A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a parallel street that passes through (2, −3)?

y = 3x + 11
y = 3x − 9
y equals negative 1 third times x plus 1
y equals negative 1 third times x minus 7 thirds

Answer:

103.62 cm C is your answer

Step-by-step explanation:

edg 2020

It is c 100% trust me!

doesn't the thing in the box tell you how much for 90 cookies ?

Answer:

144 ft

Step-by-step explanation:

Put in '3' where 't' is and compute

Height = -16(3^2) + 83(3) + 39 = 144 ft

Answer:

Step-by-step explanation:

Find the LCM of 8,9 and 10.

Prime Factorization to find LCM,

8 = 2 × 2 × 2

9 = 3 × 3

10 = 2 × 5

LCM ( 8 , 9 , 10 ) = 2 × 2 × 2 × 3 × 3 × 5 =360

But 360 is not square

Now we make the pairs complete by multiplying same numbers in prime factorization of LCM.

We need one 2 and one 5 to complete the pair.

We get, Least Square number = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600

Hope this helps

good Luck

Answer:

Step-by-step explanation:

Find Least common  denominator of 8, 9 & 10

8 = 2 * 2 * 2

9 = 3* 3

10 = 5*2

LCM = 2*2*2*3*3*5 = 8 * 9 * 5 = 360

To make 360 a perfect square,multiply by 10

360*10 = 3600 is a perfect square

the measurement of the side, GH is 30.6 units

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given, Triangle DEF is congruent to the triangle GHI from the AA theorem.

So,

EF/HI = DE /GH

GH = (DE*HI)/EF

GH = 13*33/14

GH = 30.6

Therefore, the measurement of the side, GH is 30.6 units

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The strawberries that are way more than 2 ounces will be 24 strawberries.

It should be noted that the information stated that 30 of the 54 strawberries she picked the way less than 2 ounces.

Therefore, the strawberries that are way more than 2 ounces will be the difference between the total number picked and 30.

This will be:

= 54 - 30

= 24

Therefore, the strawberries that are way more than 2 ounces will be 24 strawberries.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

X = 80°

Step-by-step explanation:

it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18

this means the two bottom angles are the same so the other would also be 50°

Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle

Answer:

64° aka D

Step-by-step explanation:

∠J + ∠L + ∠LKJ = 180°

58° + 58° + ∠LKJ = 180°

116° + ∠LKJ = 180°

∠LKJ = 180° - 116°

=  64°

hope i helped

-lvr

the given triangles are not similar

so they will not be congruent

so the answer is not similar

The square to make it a perfect square trinomial is 1/8. The perfect square trinomial is as follows:

(x + 1/6)² + 1/8

A trinomial is an algebraic expression with three terms.

To finish the square of the given quadratic expression, add and subtract the square of half of the linear term's coefficient (x-term), which is (1/6)x, inside the parentheses:

\(x^{2} + (1/3)x + c = x^{2} + (1/6)x + (1/6)x + c = (x + 1/6)^{2} + (3/4) c\)

The constant term must be equal to half the coefficient of the linear term squared for the quadratic equation to be a perfect square trinomial. In other terms, we need:

\((3/4) c = (1/6)^{2} \\\\Solving for c, we get: c = (1/6)^{2} / (3/4) = 1/8\)

As a result, the value of c in the provided expression that completes the square to make it a perfect square trinomial is 1/8. The perfect square trinomial is as follows:

(x + 1/6)² + 1/8

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Answer:

Step-by-step explanation:

6y - y = y(6 - 1) = y * 5

The answer is 5y.

Answer:

Step-by-step explanation:

There are two ways to do this.

Her current pay is C

Her previous pay is x

C = x + 7/100 * x

Or you could combine x and 7% of x immediately

7/100 x = 0.07x

C = 1.07 * x

Answer:

x times 107%

Step-by-step explanation:

If Mrs. Franklin received a 7% raise on x salary she would now be earning 7% more than x. To find this we can easily multiply x by 107% since she is earning 7% more than her previous salary, or x, and get our answer.

Brainliest pls... ∪ω∪

Answer:

X+y=7

Y-x=(-1)

X*Y=54

Y-X=(-5)

X+Y=23

Answer:

(2^)

Step-by-step explanation:

Step-by-step explanation:

The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:

\( \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } \)

Solution,

Let the price of car be X.

