30 .......... Equação 1

a + 8 = 30

a = 30 - 8

a = 22 questões.

Portanto, ele acertou 22 questões.

The sides are  

6  inches,  8 inches and  10  inches

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

Then the shortest side is  

6

and the longest side is  

10

Answer:

[tex]YZ = 48[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

[tex]XZ = 60[/tex]

Required

Find YZ

From the attachment, AB is parallel and equal to YC;

This implies that

[tex]AB = YC = 24[/tex]

Given that C is the midpoint of YZ;

This implies that

[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]

Substitute values for YC and CZ

[tex]YZ = 24 + 24[/tex]

[tex]YZ = 48[/tex]

Answer:

48

Step-by-step explanation:

Answer:

Compound interest is best defined as:

Earning interest on interest.

Compound interest is earning interest on interest.

Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.

Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals

The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.

as, we know that Compound interest is an interest accumulated on the principal and interest together over a given time period.

So, we can also write Earning interest on interest.

learn more about compound interest here:

https://brainly.com/question/14295570

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Answer:

 x               y

1/4              0

13/4            3

 2             7/4

Step-by-step explanation:

To complete the table we just need to replace the value of x and get y as:

for x = 1/4

[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]

for x=13/4

[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]

for x=2

[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]

So, the complete table is:

x            y

1/4         0

13/4       3

2           7/4

C) Step 3 is wrong because the subtraction property of equality was used incorrectly.

I just took the quiz on edge

Answer:

its c

Step-by-step explanation:

i did the test on edge

Answer:

C. Same is not an orange belt and Kate is not a red belt.

Step-by-step explanation:

The negation for the statement is Sam is not an orange belt or Kate is not a red belt.

The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.

Given statement:

Sam is an orange belt and Kate is a red belt.

Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."

So, the negation statement would be

Sam is not an orange belt or Kate is not a red belt.

Learn more about  De Morgan's laws here:

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Answer:

x = 3 and y = 2

Step-by-step explanation:

Start by multiplying the first equation by "-3" so we can cancel the term with denominator (x+y) when we combine:

[tex]\frac{(-3)\,5}{x+y} -\frac{(-3)\,2}{x-y} =(-3)(-1)\\\frac{-15}{x+y} +\frac{6}{x-y} =3[/tex]

which now added term by term to the second equation gives:

[tex]\frac{-15}{x+y} +\frac{6}{x-y} =3\\\frac{15}{x+y} +\frac{7}{x-y} =10\\ \\\frac{13}{x-y} =13[/tex]

Now we solve for x-y by cross multiplying:

[tex]\frac{13}{13}=x-y\\ x-y=1\\x=y+1[/tex]

Now we use this substitution for x  back in the first equation to solve for the unknown y:

[tex]\frac{5}{(y+1)+y} -\frac{2}{(y+1)-y} =-1\\\frac{5}{2y+1} -2=-1\\\frac{5}{2y+1}=1\\5=2y+1\\4=2y\\y=2[/tex]

and now that we know that y = 2, we use the substitution equation to solve for x:

[tex]x=y+1\\x=2+1\\x=3[/tex]

Answer:

p=-2

Step-by-step explanation:

we can solve by both methods

if it is divisible by x-1,then remainder is zero.

i solve by synthetic division.

x-1=0,x=1

1 |  1 -1  p  2

 |      1  0  p

_________

   1   0  p |2+p

Here 2+p is remainder.

p+2=0

p=-2

Answer:

54

Step-by-step explanation:

10m +n^2 /4

= 10*5 + 4^2 /4

= 50 + 16/4

= 50 + 4

= 54

Answer:

54

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

multiply 2.5 by 2 first

5-4.3=0.7

Answer:

50 square units

Step-by-step explanation:

When graphed you have a width  of 5 and a length of 10 so multiply them together to get 50

Answer:

Step-by-step explanation:

I have this question too. I think it is 45. sorry if its incorrect

Answer:

The answer is

y = 2x -3 and

y = -2x - 3

its y = 2x -3

y = -2x - 3

Answer:

to solve that it gonna be 10 square root of 2 and in decimal form it gonna be 14.14213562

Hope this helps

Step-by-step explanation:

=====================================

Work Shown:

One approach is to simplify the stuff under the second power exponent. After that simplification, you would then square the result.

