10. Points D, E, and F are non-collinear. How many lines can be drawn that pass through F and are perpendicular
to DE ? Use a diagram to illustrate your answer.

Answer:

x = 7      x= -2

Step-by-step explanation:

x^2 -5x -14 =0

What 2 numbers multiply to -14 and add to -5

-7*2 = -15

-7 +2 = -5

(x-7) (x+2) =0

Using the zero product property

x-7 =0   x+2 = 0

x = 7      x= -2

Answer:

Using the snowflake method, factors that multiply to give -14 and add to give -5 are: 2 and -7.

the factors are: (x+2)(x-7)

Answer:

-1/3

Step-by-step explanation:

slope is rise over run so on this one you had to count down to -2 for the rise and count to 6 then simplify to make -1/3

The slope of the line will be equal to 1 / 3. The correct option is D.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.

The formula to calculate the slope of the line is,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given coordinates of the point passing through the line are (-3,4) and (3,2).

The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 4- 2 ) / ( 3 + 3 )

Slope = 2 / 6

Slope = 1 / 3

Therefore, the slope of the line will be equal to 1 / 3. The correct option is D.

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Answer:

(1, 4)

Step-by-step explanation:

y=x+3

y=3x+1

y=x+3

x+3=3x+1

x=3x-2

-2x=-2

x=1

y=1+3

y=4

Answer:

.18

Step-by-step explanation:

if ^2 is an exponent

(-16t*-16t)+8t+48

(258t+8t)+48

266t+48

48/266

.180

or .18

Answer:

m= -5

Step-by-step explanation:

Answer:

[tex] x = 12 [/tex]

Step-by-step explanation:

x = the quantity to find

This quantity added to ¼ of itself gives 15.

Thus, this problem can be represented as given above:

[tex] x + \frac{1}{4}x = 15 [/tex]

Solve for x

[tex] x + \frac{x}{4} = 15 [/tex]

[tex] \frac{4x + x}{4} = 15 [/tex]

[tex] \frac{5x}{4} = 15 [/tex]

Multiply both sides by 4

[tex] \frac{5x}{4}*4 = 15*4 [/tex]

[tex] 5x = 60 [/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{60}{5} [/tex]

[tex] x = 12 [/tex]

Answer:

B

Step-by-step explanation:

2020 edge

Answer:

ummm its 2x24 because you still gotta add 3

Step-by-step explanation:

Answer:

Dang, It's called m a t h of the w a y

Step-by-step explanation:

It won't let me say the whole thing but yea use it it helps out alot. so yea  Hope this helps :)

Answer:

f4

Step-by-step explanation:

Answer:

$513.75

Step-by-step explanation:

Let h represent the number of hours he worked in a week

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.

Hence, his pay Is represented by equation:

$498.75 + $2.50 × x

If he works 6 hours on the weekend in addition to the 35 hours during the week

$498.75 + $2.50 × 6

= $498.75 + $15

= $513.75

Therefore, he earns $513.75

Answer:

C) 4

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

x = the side of a cubical box

x^3 = 64

But 4^3 also = 64

=> x = 4

Answer:

Volume of a cube = a³

64 = a³

3 root 64 = a

4 cm = a

Answer:

The time period will be ;

10 am to 10 : 52 am

(Then she will catch up at exactly 10:52 am , 30 seconds)

Step-by-step explanation:

In this question, what we simply want to calculate is the amount of time it will take Riko to cover same distance as Yuto.

Mathematically, at any point in time;

Speed = distance/time

Let the time we are looking for be x minutes

At x minutes , Riko will be at a distance of 0.35 * x = 0.35x miles

At x minutes, Yuto will be at a distance of 5.25 miles + 0.25 * x = (5.25 + 0.25x) mikes

Kindly note that, at the time x minutes, the distance covered would have been equal;

Thus;

0.35x = 5.25 + 0.25x

0.35x -0.25x = 5.25

0.1x = 5.25

x = 5.25/0.1

x = 52.5 minutes

Over a time period of 52.5 minutes, Riko will be behind her brother ;

Since Yuto left at 10 am, the time period will be ;

10am to 10:52 am

Answer:

Sample Response: The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.

Step-by-step explanation: Striaght from Egde2020

Answer:

Answer:

- The area of the two bases is 32π in².

- The lateral area is 40π in².

- The total surface area is 72π in².

Step-by-step explanation:

there you go have a good day

Answer:

Approximately $103.37 per day

Step-by-step explanation:

As April has 30 days, we have to add together $523, $2340, and $238 to get the total balance for the entire month. In this case, the total balance is $3101. Now, referring back to April having 30 days, $3101÷30 days=$103.366666666 a day, when rounded to two decimal places, it equals $103.37 a day. So, the account's mean daily balance for April is approximately $103.37 a day.

