Find the equations of the lines that pass through the point (4, 5) and are parallel to and perpendicular to the line with equation y + 7x = 5
Parallel: y =
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Perpendicular: y =

9514 1404 393

Answer:

  66

Step-by-step explanation:

Angle D (x°) is the same measure as angle A. The measure of angle A is that required to make the total of angles in ΔABC be 180°.

  ∠A = 180° -61° -53° = 66°

The value of x is 66.

Answer:

x+31°=180°

180°-31°=149°

answer

Answer:

D

Step-by-step explanation:

[tex]-5+2(7b+6)\geq 10b+7(1+11b)\\-5+14b+12\geq 10b+7+77b\\70b\leq 0\\b\leq 0[/tex]

Answer:

It would be 36

Explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

108/1 ×1/3

Applying the fractions formula for multiplication,

=108×1/1×3 = 108/3

Simplifying 108/3, the answer is

=36

hope it helped. :)

Answer:

20/ 11 and if u want it in decimal it's 1.818182

Answer:

v =5÷11×4

v=20÷11=

Step-by-step explanation:

1.82 is your answer may be it is wrong

Answer:

Step-by-step explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).

4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.

A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes.

Given

x + 4y = 10

∴ 4y = -x + 10

∴ y = [tex]\frac{-1}{4} x + \frac{5}{2}[/tex]

so y = 4x + b pass through the point (3, -1)

⇒ -1 = 4 × 3 + b

⇒ -1 = 12 + b

⇒ b = -1 - 12

⇒ b = -13

∴ y = 4x -13

4x - y = 13

Hence, 4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.

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Answer:16

Step-by-step explanation:

Answer:

L=18.1, W=11.0

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

There are total of 5*5 = 25 rectangles on the wall. 17 of these are painted.

17 / 25 = 17*4 / 100

17 * 4 =  68

Answer 68%

Step-by-step explanation:

Answer:

36 questions was answered correctly

Step-by-step explanation:

80 x .45 = 36

Hope this helps

Have a great day :D

Answer:

3.5 inches

Step-by-step explanation:

Height of tallest baby giraffe = 42.75 inches

Height of shortest baby giraffe = 39.25 inches

Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches

Answer:

eight and zero...

Step-by-step explanation:

hope I help

Answer:

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]

Required

Determine the differential equation for the scenario

The variation can be represented as:

[tex]\frac{dP}{dt} \ \alpha\ P[/tex]

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

[tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ kP[/tex]

Substitute values for [tex]\frac{dP}{dt}[/tex] and P

[tex]2\ million = k * 10\ million[/tex]

Make k the subject

[tex]k = \frac{2\ million}{10\ million}[/tex]

[tex]k = \frac{2}{10}[/tex]

[tex]k = \frac{1}{5}[/tex]

Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

Answer:

C

Step-by-step explanation:

Line A is Parallel to Line B

Line C intersects Line A and B

Answer:

line C

Step-by-step explanation:

Answer: They are proportional.

Explanation: To determine whether a table is proportional just simply notice if there is a number you can get to the next number.

Example: on the x values you multiply from left to right by 2 and get the next number. on the y values you multiply by 1. This table is proportional

Answer:

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...

a or d dont read this heiejebdyueneidyebjwow isi ehbr

Answer:

5 hours

Step-by-step explanation:

subtract 390 by 215 to get 175 then divide 175/35 to get 5

Step-by-step explanation:

Coaches are typically sized to a height of 4.38 meters, whereas 'high-bridge' vehicles are usually around 20 centimeters higher. At an average height of 18.65 metres, integrated double-deckers are often permitted .

Answer:

c. t ≤ –3

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

m+m+m = 3m

m+3=m+3

they are not equal

Hope it helps!

Answer:

yes because there is 3 m so m plus 3 is equivalent to it

Step-by-step explanation:

Hey there!

5(2x + 6)

= 5(2x) + 5(6)

= 10x + 30

Answer: 10x + 30 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10x + 30

Step-by-step explanation:

When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.

5(2x) + 5(6)

Then we just multiply

10x + 30

Because we do not know the value of "x" we will leave it like this.

Hope it was helpful ;)

Answer:

o943

Step-by-step explanation:

Answer:

the Y intercept is 6

Step-by-step explanation:

the Y intercept of a linear equation like that equation

any equation formed as: y=mx+b

B of the equation would always be the Y intercept

The y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.

In the equation y = -2x + 6, the y-intercept represents the value of y when x is equal to zero.

To find the y-intercept, we substitute x = 0 into the equation:

y = -2(0) + 6

y = 0 + 6

y = 6

Therefore, the y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.

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Answer:

181.61 centemeters

Step-by-step explanation:

Answer:

181.61

Step-by-step explanation:

Make a proportion:

1 inch = 2,54 cm

71,5 inches = x cm

x = 71,5 * 2,54 = 181,61 cm