Find the slope of the line.
On a coordinate plane, a line goes through (2, 0) and (6, 1).
a.
4
c.
One-fourth
b.
Negative one-fourth
d. 4

Answer:

B. 1,000

There is 100 cm in 1 meter. So 10x100=1000 :)

Sum of first n terms of two AP's are in the ratio (3n + 8) : (7n + 15).

the ratio of their 12th terms​

Let the first terms and common differences of the two APs be a , d & a' , d'.

We know that,

Sum of first n terms of an AP (Sn) = n/2 * [ 2a + (n - 1)d ]

So,

⟹ n/2 * [ 2a + (n - 1)d ] : n/2 * [ 2a' + (n - 1)d' ] = 3n + 8 : 7n + 15

⟹ 2a + (n - 1)d : 2a' + (n - 1)d' = 3n + 8 : 7n + 15

Multiply numerator and denominator by 1/2 in LHS

⟹ a + (n - 1)/2 * d : a' + (n - 1)/2 * d' = 3n + 8 : 7n + 15

Now,

3n + 8 : 7n + 15 is the ratio of nth terms of the two APs.

We have to find the ratio of 12th terms.

We know that,

nth term of an AP (aₙ) = a + (n - 1)d

⟹ a₁₂ = a + (12 - 1)d

⟹ a₁₂ = a + 11d

So,

⟹ a + (n - 1)/2 * d = a + 11d

⟹ n - 1/2 = 11

⟹ n - 1 = 22

⟹ n = 23

Hence, we have to substitute n as 23 to find the ratio of their 12th terms.

⟹ a + 11d : a' + 11d' = 3(23) + 8 : 7(23) + 15

⟹ a + 11d : a' + 11d' = 77 : 176

⟹ a + 11d : a' + 11d' = 7 : 16

∴ The ratio of the 12th terms of the two APs is 7 : 16.

I hope it will help you.

Regards.

Answer:

The scale factor is One-eighth

The coordinates of C prime are (0.75, 0.5).

The coordinates of B prime are (–0.25, 1).

Step-by-step explanation:

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply. The coordinates of C prime are (0.75, 0.5). The coordinates of C prime are (1.5, 1). The scale factor is One-eighth. The scale factor is 8. The scale factor is One-fourth. The scale factor is 4. The coordinates of B prime are (–0.25, 1). The coordinates of B prime are (–0.5, 2).

Solution:

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.

Dilation is the enlargement or reduction in size of an object. If a point X(x, y)  is dilated about the origin by a factor k, its new location is X'(kx, ky)

Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)

kA = A'

(-2k, 4k) = (-0.25, 0.5)

-2k = -0.25, hence k = 1/8

Therefore the scale factor is 1/8 (one- eight)

The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)

Answer:

a, c, and g

Step-by-step explanation:

just took the test on edge. hope this helps :)))

Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

f(x) = −2x + 5

when

x=1

f(1) =−2 * 1 + 5 = -2 + 5 = 3

x=2

f(2) = −2 * 2 + 5 = -4 + 5 = 1

x=3

f(3) = −2 * 3 + 5 = -6 + 5 = -1

x=4

f(4) = −2 * 4 + 5 = -8 + 5  = -3

Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

Have a great day <3

Answer: 16

Step-by-step explanation:

They tell you that for every 5ft=2cm you have 40ft so 40ft/5ft=8 so turn you want to multiply 8x2 to get it in cm which is 16

Answer:

y=-4x-33

Step-by-step explanation:

Since the equation is parallel it will have the same slope which is -4

Now just plug in the points into the equation y=-4x+n

Plug them in and you get -5=-4(-7)+n

Then solve which will get you n=-33

Therefore the equation is y=-4x-33

Answer:

3 pencils per jar

hope it helps you

The number of pencils in each jar will be 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that there are 24 pencils in 8 jars. The number of pencils in each jar will be calculated as,

Number = Number of pencils / Number of the jars

Number = 24 / 8

Number = 3 Pencils

Hence, there will be 3 pencils in each jar.