[tex]x = \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\\\\x = \sqrt{2}+\sqrt{4*2}+\sqrt{9*2}+\sqrt{16*2}\\\\x = \sqrt{2}+\sqrt{4}*\sqrt{2}+\sqrt{9}*\sqrt{2}+\sqrt{16}*\sqrt{2}\\\\x = 1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}\\\\x = (1+2+3+4)\sqrt{2}\\\\x = 10\sqrt{2}\\\\x^2 = \left(10\sqrt{2}\right)^2\\\\x^2 = \left(10\sqrt{2}\right)*\left(10\sqrt{2}\right)\\\\x^2 = 10*10\sqrt{2}*\sqrt{2}\\\\x^2 = 100\sqrt{2*2}\\\\x^2 = 100\sqrt{4}\\\\x^2 = 100*2\\\\x^2 = 200\\\\[/tex]

So,

[tex]\left(\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\right)^2 = 200[/tex]

-----------------------------------------------------

Checking the answer:

Using a calculator,

sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32) = 14.142135623731

Then you square that to get (14.142135623731)^2 = 200.000000000001

Your calculator may not have that 1 at the end. It shouldn't be there and it's a result of rounding error. But it's close enough to 200.

Answer:

E, 13728

Step-by-step explanation:

You can set up a equation

x=(1-0.12)(15600)

This turns out to be 13728.

Answer:

It decreases from 45° to 40°

Step-by-step explanation:

The secant angle GBJ is half the difference of the measure of its intercepted arcs, that is

∠ B = [tex]\frac{1}{2}[/tex] (CDF - GHJ) = [tex]\frac{1}{2}[/tex](130 - 40)° = [tex]\frac{1}{2}[/tex] × 90° = 45°

If arc GHJ is now 50°, then

∠ B = [tex]\frac{1}{2}[/tex](130 - 50)° = [tex]\frac{1}{2}[/tex] × 80° = 40°

That is ∠ B decreases from 45° to 40°

Answer:

T = 1.5s

Step-by-step explanation:

Hello,

To find the time the pincone hits the ground, we need to use the equation given.

Note that h = 0 when the pinecones hits the ground.

This question relates to motion under gravity.

h = -16t² + 36

0 = -16t² + 36

Make t² the subject of formula

16t² = 36

t² = 36 / 16

t² = 2.25

Take the square root of both sides

t = √(2.25)

t = 1.5s

The time it takes the pinecone to hit the ground is 1.5s.

Answer:

5.83 ft

Step-by-step explanation:

Given that

Scale factor, n = 10

Wall in blueprint = 7 in

To find:

Length of actual wall = ?

Solution:

Whenever a blueprint is created for any house or building, it is made smaller by a scale factor.

Here this factor is 10 times.

That means, the blueprint size is 10 times smaller than that of its actual size.

Or we can say that actual wall of building is 10 times the wall of blueprint.

So, wall of building = 10 [tex]\times[/tex] 7 = 70 inches

Now, we know that 12 inches = 1 ft

1 inch = [tex]\frac{1}{12}\ ft[/tex]

70 inches = [tex]\frac{1}{12}\times 70\ ft = 5.83\ ft[/tex]

so, the answer is Wall of building is 5.83 ft.

Answer:

18

Step-by-step explanation:

cm  15   -> 14

hours  6   ->?

cm 15  x3->45

hours 6 x3->18

the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours

Answer:

C.

Step-by-step explanation:

y≥-3

{y:y=-3,-2,-1....}

y<0

{y:y=...-3,-2,-1}

When we see the above inequalities they both start from zero and then go toward the negative numbers.

Hope this helps ;)❤❤❤

Let me know if there is an error in my answer!

====================================================

Work Shown:

y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3

It is in the form y = ax^2 + bx + c

a = 1

b = 8

c = 3

Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)

h = -b/(2a)

h = -8/(2*1)

h = -8/2

h = -4

Plug this into the original equation to get its paired y value. This will get us the value of k

y = x^2 + 8x + 3

y = (-4)^2 + 8(-4) + 3

y = 16 - 32 + 3

y = -13

This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)

We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.

Answer:

The loudness of the dinner conversation is 40 dB

Step-by-step explanation:

Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]

where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2

For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2

Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB

Answer:

50 Db

Step-by-step explanation: