What is the distance between (8,-3) and (4,-7)

Answer:

○ B x² + 3x - 6

Step-by-step explanation:

Here is the Quadratic Equation:

y = Ax² + Bx + C

Find the expression that is in this form, which would be answer choice B.

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Answer:

(a+b)2 = a2 + b2

Step-by-step explanation:

Answer:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Step-by-step explanation:

We have been given an incomplete statement [tex](a+b)^2=a?+b^2[/tex]. We are supposed to complete the given statement.

We can see that left side of our given equation represents a perfect square. The right side of equation would be perfect square trinomial.

Let us use perfect square formula to expand our given perfect square as:

[tex](x+y)^2=x^2+2xy+y^2[/tex]

Substitute [tex]x=a[/tex] and [tex]y=b[/tex]:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Therefore, the complete statement would be [tex](a+b)^2=a^2+2ab+b^2[/tex].

Final answer:

The problem involves creating two linear equations based on the given information and then solving them simultaneously to find that there are six 6-volt batteries and four 12-volt batteries among the ten.

Explanation:

Solving the Battery Voltage Problem

To solve the problem, we will use a system of linear equations. Let's denote the number of 6-volt batteries as x and the number of 12-volt batteries as y. Since there are ten batteries in total, we can write the following equation:

1. x + y = 10 (Equation for the total number of batteries)

The sum of voltages of all batteries is given to be 84 volts. Each 6-volt battery contributes 6 volts and each 12-volt battery contributes 12 volts to the total voltage. We can write the second equation for the sum of the voltages:

2. 6x + 12y = 84 (Equation for the total voltage from the batteries)

To find the values of x and y, we can simplify the second equation:

3. Divide the second equation by 6:

x + 2y = 14

Now we can subtract the first equation from this new equation to find the value of y:

4. (x + 2y) - (x + y) = 14 - 10

5. y = 4

Now that we know there are four 12-volt batteries, we can use the first equation to find the number of 6-volt batteries:

6. x = 10 - y

7. x = 10 - 4

8. x = 6

Therefore, the group consists of six 6-volt batteries and four 12-volt batteries.

I believe the answer is D. $34.43

Answer:

Step-by-step explanation:

translation and a dilation

The transformation that could have taken place to map ΔABC to ΔA'B'C' : a translation and a dilation

"All the points of a geometric figure are reflected on a line called the line of reflection."

"It is a geometric transformation in which the transformed figure has same shape as the original, but is a different size."

"It is a geometric transformation in which there is change in the position of the geometric figure without changing its shape."

For given question,

ΔABC is transformed to ΔA'B'C'

There is change in the position of ΔABC when it transformed to ΔA'B'C'

This means, ΔABC is translated to ΔA'B'C'

Also, there is change in the size of ΔA'B'C'

This means ΔABC is dilated to ΔA'B'C'

Therefore, the transformation that could have taken place to map ΔABC to ΔA'B'C' : a translation and a dilation

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Answer:ssssssss

Step-by-step explanation:

Final answer

Triangle FAD and triangle BEC is congurent by SSS rule

Explanation

For port (a), determine whether the triangles are congruent by SSS or SAS. If not congruent. wille "not congruent." If congruent, write a congruency statement

From figure 11

We can clearly see that pq is a common line foe both the triangle

FD=BE (COMMON)

FA=BC (GIVEN)

AD=EC (given)

Then we can sat that:

triangle FAD and triangle BEC is congurent by SSS rule

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Say the other number is a. The sum is a+P, which also equals 24.

Write it as, a+P=24.

Now subtract P from both sides.

you get, a = 24-P

So, the other number in terms of P is 24 - P

To express the other number in terms of P when the sum of the two numbers is 24, subtract P from 24: Q = 24 - P.

In Mathematics, when you have a sum of two numbers, and you know the value of one number, you can find the other number by subtracting the known number from the total sum.

This is known as solving for a variable.

In this specific question where two numbers have a sum of 24, and if one number is P, the other number can be expressed in terms of P as 24 - P.

It is a simple equation derived from the basic formula: Sum = Number1 + Number2

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The fraction [tex]\( \frac{2}{3} \)[/tex] results in a repeating decimal [tex]\( 0.\overline{6} \)[/tex], which falls between 0.5 and 1.

