Kate multiplied two binomials using the distributive property. She made a
mistake in one of the steps. Where did she first make a mistake?
(x - 2)(3x + 4)
1. (x-2)(3x) + (x + 2)(4)
2. (X)(3x) + (-2)(3x) + (x)(4) + (2)(4)
3. 3x2 - 6x + 4x + 8
4.3x2 - 2x + 8

Answer:

d = 9

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] , that is

[tex]\frac{15}{d-4}[/tex] = 3 ← multiply both sides by d - 4

15 = 3(d - 4)

15 = 3d - 12 ( add 12 to both sides )

27 = 3d ( divide both sides by 3 )

9 = d , that is

d = 9

Answer:

C

Step-by-step explanation:

First check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{12}[/tex] and ([tex]\sqrt{12}[/tex] )² = 12

2² + ([tex]\sqrt{8}[/tex] )² = 4 + 8 = 12

Thus the triangle is right → C

Answer:

C.

Step-by-step explanation:

Squaring the numbers we get 2^2 = 4, 8 and 12.

Lets look at the relation between  4 8 and 12:-

12 = 4 + 8

- so it obeys the Pythagoras theorem.

It is a right triangle and the answer is C.

Answer:

Step-by-step explanation:

d+q ≤  16

She can have 16 or less than 16 coins (dimes and quarters) but no more than 16 coins

Answer:

.96/12= .08 cents

Step-by-step explanation:

Use a calculator

Answer:a and b

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Remember: 5 or more-> Rounds up, Less than 5-> Rounds down

A. Incorrect, would round down to 470,000 due to it being 472 in the thousands place

B. Correct, would round up to 480,000 due to it being 476 in the thousands place

C. Correct, would round down to 480,000 due to it being 482 in the thousands place

D. Incorrect, would round up to 490,000 due to it being 485 in the thousands place

E. Incorrect, would round up to 490,000 due to it being 487 in the thousands place

Hope it helped! (:

Answer:

Please help and NO LINKS

Please help and NO LINKSTo conduct a survey about the type of phone service most people in Greenville prefer, 10 different blocks in the neighborhood are chosen. On these 10 blocks, 10 houses are selected at random, and then one resident of each of those houses is interviewed. This type of sampling method is(A)

Step-by-step explanation:

(I hope this helps)(BRAINLEIST PLEASE)❤☺️☻♨️

Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation: Hope this help :D

Answer:

3/12 + 8/12

11/12

Step-by-step explanation:

Answer:

10 centenas de mil =  1000.000 unidades.

Step-by-step explanation:

Recordemos que 10 centenas es igual a 1000 unidades

Ahora, 10 centenas de mil seria un millon de unidades

Osea, 1000.000 unidades.

Espero te haya servido.

Answer:

no solution

Step-by-step explanation:

Answer:

If the slope is different - always one solution

if the slope is the same but the y intercept is different - no solution

if the slope and y intercept are the same - infinite number of solutions

Answer:

y = -1/6x + 2

Step-by-step explanation:

y = -1/6x + b

3 = -1/6(-6) + b

3 = 1 + b

b = 2

Answer:

circumference =2πr

2x22/7x4

44/7x4

=176/7

=25.142857

Answer:

32 ounces of fruits

Step-by-step explanation:

Given that :

Number of distinct fruits purcahed = 6

Number of ounces of each fruit = 5 1/3

The total ounces of fruits purchased :

(Number of distinct fruits purchased * Number of ounces of each fruit)

6 * 5 1/3 = 6 * 16/3

6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.

Answer:

from my understanding of math, yes

Step-by-step explanation:

Answer:

[tex] - 2x + 5y = 20 \\ 5y = 2x + 20 \\ y = \frac{2}{5} x + 4 \\ slope = \frac{2}{5} \\ y - intercept = 4[/tex]

Answer:

hi! the mixed number would be [tex]2\frac{1}{7}[/tex]

Step-by-step explanation:

a remainder can be written as 1/the divisor

SA = GS

The values of SA is 8

Answer:

x = 12

Step-by-step explanation:

EC = 1/2AC

Double EC

4x + 22 = 8x - 14

subtract 4x and add 14

36 = 4x

divide by 4

12 = x

Answer: square root(265)

Step-by-step explanation:

Again, you can solve this via the Pythagorean theorem(a^2+b^2=c^2)

a= a side

b= another side

c= hypotenuse

Now, Substitute

12^2+11^2=x^2

144+121= 265

Now, square root  and you get

square root(265)

Answer:

i think c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

(-3,4)

Step-by-step explanation:

270 degrees counterclockwise about the origin our point (x,y) becomes (y,-x)

F is at (-4,-3) so the new point F' is at (-3, - -4) or (-3,4)

Answer:

6

Step-by-step explanation:

9 x 6 = 54

3 x 6 = 18

54 - 18 = 36

Answer:

9x-3x=36

6x=36

x=36/6

x= 6

3y+4y=49

7y=49

y= 49/7

y= 7

10r-2r+5=69

8r=69-5

8r=64

r=64/8

r=8

Step-by-step explanation:

if it helps don't forget to like and mark me

Answer:

Gjdkv7fyfkg4kftirfkb8

Answer:

no

Step-by-step explanation:

Steps to answering this question

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

273691.4

Answer:

(just took the test)

Answers for entire quiz on EDGE for "Writing Linear Equations":

C. y = 1/4x+2

A. y=12x+8

C. y=x+2

B. c(x) = 6x + 3

A. k – 2 = 1/9(t – 18)

A. y=-5/8x+6

C. 5

A. y = x + 3

C. 2x + 5y = –15

B. y + 13 = 5(x + 2)

hope this helps y'all!

The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex]

The equation of a line that passes through points (8, 4) and (0, 2) is .

The equation of the line in Slope-Intercept form is:

                     y = mx + b            ( m - slope)

The equation of the line slope intercept is-

               [tex]y - 4 = \frac{1}{4} ( x -8)\\y - 4 = \frac{1}{4} x - \frac{8}{4} \\y - 4 = \frac{1}{4} x - 2\\y = \frac{1}{4} - 2 + 4\\y = \frac{1}{4} x + 2\\[/tex]...................(1)

Now compare equation 1 from y = mx + b

   So,        m = 1/4       &  b = 2

Therefore, The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex] .

Learn more about slope brainly.com/question/12109165

#SPJ2

Answer:

A and E

Step-by-step explanation:

at the end of the 10 weeks, annie's dads plan gives her 511 dollars, which is more than her mothers. it is a geometric sequence.

Answer:

c = 5n

Step-by-step explanation:

y = c

x = n

Points on the graph: (1,5) and (2, 10)

Slope:

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

m=(10-5)/(2-1)

m= 5

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x

c = 5n

Answer:

C

Hope that helps!

Step-by-step explanation: