The lines y = 2x + 1 and y = -5x - 6 intersect at
a. (1, 1)
b. (1, 2)
c. (-1, -1)
d. (-1, 2)

Step-by-step explanation:

Given :-

And we need to find out how much each receives .Let us take that

According to the Question :-

[tex]\implies \dfrac{9}{7}=\dfrac{x+600}{x}\\\\\implies 9x = 7x + 4200 \\\\\implies 2x = 4200 \\\\\implies x = 2100 [/tex]

Therefore :-

Answer:

ali:mo=937.5 and 262.5

Answer:

After 3 visits both plans will cost the same.

Step-by-step explanation:

Gym A costs $26.76 plus an additional $4 for each visit.

Gym B has no initial fee but costs $12.92 for each visist.

The cost for gym A can be written as

C= $26.76 + 4(x)  where x is the number of visits to the gym A

The cost for gym B can be written as

C= $12.92 (x)  where x is the number of visits to the gym B

Both costs will be equal

12.92x= 26.76 +4x

12.92x-4x= 26.76

8.92x= 26.76

x= 26.76/8.92

x= 3

after 3 visits both plans will cost the same.

Check

12.92x= 26.76 +4x

12.92*3= 26.76 +12

38.76= 38.76

Answer:

No 1/3 is not greater than 5/9.

Step-by-step explanation:

Answer:

Use the Distance Formula! It's super simple. Btw your answer is 2i√7

Step-by-step explanation:

If you look at the second image you can see all the work plus steps to solve it yourself next time!

Please mark brainliest!

The distance between the two points will be 10 units.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

Given points are (1,3) and (5,6). The distance between the points will be calculated as below:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

Substituting the given values, we get:

D = √((3 - (-3))² + (-4 - 4)²)

D = √(6² + (-8)²)

D = √(36 + 64)

D = √(100)

D = 10

Therefore, the distance between the two points (-3, 4) and (3, -4) is 10 units.

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answer:

statements

1. BD ≅ DE

2. CD ≅ DF

3. ∠BDC ≅ ∠EDF

4. ▲BDC = ▲EDF

5. BC ≅ EF

reasons

1. given

2. given

3. definition of vertical angles

4. SAS

5. CPCTC

step-by-step explanation:

Answer:

CI 90 %  =  [ 0,05  ;  0,16 ]

Step-by-step explanation:

From sample we got

n  =  110

x  =  21

p =  21/110  =  0.19      then   q  =  1  -  p   q  =  1  -  0.19   q  = 0.81

To create a 90 % confidence Interval, the significance level α  = 10 %

α = 0.1    α/2  =  0.05

t(c) for   α/2  =  0.05    is from z-table    z(c) = 1.64

CI 90 %  =  (  p  ±   z(c) * √(p*q)/n

CI 90 %  =   [  0,11 ±  1.64 * √ (0.19*0.81)/110 ]

CI 90 %  =  [ 0.11  ±  1.64 * 0.037 ]

CI 90 %  =  [ 0.11  ±  0,06 ]

CI 90 %  =  [ 0,05  ;  0,16 ]

Answer:

a

Step-by-step explanation:

Answer:

5.88 x 1012

Step-by-step explanation:

To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. If you start at the decimal of 5.88 and move it 12 spaces to the right, then you get 5,880,000,000,000 miles.

The number represented in scientific notation is 5.88×1013.

It is the way of writing a large number between 1 to 10 with a power of 10.

We have,

5,880,000,000,000 miles is equivalent to 1 light year.

We can convert this number to scientific notation by moving the decimal point 13 places to the left

(because there are 13 zeros in 5,880,000,000,000) and multiplying by 10 raised to the 13th power:

So,

= 5,880,000,000,000

= 5.88 × 10¹³

Therefore,

The number represented in scientific notation is 5.88×1013.

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Answer:

32 ft

Step-by-step explanation:

Given data

Length= 8ft

Area= 64 f^2

Let us find the width

Area= Length*Width

64= 8* Width

Width= 64/8

Width= 8ft

Hence the perimeter= 2L+2W

P= 2*8+2*8

P= 16+16

P= 32 ft

Answer:

Population of fish in 2010 = 1,646 fish (Approx.)

