MATHEMATICS HIGH SCHOOL

Find y.

A. √2/2
B. 4
C. √6/2
D. √2

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

the answer is option D

WHEN YOU SUBSTITUTE THE VALUES YOU WILL GET IT............

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Solve this equation 3x + 1 = 10

Answers

Steps:
1. Subtract 1 from both sides
2. 3x=9
3. Divide both sides by 3
4. Your answer is
X=3

The solution to the equation 3x + 1 = 10 is x = 3.

To solve the equation 3x + 1 = 10, follow these steps:

Step 1: Get the variable term (3x) by itself by subtracting 1 from both sides of the equation.

3x + 1 - 1 = 10 - 1

3x = 9

Step 2: Isolate the variable by dividing both sides of the equation by the coefficient of x, which is 3.

3x/3 = 9/3

x = 3

So, the solution to the equation is x = 3.

To know more about equation, refer here:

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How do you Graph 6x-4y=-24

Answers

Plot the equation with respect to y, so let's re-write the equation in slope intercept form:

6x - 4y = -24

*subtract 6x from both sides, then divide through by -4

-4y = -6x - 24

y = (-6/-4)x + (-24/-4)

y = (3/2)x + 6

In slope intercept form:

y = mx + b

where:
m = slope
b = y-intercept

To answer the question, the line crosses the vertical axis line at 6 units up and has a positive slope where the rise 3 units and the run is 2 units

1. (k+7)² =2892. (2s-1)² =225
3. (x-4)² =169

please help me answer these :)

Answers

$1. \ \ \ (k+7)^2 =289\n\n\Leftrightarrow\ \ \ k+7= √(289) \ \ \ or\ \ \ \ k+7=- √(289)\n\nk=17-7=10\ \ \ \ \ \ \ or\ \ \ \ k=-17-7=-24 \n\n2.\ \ \ (2s-1)^2 =225\n\n\Leftrightarrow\ \ \ 2s-1= √(225) \ \ \ or\ \ \ \ 2s-1=- √(225)\n\n2s=15+1\ \ \ \ \ \ \ or\ \ \ \ 2s=-15+1\n2s=16\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ 2s=-14\ns=8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ s=-7 \n\n$

$3.\ \ \ (x-4)^2 =169\n\n\Leftrightarrow\ \ \ x-4= √(169) \ \ \ or\ \ \ \ x-4=- √(169)\n\nx=13+4=17\ \ \ \ \ \ \ or\ \ \ \ x=-13+4=-9$

$(k+7)^2 =289\n |k+7|=17\n k+7=17\vee k+7=-17\n k=10 \vee k=-24$

$(2s-1)^2 =225\n |2s-1|=15\n 2s-1=15\vee 2s-1=-15\n 2s=16 \vee 2s=-14\n s=8 \vee s=-7$

$(x-4)^2 =169\n |x-4|=13\n x-4=13 \vee x-4=-13\n x=17 \vee x=-9$

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

$\boxed {a_(24) = - 70}$

Step-by-step explanation:

According to the following pattern sequence ( $-1, -4, -7, -10$ ), it is Arithmetic Sequence, because every negative number is subtracted by $3$ . So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

$a_(n) = a_(1) + (n - 1) d$

$a_(n)$ : nth term in the sequence

$a_(1)$ : 1st term

$n$ : term position

$d$ : Common difference

-Apply to the formula:

$a_(24) = -1 - 3 (24 - 1)$

$a_(n) = a_(24)$

$a_(1) = -1$

$n = 24$

$d = -3$

-Solve:

$a_(24) = -1 - 3 (24 - 1)$

$a_(24) = -1 - 3 (23)$

$a_(24) = -1 - 69$

$\boxed {a_(24) = - 70}$

Therefore, the 24th term is $-70$ .

Final answer:

The nth term of the sequence is given by the formula nth term = -1 + (n-1)(-3), resulting in a24 (the 24th term) being -70.

Explanation:

To find the nth term of any arithmetic sequence, you can use the formula: nth term = a + (n - 1)d where a is the first term and d is the common difference. In the given sequence -1, -4, -7, -10, the first term (a) is -1 and the common difference (d) is -3 (because each term is 3 less than the previous term).

So, the nth term formula for this sequence would be

nth term = -1 + (n-1)(-3)

To find the 24th term of the sequence (a24), you would substitute n with 24. So, a24 = -1 + (24-1)(-3) = -70.

Learn more about Arithmetic sequence here:

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You measured 6 cups of water and 5 cups of lemon juice to make how many total quarts of lemonade? quarts cups

Answers

Total cups of lemonade:

6 cups + 5 cups = 11 cups

Total quarts and cups of lemonade:

11 cups ÷ 4 cups = 2 quarts 3 cups

1 quart is 4 cups so 11 cups is 2.75 quarts

Using the example above, the new high way will be a total of 54 miles long. Will the highway be finished in 8 months

Answers

The above problem is incomplete. I have read the whole problem.

Given:
54 miles long highway
5 3/5 miles constructed per month.

Will the highway be finished in 8 months?

5 3/5 ⇒ ((5*5)+3)/5 = 28/5

28/5 * 8/1 = 28*8 / 5*1 = 224/5 = 44.8 miles or 44 4/5 miles

No. The highway can not be finished in 8 months. Only 44.8 miles or 44 4/5 miles will be constructed by that time.

54 ÷ 28/5 = 54 * 5/28 = 54*5 / 28 = 270 / 28 = 9.64 months or 9 18/28 or 9 9/14 months must be spend to complete the highway.

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