Rate(R)=5%

Here,

Commission % of price of car=32500

or,5% of X=32500

or,5/100*X=32500

or,X=32500*20

X=Rs 650000

Hope it helps

Good luck on your assignment........

Answer:

3p = 1/2

Step-by-step explanation:

I hope this helps!

Answer:

C. 22,400.

Step-by-step explanation:

62.9% = 0.629 as a decimal fraction.

Total number of employees in small businesses in the county

= 270 * 132.

So the estimated number with less than $1000 savings

= 270 * 132 * 0.629

= 22,417.

The probability that the coin is a one-sided coin after one flip that outcomes in tails is around 10.9%.

Bayes' theorem is a mathematical formula that assists us with refreshing our convictions about the probability of an occasion happening in view of new information or proof. It includes the earlier probability, which is our underlying conviction about the probability of an occasion, and the probability of the proof given that the occasion has happened. By consolidating these two snippets of information, Bayes' theorem permits us to work out the refreshed or back probability of the occasion happening.

After one flip that outcomes in tails, the probability that the coin is a one-sided coin can be tracked down utilizing Bayes' theorem:

P(biased coin | tails) = P(tails | one-sided coin) * P(biased coin)/P(tails)

P(tails | one-sided coin) = 3/5 (given)

P(biased coin) = 0.1 (given)

P(tails) = P(tails | fair coin) * P(fair coin) + P(tails | one-sided coin) * P(biased coin)

= 1/2 * 0.9 + 3/5 * 0.1

= 0.55

Along these lines,

P(biased coin | tails) = (3/5 * 0.1)/0.55

= 0.109 (around)

Consequently, the probability that the coin is a one-sided coin after one flip that outcomes in tails is around 10.9%.

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Answer:

300 jumping jacks

Step-by-step explanation:

120 ÷ 2 = 60 jumping jacks per minute

60 × 5 = 300 jumping jacks

Sam can do 300 jumping jacks in 5 minutes.

Hope that helps.

Answer:

60

Step-by-step explanation:

120 / 2 = 60 (jumping jacks per minute)

60 * 5 = 300

Best of Luck!

Answer:

 (-7/9)^4 = 2401/6561

Step-by-step explanation:

The rules of exponents apply.

  (a^b)/(a^c) = a^(b-c) . . . . . quotient rule

  (a^b)^c = a^(bc) . . . . . . . . power rule

__

The first rule of exponents shown above helps us find the value of a/b.

  \(\dfrac{a}{b}=\dfrac{\left(\dfrac{-7}{9}\right)^8}{\left(\dfrac{-7}{9}\right)^6}=\left(\dfrac{-7}{9}\right)^{8-6}=\left(\dfrac{-7}{9}\right)^2\)

The second rule of exponents shown above tells us how to find the square.

  \(\left(\dfrac{a}{b}\right)^2=\left(\left(\dfrac{-7}{9}\right)^2\right)^2=\left(\dfrac{-7}{9}\right)^{2\times2}\\\\\boxed{\left(\dfrac{a}{b}\right)^2=\left(\dfrac{-7}{9}\right)^4=\dfrac{2401}{6561}}\)

_____

Additional comment

Since -7 is always to an even power in these expressions, its sign can be ignored. The product of an even number of negative values is positive.

1. The value of Y(1) in the differential equation Y'' = δ(t + 1), Y(0) = 0, Y'(0) = -1 and ℓ{y(t)} = Y(s) is e-1-1.

The Laplace transform of the differential equation is given by: ℒ{Y''} = s² Y(s) - s Y(0) - Y'(0) = s² Y(s) + Y'(0) = ℒ{δ(t + 1)} = e^(-s).Thus, s² Y(s) + Y'(0) = e^(-s), which implies that: s Y(s) - Y(0) + s² Y(s) + Y'(0) = ∫₀^∞ e^(-s t) δ(t + 1) dt, which simplifies to: s Y(s) + s² Y(s) + 1 = e^(-s).

Substituting the initial conditions Y(0) = 0 and Y'(0) = -1, we get the equation: s Y(s) + s² Y(s) + 1 = e^(-s), s² Y(s) + s Y(s) = e^(-s) + s, Y(s) = [e^(-s) + s]/[s(s² + 1)]Taking the inverse Laplace transform, we get: y(t) = ℒ^-1{Y(s)} = (1 - cos(t))/e^t.