Step-by-step explanation:

Given:

Population of fish in 2002 = 2100 fish

Decrease rate = 3% per year

Find:

Population of fish in 2010

Computation:

Number of year = 2010 - 2002

Number of year = 8 year

A = P[1+r]ⁿ

Population of fish in 2010 = Population of fish in 2002[1+(-3%)]ⁿ

Population of fish in 2010 = 2100[1-0.03]⁸

Population of fish in 2010 = 2100[0.97]⁸

Population of fish in 2010 = 2100[0.7837]

Population of fish in 2010 = 1645.77

Population of fish in 2010 = 1,646 fish (Approx.)

Answer:  ($3.50- 10% = 3.4)

                ( 3.4 + 6.25% = $3.46 or 3.4625 )

Step-by-step explanation:

The final cost of milk is $ 3.36875

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

price of galloon of milk = $3.50

Discount  = 10%

tax = 6.25%

Now, price after discount

=3.5 x 0.10

= 0.35

and, after tax

=3.5 x 0. 0625

= 0.21875

Hence, final cost of milk = 3.5 -0.35  + 0.21875= $ 3.36875

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Answer:

2.

3p+15−8+11p

=3p+15+−8+11p

Combine Like Terms:

=3p+15+−8+11p

=(3p+11p)+(15+−8)

=14p+7

Answer:

=14p+7

3.

Let's simplify step-by-step.

14p+15−8

=14p+15+−8

Combine Like Terms:

=14p+15+−8

=(14p)+(15+−8)

=14p+7

Answer:

=14p+7

4. Factor 14p+7

14p+7

=7(2p+1)

Answer:

7(2p+1)

Answer:

39.1

Step-by-step explanation:

31.7 + 42.8 + 26.4 = 100.9

35 times 4 = 140

140 - 100.9 = 39.1

Answer:

[tex]mean = \frac{31.7+42.8+26.4+x}{4} \\\\35 = \frac{31.7+42.8+26.4+x}{4} \\\\\\35*4 = 31.7+42.8+26.4+x \\\\140 = 100.9 + x\\\\x= 39.1[/tex]

option 3

Answer:

b-72

Step-by-step explanation:

an expression does not have an answer. she has b amount of buttons and gives away 72.

Answer:

A 47 inches

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer: (x - 2)^2 + (y + 3)^2 = 34

Step-by-step explanation:

The basic equation for a circle is

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre of the circle

Using Pythagoras we can find r^2

r^2 = (2 - -1)^2 + (-3 - -8)^2

= 3^2 + 5^2

= 34

So the circle is (x - 2)^2 + (y - -3)^2 = 34

The Equation of Circle is (x -2)² + ( y + 3)² = 34.

The standard equation of a circle is given by: (x-h)² + (y-k)² = r². Where (h,k) is the coordinates of center of the circle and r is the radius.

We know the standard form of Equation of Circle

(x - a)² + (y - b)² = r²

where (a, b) is the Centre of the circle

Also, we have a  circle with a center at (2,-3) passes through the point (-1,-8).

Using Pythagoras theorem

r² = (2 - -1)² + (-3 - -8)²

= 3² + 5²

= 34

Thus, the Equation of Circle is (x -2)² + ( y + 3)² = 34.

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The number of box tops expired this year is 34.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired.

So, the ratio is 312:24

39:3

13:1

He collected 441 box tops this year.

Here, the ratio is 441/13 =34

Therefore, the number of box tops expired this year is 34.