Sure, here's a step-by-step explanation:

1. Start with the fraction: We begin with the fraction [tex]\( \frac{2}{3} \)[/tex].

2. Convert to decimal: To convert this fraction to a decimal, divide the numerator (2) by the denominator (3).

[tex]\[ \frac{2}{3} = 0.66666... \][/tex]

The decimal representation of [tex]\( \frac{2}{3} \) is \( 0.\overline{6} \)[/tex], which means the digit 6 repeats infinitely.

3. Determine where it falls between 0.5 and 1: Since the decimal [tex]\( 0.\overline{6} \)[/tex] is greater than 0.5 and less than 1, the fraction [tex]\( \frac{2}{3} \)[/tex] indeed fits the criteria of being a fraction with a repeating decimal between 0.5 and 1.

Answer:

C

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← where r is the radius

here r = 4, thus

x² + y² = 4², that is

x² + y² = 16 → C

Answer:

C). x^2 + y^2 = 16.

Step-by-step explanation:

The equation of a circle with  center (0, 0) and radius r is

x^2 + y^2 = r^2

So our equation  (with r = 4) is:

x^2 + y^2 = 4^2

x^2 + y^2 = 16.

Applying the properties of an isosceles triangle and the sum of a triangle, the measure of angle MNO is: a. [tex]28^{\circ}[/tex]

The figure showing ΔMNO is in the attachment below.

ΔMNO is an isosceles triangle because sides MN and NO are congruent.

Also, the angles opposite each of the congruent sides will be equal also. i.e. m<NOM = m<NMO.

m<NOP = 104 degrees

m<MNO = [tex]180 - 2(180 - m\angle NOP)[/tex] (isosceles triangle)

m<MNO = [tex]180 - 2(180 - 104)[/tex]

[tex]m<MNO = 180 - 2(76)\\\\m<MNO = 180 - 152\\\\m<MNO = 28^{\circ}[/tex]

Therefore, applying the properties of an isosceles triangle and the sum of a triangle, the measure of angle MNO is: a. [tex]28^{\circ}[/tex]

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Answer:

28°

Step-by-step explanation:

I had made a mistake and somehow got 38° but that is incorrect.

what you do is 1st subtract 180°-104° which equals 76

Then divide it by 0.5 (which means one-half) your answer should be 152.

After, subtract 152 from 180. Thus concluding the answer is 28°.

I hope no one makes the mistake I did. I forgot how I did it but the steps listed above are the correct steps. Have an amazing day brainly users.

Answer:

first do addition of x no.

Answer:

33.25

Step-by-step explanation:

Answer: 36.5

Step-by-step explanation:

Answer:

y = 2x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x - 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2, thus

y = 2x + c ← is the partial equation of the line

To find c substitute (1, - 4) into the partial equation

- 4 = 2 + c ⇒ c = - 4 - 2 = - 6

y = 2x - 6 ← equation of line

Step-by-step explanation:

We know: 1 hour = 60 minutes

60 - 32 = 28

32 past 8 o clock is the same as 28 to 9 o clock.

Answer:

i think its -4

aka B

Step-by-step explanation:

Answer:

(B) -4

Step-by-step explanation:

Good morning ☕️

______

Answer:

800

_____________________

Step-by-step explanation:

758 rounded to the nearest hundred 800 because 5 is greater than 4.

:)

Answer:

The correct answer is B.

Step-by-step explanation:

In this graph we can see a "Parabola", this is the curve for a second degree polynomial function, and based on "Fundamental theorem of algebra" we can know that this polynomial has 2 roots (they can be real or imaginary).

In this graph, the curve doesn't touch the X axis, so we know that this function has not real root. So both roots are complex

Answer:

Jenny swam more laps.

Step-by-step explanation:

Lets take this step by step. If Edith swam fewer laps than Shira but more than Gemma, then G < E < S. If Jenny swam more than Shira, then that means Gemma swam the fewest, then Edith, then Shira, and finally Jenny who swam the most laps.

Answer:

Jenny

Step-by-step explanation:

The reason why it's Jenny is because if Edith did not swim more laps that Shira but more laps than Gemma, that means Edith is second to last. Gemma is last because she did not swim more laps than anyone. Jenny would have swam the most laps out of the four girls.

Hope this helps! Good luck!

