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3 years ago

9. A line has a slope of zero. Which of the

Mathematics

2 answers:

quester [9]3 years ago

6 0

Answer is B, -6 - -6 = 0 7-3=4 0/4 =0

A’s slope has no meaning

C’s slope is 1

D’s slope is -14/-18

guapka [62]3 years ago

5 0

Answer:

Answer is option B.

B. (3,-6) and (7,-6)

Step-by-step explanation:

Slope = change in y / change in x

Slope = (y2-y1)/(x2-x1)

For slope to be zero. i.e

0 = (y2-y1)/(x2-x1)

Cross multiple

0*(x2-x1) = (y2-y1)

(y2-y1) = 0.

Implies that slope of a line will be zero when change is y is zero.

So let examine all the line points in our options to determine our answer.

A. (12, 9) and (12,6)

(y2-y1) = 6 - 9 = -3

B. (3,-6) and (7,-6)

(y2-y1) = -6 - (-6) = -6+6 = 0

C. (1,4) and (2,5)

(y2-y1) = 5 - 4 = 1

D. (-9,7) and (9,-7)

(y2-y1) = -7 - 7 = -14

Haven examine our option, we see that our change in y is zero for option B, therefore at point (3,-6) and (7,-6) the slope is zero

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Please help. <br><br> Solve 5x + 7 > 17.

valentina_108 [34]

Answer:

$\large\boxed{\{x\ |\ x>2\}}$

Step-by-step explanation:

$5x+7>17\qquad\text{subtract 7 from both sides}\\\\5x+7-7>17-7\\\\5x>10\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{10}{5}\\\\x>2$

5 0

3 years ago

Read 2 more answers

Pedro and Carmela are cleaning their kitchen. It takes Pedro 3 hours to clean the kitchen by himself, while Carmela can clean th

Igoryamba

Answer:

Step-by-step explanation:

Here, we want to choose the equation representing the time it will take if they worked together

Let the amount of tasks to be done be t

pedro will work at a rate of t/3

Camela will take t/2

So the joint rate will be

t/2 + t/3

This joint rate will be equal to 1

Thus, we have

t/2 + t/3 = 1

5 0

2 years ago

6 children and 2 adults are going to the circus, children tickets are on sale, half the price of adult tickets totaling $54. How

inna [77]

Answer:

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

Step-by-step explanation:

Given:-

6 children and 2 adults are going for circus.

Children ticket is half the price of adult ticket.

Total ticketing cost =$54

To find:-

Cost of 1 child ticket=?

Cost of 1 Adult ticket=?

Solution:-

Let price of 1 child ticket be x and price of 1 adult ticket be y,

therefore from the given data we get 2 equations,

$6x+2y=54$ -----------------------------------(1)

$x=\frac{1}{2} y$ --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

$6x+2y=54$

$6(\frac{1}{2} y)+2y=54$

$\frac{6}{2}y+2y=54$

$3y+2y=54$

$5y=54$

$\therefore y=\frac{54}{5}$

$\therefore y =10.8$ ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

$x=\frac{1}{2} y$

$\therefore x=\frac{1}{2} \times 10.8$ ------------(from equation 3)

$\therefore x=\frac{10.8}{2}$

$\therefore x=5.4$ ----------------------(4)

As, x is price of 1 child ticket and y is price of 1 adult ticket,

Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8

7 0

3 years ago

a high school track teams long jump record is 21 feet and 2 1/4 inches. this year Tims best long jump is 20 feet and 9 1/2 inche

Alex787 [66]

Answer:

4.75 inches.

Step-by-step explanation:

We must introduce the symbols for inches and feet.

Here we will use, x' = x feet and x" = x inches

A high school track teams long jump record is 21 feet and $2\dfrac{1}{4}$ inches i.e. 21'2.25" this year.

Now, Tim's best long jump is 20 feet and $9\dfrac{1}{2}$ inches i.e. 20'9.5".

So, the difference between the record jump and Tim's best jump is

(21'2.25" - 20'9.5")

= (21'2.25" - 21') + (21' - 20'9.5")

= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}

= 4.75"

Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)

3 0

2 years ago

There are 127 lbs of fruits in the store: apples, oranges, and peaches. There are four times as many apples as there are peaches

Pepsi [2]

Let
x------> amount of pounds of apples
y------> amount of pounds of oranges
z-----> amount of pounds of peaches

we know that
x+y+z=127------> equation 1
x=4z-----> equation 2
y=7+z----> equation 3

substitute equation 2 and equation 3 in equation 1
x+y+z=127----> (4z)+(7+z)+z=127---> 6z=127-7---> 6z=120----> z=20 lb
x=4z---> x=4*20----> x=80 lb
y=7+z----> y=7+20---> y=27 lb

amount of pounds of apples----> 80 lb
amount of pounds of oranges----> 27 lb
amount of pounds of peaches---> 20 lb

4 0

3 years ago