Hopefully the explanation and the answer helps!

The mean daily balance will be 736.77

Weighted mean is the mean where some of the value contributing more than the other values.

Weighted mean can be calculated by dividing the sum of frequencies and value by the sum of the frequencies.

weighted mean= ∑fₙxₙ/∑fₙ

where f is the frequency and x is the value.

So according to asked question,

in April, balance is in such a way that $523 for 23 days, $2340 for only 4 days, and $238 for only 3 days.

x₁=$523   ,   f₁=23

x₂=$2340   ,   f₂=4

x₃=$238   ,   f₃=3

weighted mean= sum of the product frequency and value/sum of frequency

=  ∑fₙxₙ/∑fₙ

= ((523*23)+(2340*4)+(238*3))/(23+4+3)

=22103/30

=736.7666≅736.77

Therefore the mean daily balance will be $736.77.

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Answer:

Associative property of multiplication.

(a*b)*c = a*(b*c)

Answer:

Associative Property of Multiplication.

Step-by-step explanation:

(a*b)*c = a*(b*c)

Answer:

[tex]y = 32x[/tex]

The rate is 224 ft/s

Step-by-step explanation:

Solving (a):

Given

[tex](x_1,y_1) = (1,32)[/tex]

[tex](x_2,y_2) = (2,64)[/tex]

Required

Determine the linear equation

First, we need to determine the slope using

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{64 - 32}{2 - 1}[/tex]

[tex]m = \frac{32}{1}[/tex]

[tex]m = 32[/tex]

The equation is then calculated using:

[tex]y - y_1= m(x - x_1)[/tex]

[tex]y - 32= 32(x - 1)[/tex]

[tex]y - 32= 32x - 32[/tex]

Add 32 to both sides

[tex]y - 32 + 32= 32x - 32 + 32[/tex]

[tex]y = 32x[/tex]

Solving (b):

Given

[tex]x = 7[/tex]

Required

Determine y

We have that:

[tex]y = 32x[/tex]

Substitute 7 for x

[tex]y=32 * 7[/tex]

[tex]y=224[/tex]

Hence, the rate is 224 ft/s

Answer:

Hypothesis: it is hot

Conclusion: It is July.

Answer:

negitive 8

Step-by-step explanation:

you would have to use a negitive because 12 os higher than 5 and it has to be over 7 or negitive 7

Answer:

9.4

Step-by-step explanation:

3*3.14

Answer:

The prime factorization of 540 is 2, 2, 3, 3, 3, and 5. To find this answer, we can start by extracting the prime number 5 as one of the factors.

Step-by-step explanation:

Answer:

-12x^5-3x^3+18x^2+14

Answer:

The cost price of a radio is Rs 8665

Step-by-step explanation:

There is a relation between the cost price, loss amount, and the selling price.

In the loss, the cost price must be greater than the selling price.

In our question:

The selling price is Rs 7777

The loss is Rs 888

We need to find the cost price

Let us use the rule above

∵ The selling price = Rs 7777

∵ The loss = Rs 888

→ Substitute them in the rule above to find the cost price

∴ The cost price = 7777 + 888

∴ The cost price = 8665

∴ The cost price of a radio is Rs 8665

Answer:

15 houses is the answer

Answer:

Let x be the no.of houses cleaned in 9 hours

3 hours                     5 houses

9 hours                     x houses

Using cross multiplication, you get the formula:

3x = 45

x = 15

Therefore, 15 houses are cleaned in 9 hours.

Answer:

y=-13+9x

Step-by-step explanation:

Answer:

Y=9x-13

Step-by-step explanation:

You put the problem into slooe-intercept form.

Answer:

Your final equation should be y = 25 x + 45

Step-by-step explanation:

    The equation y = m x + b represents any linear equation. the m stands for slope, and the b stands for the y- intercept (when x = 0). To fill in the blanks you need to figure out which piece of information is which.

    Let's start with the y intercept. y, in this equation stands for the cost. And since the y intercept is when x equals zero, you need the cost that doesn't relate to the time the plumber was at the house. That would be the 45 dollar fee you pay the plumber to go to your house.

    Next, let's explain why the 25 dollars represents m (The slope) of this equation. You have to pay the plumber 25 dollars for every hour he spends at your house, so this cost goes up by 25 dollars every hour.

Your final equation should be y = 25 x + 45

you're welcome ;)

Answer:

1.4

Step-by-step explanation:

use distance formula