I don't know why I can't think (maybe because its late) but can someone answer this along with a clear explanation? Thanks

Answers

Answer 1

Answer: $A=(0,1); \ \ \ B=(1,0)$

y = ax+b

$\pmb{1^(o)} \n \n \begin{cases} 1 = 0*a + b \n 0 = 1*a + b \end{cases} \n \n \begin{cases} b = 1 \n a+b = 0\end{cases} \n \n \begin{cases} b = 1 \n a+1 = 0 \end{cases} \n \n \begin{cases} b = 1 \n a = -1 \end{cases} \n \n \n y = -x +1 \n \n y+x = 1 \n \n \boxed{4y+4x = 4}$

$\pmb{2^(o)} \n \n If \ A=(x_(1), y_(1)); \ \ \ B = (x_(2),y_(2)) \n \n (x_(2) - x_(1)) (y - y_(1))=(y_(2)-y_(1))(x -x_(1)) \n \n (1 - 0)(y - 1)=(0 - 1)(x - 0) \n \n y - 1 = -x \n \n y+x = 1 \n \n \boxed{4y+4x = 4}$

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The square of a number plus the number is 42 . Find the number (s).

Answers

Answer: s = 6 or s = -7

Step-by-step explanation:

Our task is to find the number. But first, let's write the equation:

The square of a number s plus the number is 42.

The square of s = $\sf{s^2}$

Plus s = $\sf{s^2+s}$

this equals 42: $\sf{s^2+s=42}$

Now, let's solve for s. Subtract 42 from both sides, and set the right-hand side equal to 0.

$\sf{s^2+s-42=0}$

Now, let's factor it.

Think of two numbers that:

multiply to -42
add up to 1

These numbers are 6 and -7.

So, the factored expression is :

(s + 6)(s - 7) = 0

Either s + 6 is 0 or s - 7 = 0.

We have two little equations that we can solve for s:

s + 6 = 0 s - 7 = 0

s = 0 - 6 s = 0 + 7

s = -6 s = 7

Final answer:

To find the number(s) that satisfy the equation x^2 + x = 42, you can factorize the quadratic equation (x + 7)(x - 6) = 0 and solve for x. The solutions are x = -7 and x = 6.

Explanation:

To find the number(s) that satisfies the equation, let's represent the number as 'x'. According to the question, the square of the number plus the number is equal to 42. This can be written as x^2 + x = 42. Rearranging the equation, we get x^2 + x - 42 = 0. To solve this quadratic equation, we can factorize it or use the quadratic formula.

Factoring the quadratic equation, we find (x + 7)(x - 6) = 0. Setting each factor equal to zero, we get x + 7 = 0 and x - 6 = 0. Solving these equations, we find x = -7 and x = 6.

Therefore, the number(s) that satisfy the equation are x = -7 and x = 6.

Learn more about Finding solutions to a quadratic equation here:

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a chef prepared five chocolate tortes for a dinner party. the guest consumed 2 5/16 tortes. how many tortes are left?

Answers

Answer:

$2(11)/(16)$ chocolates tortes are left.

Step-by-step explanation:

As per the given statement:

Chef prepared total number of chocolates tortes for a dinner party = 5

and

The guest consumed the number of chocolates tortes = $2(5)/(16) = (37)/(16)$

We have to find the how many tortes are left.

Remaining number of chocolates tortes are left = $5 - (37)/(16) = (80-37)/(16) = (43)/(16) = 2(11)/(16)$

Therefore, $2(11)/(16)$ chocolates tortes are left.

Number of tortes left after consumed by guest is,

⇒ 43/16

We have to given that,

A chef prepared five chocolate tortes for a dinner party.

And, the guest consumed 2 5/16 tortes.

Hence, Number of tortes left after consumed by guest is,

⇒ 5 - 2 5/16

change into improper fraction,

⇒ 5 - 37/16

⇒ (80 - 37)/16

⇒ 43/16

Therefore, Number of left tortes is, 43/16

Learn more about the subtraction visit:

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A grocery store clerk is putting cans of soup on the shelves.She has 12 boxes,wich each contain 24 cans of soup.Altogether,how many cans of soup will the clerk put ont he shelves

Answers

it's 12x24=288 problem solved

Drag one model next to each situation. The correct model for each group represents that situation

Answers

What's the models and the situations? Not sure if there's a pic but it's not visible.

Helpp me please. click the photo to see the question

Answers

Answer:

.42n = p

Step-by-step explanation:

We can write ratios to solve

2.52 / 6 = p/n

.42 = p/n

Multiply each side by n

.42n = p

Answer:

A is the answer

Step-by-step explanation:

You have to divide $2.42 by 6.

$2.52/6=0.42$

The unit rate would be

$p=0.42n$

So for every orange it will cost $0.42

Hope this helps

Evaluate the expression 4a - 3b + c when a = 2, b = 3, and c = 5.

Answers

Final Answer:

The expression 4a - 3b + c, when a = 2, b = 3, and c = 5, evaluates to 4.

Explanation:

To evaluate the expression 4a - 3b + c when a = 2, b = 3, and c = 5, we substitute these values into the expression:

Substitute the values of a, b, and c into the expression:

4(2) - 3(3) + 5

Perform the operations in order:

8 - 9 + 5

Calculate the final result:

-1 + 5 = 4

So, the expression evaluates to 4 when a = 2, b = 3, and c = 5.

Substituting values into expressions: When you have variables in an expression, you can substitute specific values for those variables to find the result. This is a fundamental concept in algebra and mathematics in general, used for solving equations and evaluating expressions.

Learn more about expression

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Answer:

Step-by-step explanation:

given the expression

4a - 3b + c ← substitute a = 2, b = 3, c = 5 into the expression

= 4(2) - 3(3) + 5

= 8 - 9 + 5

= - 1 + 5

= 4

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