Answer:

d. -x + y = 8

Step-by-step explanation:

First find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]\frac{-7 + 10}{1 + 2} = \frac{3}{3} = 1[/tex]

Then, we can go ahead and use the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done swifter. It does not matter which ordered pair you choose:

10 = 1[2] + b

2

8 = b

y = x + 8 >> Line in Slope-Intercept Form

Since the exercise wants the equation in Standard Form:

y = x + 8

-x -x

________

-x + y = 8 >> Line in Standard Form

__________________________________________________________

7 = 1[-1] + b

-1

8 = b

y = x + 8 >> Line in Slope-Intercept Form

y = x + 8

-x -x

________

-x + y = 8 >> Line in Standard Form

** You see? I told you it did not matter which ordered pair you chose because you will always get the exact same result, plus the fact that I told you it was alot swifter than the Point-Slope Formula.

* Tip: Use the Point-Slope Formula when it tells you to, otherwise keep using the Slope-Intercept Formula. That way, you get your work done in a jip!

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Answer:

the answer = 0.000089x

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

two minus two equals 0 :)

2 minus 2 equals zero

Answer:

40

Step-by-step explanation:

2/8 = 10/40

3/5 = 24/40

Final answer:

The least common denominator (LCD) of the fractions 2/8 and 3/5 is found by prime factorizing each denominator and then multiplying each fraction by the missing factors from the other denominator to get a common denominator, which in this case is 40.

Explanation:

To find the least common denominator (LCD) of the fractions 2/8 and 3/5, you would follow certain steps. First, since the denominators are not the same, you need to prime factorize each denominator. For 8, the prime factorization is 2 x 2 x 2, and for 5, it is simply 5 because it is already a prime number. To find the LCD, multiply each fraction by a fraction that is equal to "1", consisting of the missing factors from each denominator. In this case, we will multiply 2/8 by 5/5 and 3/5 by 8/8 to make the denominators the same.

The next step is to multiply the numerators and denominators accordingly. This gives us new fractions: 10/40 (from 2/8) and 24/40 (from 3/5), with a common denominator of 40. Hence, 40 is the LCD of 2/8 and 3/5.

If you were adding or subtracting these fractions, you would then be able to combine the numerators over the LCD. However, for this problem, we are only finding the LCD, so our work is complete.

You have the comma in the wrong place.

It's 4,000,000 NOT 4000,000.

Round[4,000,000, 10]

Answer: 4 million

[tex]\huge\boxed{80}[/tex]

Let's start off by writing this with symbols. [tex]8^2+3(\frac{36}{6})-2[/tex]

Follow the order of operations and start with the exponent. [tex]64+3(\frac{36}{6}-2[/tex]

Now, solve the parentheses. [tex]64+3*6-2[/tex]

Multiply. [tex]64+18-2[/tex]

Add. [tex]82-2[/tex]

[tex]\boxed{80}[/tex]

Final answer:

Explanation of solving an arithmetic expression with exponents, division, addition, and subtraction following the order of operations.

Explanation:

To solve the expression 82 + 3 ×(36 / 6) - 2, follow the order of operations (PEMDAS):

Calculate the exponential term: 82 = 64

Divide 36 by 6: 36 / 6 = 6

Multiply 3 by the result of the division: 3 ×6 = 18

Substitute the values back into the original expression: 64 + 18 - 2

Perform the addition and subtraction: 64 + 18 = 82, then 82 - 2 = 80

Therefore, the result of the expression 82 + 3 ×(36 / 6) - 2 is 80.

Answer:

It is about 3.18 inches

Step-by-step explanation:

54 divide by 17 equals to 3.17647058824

estimate 3.17647058824 to hundredth place equals to 1.18

Answer:

when simplified this gives you:

x = -2

Hope this helps.

Answer:

-30

Step-by-step explanation:

1) Remove unnecessary parenthesis:

-20-10

2) Calculate the difference:

-30

Hey!

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

Solution:

= (-20) - (10)

= -20 - 10

= -30

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

Answer:

A. -30

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

Hope This Helped! Good Luck!

Answer:

4/1 = 4

So positive because it's a positive 4.

Step-by-step explanation:

4/1 = 4

if you divide 4 into 1 piece it will still be intact. It would be the one piece that you have. So, the answer is positive. Positive 4.

Answer:

$3.57

Step-by-step explanation:

You multiply .40 by 2.55 which gives you 1.07 then you add that to the original

Answer:

3.57 dollars

Step-by-step explanation:

Cost of sandwich = $2.55

We are given that  To make a profit, the deli sells it at a price that is 140% of the cost

So, selling price of sandwich = [tex]140\% \times 2.55[/tex]

                                             = [tex]\frac{140}{100} \times 2.55[/tex]    

                                             = [tex]3.57[/tex]    

Hence The sandwich sells for 3.57 dollars