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3 years ago

18 ÷ {[(7 × 2) − (26 ÷ 2)] + 1} =

Mathematics

2 answers:

Aliun [14]3 years ago

8 0

Answer:

Step-by-step explanation:

18 ÷ {[(14) - (13)] + 1}

18 ÷ {1+1} =

18 ÷ 2 = 9

Hope that helps!

fgiga [73]3 years ago

7 0

9 answer is 9 good luck

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A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v

melisa1 [442]

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is $y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line, where $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
$(x_{1},y_{1})$ is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

of point A

∴ x-coordinate of second point = $\frac{125}{100}$ × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

of point A

∴ y-coordinate of second point = $\frac{75}{100}$ × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ $(x_{1},y_{1})$ = (10 , 15)

∵ $(x_{2},y_{2})$ = (12.5 , 11.25)

∴ $m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}$

Now we can write the equation

∵ The point-slope form is $y-y_{1}=m(x-x_{1})$

∵ $m=-\frac{3}{2}$

∵ $(x_{1},y_{1})$ = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = $-\frac{3}{2}$ (x - 10)

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

5 0

3 years ago

Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0

miskamm [114]

Answer:

y=-3x+5

Step-by-step explanation:

it parallel to 3x+y+2=0 => line is: 3x+y+c=0

It through (3;-4) => 3(3)+(-4)+c=0 <=> c=-5

Line is 3x+y-5=0 => y=-3x+5

4 0

3 years ago

Read 2 more answers

X² + y² = 34<br>x + y =8

Nataly [62]

Step-by-step explanation:

${x}^{2} + {y}^{2} = 34 \\ x + y = 8 \\ x = 8 - y \\ substitute \: x \: in \\ {x}^{2} + {y}^{2} = 34 \\ {(8 - 4)}^{2} + {y}^{2} = 34 \\ {(8 - 4) }^{2} = {y}^{2} - 16y + 64 \\ {y}^{2} - 16y + 64 + {y}^{2} = 34 \\ {2y}^{2} - 16y + 64 = 34 \\ {2y}^{2} - 16y + 64 - 34 = 0 \\ {2y}^{2} - 16y + 30 = 0 \\ 2 {y}^{2} - 6y - 10y + 30 = 0 \\ (2 {y}^{2} - 6y) - (10y + 30) = 0 \\ 2y(y - 3) - 10(y - 3) = 0 \\ (2y - 10)(y - 3) \\ 2y = 10 \\ y = \frac{10}{2} \\ y = 5 \\ or \\ y = 3 \\ if \: y = 5 \: \: x = 3 \\ if \: y = 3 \: \: x = 5$

4 0

3 years ago

Need help ASAP !!

aleksley [76]

The missing expression should be for Step 3 is [(25 + 3)/0.5] - 16.4 ÷ 4 and the missing expression should be for Step 6 is 56 - 4.1

<h3>Part A: Explain what the missing expression should be for Step 3</h3>

To do this, we make use of the expression in step 2

The expression in step 2 is

[(5^2 + 3)/0.5] - 16.4 ÷ 4

The next step at this stage is to evaluate the expression 5^2

So, we have:

[(25 + 3)/0.5] - 16.4 ÷ 4

Hence, the missing expression should be for Step 3 is [(25 + 3)/0.5] - 16.4 ÷ 4

<h3>Part B: Explain what the missing expression should be for Step 6.</h3>

To do this, we make use of the expression in step 5

The expression in step 5 is

56 - 16.4 ÷ 4

The next step at this stage is to evaluate the expression 16.4 ÷ 4

So, we have:

56 - 4.1

Hence, the missing expression should be for Step 6 is 56 - 4.1