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3 years ago

ASAP

Mathematics

2 answers:

Ivahew [28]3 years ago

8 0

X+1 because it’s just the sun of x and 1

AVprozaik [17]3 years ago

6 0

Answer:

x + 1

_________________________

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Z is the midpoint of XY<br> XY = 27

Nimfa-mama [501]

X=13.5

Y=13.5

Therefore Z is 13.5

4 0

2 years ago

Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)

pshichka [43]

Option D (The student should have used as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: $y=mx+b$ where m is the slope

Now, for finding equation the student used point slope form i.e $y-y_1=m(x-x_1)$

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

$y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3$

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step $y-5 = 2(x-(-8))$

So, Option D (The student should have used as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul

umka21 [38]

Answer:

The number of calculators is 4871

Step-by-step explanation:

If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

$x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt$

the result of the integration is:

$x=5000(t+\frac{100}{t+10})$ to be evaluated between 3 and 5, which is:

$x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8$

6 0

3 years ago

Jane's favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. C How many cups of pear juice shoul

Gala2k [10]

This question is incomplete

Complete Question

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

a) How much of each juice is needed to make 25 liters of this punch?

b) How much punch can she make if she has only 6 cups of plum juice?

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

Answer:

a)For pear =

12.5 liters

For Pineapple

= 5 liters

For plum

= 7.5 liters

b) 20 cups of punch

c) 10 cups of pear juice

Step-by-step explanation:

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

The total proportion is :

5 + 2 + 3 = 10

a) How much of each juice is needed to make 25 liters of this punch?

For pear =

5/10 × 25 = 12.5 liters

For Pineapple

= 2/10 × 25 = 5 liters

For plum

= 3/10 × 25 = 7.5 liters

b) How much punch can she make if she has only 6 cups of plum juice?

The ratio of plum juice is 3

6 cups / 3 = 2 cups per portion

Since 2 equals 2/3 of 3,

The quantity of pineapple juice = 2/3 of the plum juice

2/3 x 6 cups = 4 cups

Since 5 equals 5/3 of 3, the amount of pear juice amount 5/3 of the plum juuce

5/3 x 6 cups = 10 cups

So, the number of cups are

Pear juice = 10 cups

Pineapple juice = 4 cups

Plum juice 6 cups

Total=( 10 + 4 + 6) = 20 cups of punch

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

10 cups of pear juice can be used to make the quantity of punch in part b

7 0

3 years ago

Solve the inequality for x+9<10

Strike441 [17]

Answer:

x < 1

Step-by-step explanation:

x+9<10

Subtract 9 from each side

x+9-9<10-9

x < 1

7 0

3 years ago