To know more about an expression follow

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Answer: X=18

Step-by-step explanation:

Answer:

Kelly offers 9 of her friends to play, but 2 of them don't want to play...so if it costs $4 per person...then do $4.00 • 7 = $28.00......so the answer is $28.00 .

Answer:

The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.I was comig through the two doors to see my grandpa and he was bareley alive then I walked with him back through the blue doors with the sam stuffy feeling after I walked through then as we approached the surgery room he miraculously recovered and walked away and no knows how it happened. Too this day the hospital employees wonder how this had happened

Answer:

40000

Step-by-step explanation:

Answer:

The value of 4 is 40,000

Step-by-step explanation:

Can I have brainliest?

Answer:

a

Step-by-step explanation:

hope this helps :)

Answer:

I think its D

Step-by-step explanation:

im not sure correct me if im wrong thanks

Answer:

C

Step-By-Step explanation:

Yes, the square root of 12 is irrational.

Answer:

I believe it is long term goals

Step-by-step explanation:

But I don’t really know if it is correct but it sounds like it would be long term goals

The investment of the money in a retirement fund is part of a plan for achieving Long term goals. Thus, option (B) is correct.

Investment refers to the money spend over something that will give profits and higher rates of return. The money can be spent over the business or in the future projects or in the mutual investments etc.

It is basically the asset that has been acquired or invested to earn the wealth. People do spent in various sectors such as gold, shares, bonds, real estate etc. in order to earn maximum profits out of it.

There are two types of investment that is long term investment and short term investment in which the person spending on the long term investment can spend money on the retirement fund.

Therefore, it can be concluded that option (B) is correct.

Learn more about investment here:

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Answer:

What????

Step-by-step explanation:

Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

[tex]b=\frac{c+2}{a}\:[/tex]

Step-by-step explanation:

[tex]ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\[/tex]

[tex]\frac{c+2}{a}\:[/tex]

Step-by-step explanation:

3y/4 = 36

3y = 36 × 4

3y = 144

y = 48

Hence,

The value of y = 48.

Answer:

i think it is 12-4i

Step-by-step explanation:

since the negative multiples if everything in the second brackets if i remeber

so it is

5+7

and

8-12

Answer:

C: 12 - 4i

Step-by-step explanation:

when you subtract two phrases its the same as when you add two mathematical phrases by combining like terms except you distribute the - sign into the parenthesis so the signs flip.

hope this helps :))

Answer:

it the last one

Step-by-step explanation:

Answer: A

Step-by-step explanation:

1. Divide the price of the raisins by the ounce

                     __

2.98 / 6 = .496

7.18 / 13 = .5523

2. round to the nearest hundredth

.50

.55

3. The lowest unit cost is your answer

Answer:

a

Step-by-step explanation:

because youre supposed to multipy -3 by 2 and that gives you -6 not positive 6

Answer:

$42 per day

Step-by-step explanation:

Michael works 6 days every month

His grandfather pays him the same amount each day.

Michael earned $252

e = $252

Amount Michael earns per day = Total amount earned in a month / number of days worked for in a month

= $252 / 6 days

= $42 per day

Answer:

the Fourth One

Step-by-step explanation:

Answer:

Look at explanation.

Step-by-step explanation:

a.

<ACD and <DCA

b.

90 = m<1 + m<2

90 = 2x + x

90 = 3x

x = 30

Plug back into angles:

m<1 = 2x

m<1 = 60 degrees

m<2 = x

m<2 = 30 degrees

1. (-y, x)

2. (-x, -y)

3. (y, -x)

4. (x, -y)

5. (-x, y)

Answer:

96

Step-by-step explanation:

It appears that the rate of change for this sequence is +3 because since t(1) = 11 and t(3) = 17, it would make sense that t(2) = 14.

From there you can use a calculator and start from 17 and keep adding 3 until you notice a number that doesn't belong in the sequence.

Hope this helps! I apologize if I'm incorrect