Solve for y. 2(3y-7)=16​

Answer:

Step-by-step explanation:

Circle A has center (-2, 3)

Circle B has center (2, -2)

Circle A can be mapped to Circle A' by a translation:

Center         Rule of translation   New center

 (x, y)                 (x+4, y-5)

A(-2, 3)           A'(-2+4, 3-5)           A'(2, -2)

Circle A with radius r 1=2

Circle B with radius r 2=3

Scale factor= r 2/r 1 = 3/2 = 1.5

Since any two circles can be translated to have the same center, the dilation r2/r1 proves  the circles are similar where r1 and r2 are the radii of the circles.

The Circle A' and circle B both have center (2, -2). Then circle A' can be mapped to circle B by a dilation with center (2, -2) and a scale factor 3/2=1.5. So circle A and circle B are similar.

Therefore:  Translation right 4, down 5, and then a dilation of 1.5 is true.

                   Translation down 5, right 4, and then a dilation of 1.5 is true.

Answer:

Option A and D

Hope this helps!

Answer:

D

Step-by-step explanation:

16 +10h = 110 is the equation because it uses 10h to represent the hourly wages and you need $110. Therefore, with the starting $16, if you use the hourly $10 rate you can come to your answer using the equation.

Answer:

See explanations below

Step-by-step explanation:

The root of a quadratic equation is determined by its discriminant

D = b²-4ac

If D > 0, the roots are real and unique

If D < 0, the roots are complex

If D= 0, the roots are real and equal

a) For the quadratic equation

y=3x^2+7x+8

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 3,  b = 7 and c = 8

Get the discriminant

D = 7²-4(3)(8)

D = 49 - 96

D = -47

Since the discriminant value is less than 0, hence the roots are complex roots

b) For the quadratic equation

y=2x^2-7x-2

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 2,  b = -3 and c = -2

Get the discriminant

D = (-3)²-4(2)(-2)

D = 9 + 16

D = 25

Since the discriminant value is greater than 0, hence the roots are real and unique.

c) For the quadratic equation

y=9x^2+30x+25

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 9,  b = 30 and c = 25

Get the discriminant

D = 30²-4(9)(25)

D = 900 - 900

D = 0

Since the discriminant value is equal to 0, hence the roots are complex real and equal

C. 116°

Step-by-step explanation:

X=Z add X & Z then subtract the answers from 180°

Janet can buy 36 sets of cutlery.

Two or more expressions with an Equal sign is called as Equation.

Given,

Janet has a 65 dollar budget to buy paper goods and plastic cutlery for an impromptu birthday party

the paper goods will cost 37.50

We need to find the difference of 65 dollars and 37.50 to determine the amount left to purchase cutlery

65-37.5

27.5

As by given, each cutlery set costs 0.75.

We need to divide 27.5 by 0.75 to find number of cutlery sets

27.5/0.75=36.6

Hence, Janet can buy 36 sets of cutlery.

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

56cm³

Step-by-step explanation:

A triangular prism also known as tetrahedron is a polyhedron. It consists of  of four triangular faces, six edges and four vertexes

Area of a triangular prism = 1/3 x area of base x height

1/3 x 14 x 12 = 56 cm³

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:irl

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

Given:

The given expression is

[tex]-4(x+2)-2x+4[/tex]

To find:

The two other equivalent expressions.

Solution:

We have,

[tex]-4(x+2)-2x+4[/tex]

Using distributive property, we get

[tex]=-4(x)-4(2)-2x+4[/tex]

[tex]=-4x-8-2x+4[/tex]

So, one equivalent expression is [tex]-4x-8-2x+4[/tex].

On further simplification, we get

[tex]=(-4x-2x)+(-8+4)[/tex]

[tex]=6x-4[/tex]

Therefore, the second and fully simplified equivalent expression is [tex]6x-4[/tex].

Answer: 2/5

Step-by-step explanation:  Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5

Answer:

A

Step-by-step explanation:

If we plug in the values for A and B we get 9(1/3^2)+3(5)-10. Then using simple math and order of operations, we get 6.

Answer:

1.5558 x 10^4

Step-by-step explanation:

move decimal four places over

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

put 12.4* 20 and you get D

Answer:

I love you 3566267840 and pas 123456

Answer:

55.5 cm

Step-by-step explanation:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{5550}{115+85} \\\\h=2*\frac{5550}{200} \\\\h=2*\frac{111}{4} \\\\h=55.5[/tex]

Answer:

(-3-1)^2+(0+3)^2=r^2

radius is 5 units

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2

We know values of all variables except r at the moment.

h is the x-coordinate of the center of the circle, and k is the y-coordinate.

x and y are coordinates of a point the circumference touches.

From there, just plug in the numbers and solve!

Answer:

your answer will be B. HL Theorem

Step-by-step explanation:

hope it helps you...

Answer:

-0.86602540378  is the decimal form

and the exact form is − √ 3/2  

Answer: 31 cups

Step-by-step explanation:

We should note that 1 quarts = 4 cups

Therefore, 9 1/2 quarts = 9 1/2 × 4 = 19/2 × 4 = 38 cups

Since only 7 cups of tea remained.after the party, the number of cups of iced tea that the people drank during the party will be:

= 38 - 7

= 31 cups of iced tea

Options:

Answer:

Certificate of Deposit

Step-by-step explanation:

Required

Which of the given options has the highest interest rate

To do this, we have to list out the interest rates of each of the given accounts:

So, by comparison:

Juan will earn more if he uses Certificate of Deposit

Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

Answer:

y=3x+1

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

the formula for slope (m) is given as (y2-y1)/(x2-x1)

we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)

label the points:

x1=2

y1=7

x2=3

y2=10

now substitute into the formula:

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

m=(10-7)/(3-2)

m=3/1

m=3

the slope of the line is 3

here's our equation so far:

y=3x+b

now we need to find b (y intercept)

because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b

Let's take (2,7) though since it's the first point

substitute 2 as x and 7 as y in the equation

7=3(2)+b

7=6+b

1=b

so our equation is y=3x+1

Hope this helps! :)

Answer:

your answer should be C.