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Answer:

The slope of the side xy is -2

Step-by-step explanation:

To find the slope of the side xy, we use the slope formula

we have the formula as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (-1,3)

(x2,y2) = (0,1)

m = (1-3)/(0 + 1) = -2/1 = -2

Answer:

2, 2/5 + 3, 1/10

2/5 + 3 = 3 2/5

Step-by-step explanation:

Answer:

x = 24°, y = 53°

Step-by-step explanation:

An inscribed angle is half the measure of its intercepted arc.

arc EC = 2 × ∠ EDC = 2 × 78° = 156°

x = arc BE = 180° - arc EC = 180° - 156° = 24°

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

arc CD = 2 × CED = 2 × 41° = 82°

arc BD = 180° - arc CD = 180° - 82° = 98° , then

∠ BCD = [tex]\frac{1}{2}[/tex] × 98° = 49°

Then

y + 78° + 49° = 180° (sum of angles in triangle )

y + 127° = 180° ( subtract 127° from both sides )

y = 53°

Step-by-step explanation:

Given line is 6x+3y=15

Slope of the given line (m)=-x/y

=-6/3

=-2

let slope of the line perpendicular to the given line be m'.

Condition of perpendicularity,

m×m'=-1

-2×m'=-1

m'=-1/-2

m'=1/2

Answer:

D. x^24

Step-by-step explanation:

If it is in the parenthesis you multiply.

-2*-12= 24

Two negatives equals a positive.

Answer:

[tex]10.9\ \text{m/s}^2[/tex]

Step-by-step explanation:

m = Masa del bloque = 18 kg

F = Fuerza en el bloque = 300 N

[tex]\mu[/tex] = Coeficiente de fricción = 0.6

El equilibrio de fuerzas del sistema viene dado por

[tex]F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2[/tex]

La aceleración del bloque es [tex]10.9\ \text{m/s}^2[/tex].

Answer:

16.64

Step-by-step explanation:

SA=H*B*0.5*4

SA=3.16*2*0.5*4

SA=12.64

AND THE BASE SURFER IS 2*2=4

SO 12.64+4=16.64

Answer:

3.14 ft

Step-by-step explanation:

45/360 × 3.14 × 8

= 1/8 × 3.14 × 8 = 3.14 ft

Answer:

It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one

The Equation for a sine graph is ASin[B(x-C)] + D

A=Amplitude

B= 2π/period

C= c value at the starting point.

D= y value at starting point

Let your Starting point be at the sinusoidal axis (Max + Min)/2.

Looking at this graph

Let's take 1cm on the y axis to be 1unit(1,2,3,4...)

On the x axis... let's take 1cm to be π units(π,2π,3π....)

To get the sinusoidal axis Max - Min/2

Since 1cm is 1unit

Max =1 (from the graph)

Min= -1

1-1/2 = 0

The axis is at the center of middle

Meaning

D=y=0(Its directly at the x axis)

From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.

A=amplitude = 1cm

B=Period...(Time to complete one Oscillation)

It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10

B=2π/Period.

B=2π/19/10

B=2π x 10/19

B=20π/19

C=0

Writing the Equation

Y= 1Sin[20π/19(x-0)] +0

ie

Y = Sin [20πx/19]

My thoughts on it

Correct me if wrong... Thanks

Answer:

The expression is [tex]T(n) = 2*(3)^n[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same.

The general rule of an geometric sequence is given by:

[tex]T(n) = T(0)(q)^n[/tex]

In which T(0) is the initial amount and q is the quotient.

During the first 4 years after the fire, she records 2, 6, 18, and 54 trees.

First term is 2, so [tex]T(0) = 2[/tex].

Quotient is [tex]q = \frac{54}{18} = \frac{18}{6} = \frac{6}{2} = 3[/tex]

So

[tex]T(n) = T(0)(q)^n[/tex]

[tex]T(n) = 2*(3)^n[/tex]

The expression is [tex]T(n) = 2*(3)^n[/tex]

Answer:

[tex] \boxed{-30\:– \: x \:= \: 10 \: \: and \: -30 - x = -10} [/tex]

The equations can be used to find the  minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]

The current diving depth (d) is given as:

[tex]d = -30ft[/tex]

The position (p) she tries to stay is given as:

[tex]p = 10ft[/tex]

Represent the minimum and the maximum distances with x.

So, the distances are calculated using:

[tex]d - x = p[/tex] and [tex]d - x = -p[/tex]

Substitute values for d and p

[tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]

Hence, the equations can be used to find the  minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]

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