Therefore, Y(1) = y(1) = (1 - cos (1))/e = e^(-1) - 1.2. The particular solution of the differential equation yy′ = x + 1, y(0) = 1 is y² = x² + 2x + 1.

The differential equation yy′ = x + 1 can be written as: yy′ - (x + 1) = 0Multiplying both sides by 2y, we get:2yy′ - 2(x + 1)y = 0This equation can be written in the form:(y²)' - (x² + 2x + 1) = 0Integrating both sides with respect to x, we get:y² - (x² + 2x + 1) y = C where C is the constant of integration.

Substituting the initial condition y(0) = 1, we get: C = 1

Therefore, y² = x² + 2x + 1.3. The value of k that makes the differential equation (y³ + kxy⁴ - 2x)dx + (3xy² + 20x²y³)dy = 0 exact is 20. A differential equation of the form M(x,y)dx + N(x,y)dy = 0 is exact if and only if ∂M/∂y = ∂N/∂x.

Here, M(x,y) = y³ + kxy⁴ - 2x and N(x,y) = 3xy² + 20x²y³.

Therefore, ∂M/∂y = 3y² + 4kxy³∂N/∂x = 3y² + 40xy³Equating these two expressions, we get:3y² + 4kxy³ = 3y² + 40xy³4kxy³ = 37xy³k = 37/4 = 9.25.

Therefore, the value of k that makes the differential equation exact is 20.4. If X₁ = e^(-t), X₂ = 3e^(-5t) - e^(5t) are two solutions of the homogeneous part of the differential equation X′ = AX + (6/1), such that the particular solution Xp = X₁u₁ + X₂u₂, then u₁ = 49/5e^t.

The characteristic equation of the differential equation X′ = AX is given by: sI - A = 0, where I is the identity matrix. Substituting the given values of X₁ and X₂, we get: [-1   -2] [u0] [ 1   -5][u₂] = [0] Therefore, u₁ = 2u₂.

Using the initial condition that Xp(0) = 0, we get: u₁ + u₂ = 0Substituting u₁ = 2u₂, we get: u₂ = 0 and u₁ = 0Hence, the particular solution Xp = 0, which implies that X = Xp = 0. Therefore, is indeterminate.

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Answer:

length = 9 in

width  = 5 in

Step-by-step explanation:

         Area of square =side * side

                Side² = 49

                Side = √49

                        = 7  inches

Let the measurement added to the length and removed from the width be 'x'.

length = (7 + x) in

width = (7 -x )in

Area of rectangle = length *width

       length * width = 45 square inches

      (7 + x)(7-x)         = 45

{Identity: (a + b)(a -b) = a² - b² where a = 7 & b = x}

       7² - x²  = 45

       49 - x² = 45

             -x²  = 45 - 49

            -x²   = - 4

               x²  = -4 ÷ (-1)

              x² = 4

               x = √4

              x = 2

Dimension of the rectangle:

         length =7 + 2 = 9 in

         width  = 7 - 2 = 5 in

Answer: $38.34

Step-by-step explanation:

Original bill total: $45

35% discount: $15.75

subtotal: $29.25

sales tax: 8% of $29.25: $2.34

bill for meal: $29.25 + $2.34 = $31.59

Tip: 15% of original cost of meal: 15% of $45: $6.75

TOTAL COST: $31.59 + $6.75 = $38.34

The amount of interest charged at the end of the term is approximately $644.75.

To calculate the amount of interest charged at the end of the term, we can use the simple interest formula:

Interest = Principal * Rate * Time

Principal = $6,250

Rate = 4.12% = 0.0412 (decimal form)

Time = 2 years + 6 months = 2.5 years

Plugging in these values into the formula, we have:

Interest = $6,250 * 0.0412 * 2.5

Calculating this expression:

Interest = $6,250 * 0.0412 * 2.5 = $644.75

Therefore, the amount of interest charged at the end of the term is $644.75 (rounded to the nearest cent).

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Answer:

1/4

Step-by-step explanation:

Originally, Kathy has 1/2 of a pizza.

She gave away 1/4 of a pizza.

This can be expressed as:

1/2 - 1/4 =

2/4 - 1/4 =

(2-1)/4 = 1/4

1/4

explanation

1/2-1/4=0.25

and 0.25 to a fraction is 1/4

Answer:

C: Addition then multiplication can be used to solve the problem

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Because both of have same length and angle