All categories

3 years ago

Does the point (-2,-9) satisfy the equation y = 2x - 5

Mathematics

2 answers:

erik [133]3 years ago

3 0

First, substitute.

-9 = 2(-2) - 5
-9 = -4 -5
-9 = -9
Yes, the point (-2, -9) satisfies the equation

Tomtit [17]3 years ago

3 0

$y = 2x - 5 \\ - 9 = 2( - 2) - 5 \\ - 9 = - 4 - 5 \\ - 9 = - 9$
Since, both sides of the equation equal each other, that means it does satisfy this specific equation.

You might be interested in

What is the value of three in 34,525

LUCKY_DIMON [66]

5=ones
2=tens
5=hundreds
4=thousands
3=ten thousands

7 0

4 years ago

constructing a border around a pool a circular pool measures 10 feet across. one cubic yard of concrete is to be used to create

Paha777 [63]

Answer:

We get w = 1.508 feet.

Step-by-step explanation:

Let w be the width of the border.

The diameter of the pool will be 10 feet.

The depth will be 3 inches. So, we will convert it to feet.

3 inches = $\frac{3}{12}=0.25 feet$

The circular area including pool and the border, radius = $(w+5)$

Border area = Total area - pool area

= $\pi (w+5)^{2} -\pi (5)^{2}$

Putting pi = 3.14 and solving the expression we get the following equation:

$3.14w^{2}+31.4w-53.5$

As given one cubic yard of concrete is to be used, this is the volume to be used.

1 cubic yard = 27 cubic feet

Now using the volume given and thickness of this area that is 0.25 feet.

$0.25(3.14w^{2}+31.4w-53.5) =27$

$=> 0.785w^{2}+7.85w-13.375-27= 0$

$=> 0.785w^{2}+ 7.85w-13.625= 0$

Solving this quadratic equation, we get w = 1.508 feet and w = -11.508 feet.

Neglecting the negative value, we get w = 1.508 feet.

3 0

3 years ago

Complete the following invoice for upholstery fabric.

Degger [83]

Answer:

a) $49.48

b) $220921.91

Step-by-step explanation:

(a) 4 yd @ $12.37 per yd = 4 x $12.37 = $49.48

(b) 271 yd @ 815.21 per yd = 271 x $815.21 = $220921.91

(c) 20% yd @ $4.95 per yd : Here the nunber of yards are missing. Hence could not be answer . However if number of yards is x . The answer would be

20% of 4.95x

(20%=0.20)

0.20 × 4.95x

8 0

3 years ago

asal and jovana call a taxi.the taxi driver charges $1.00 flag fall when they get in the car. the charge is then $2.00 for each

marshall27 [118]

They have 23$ and 1$ is needed for when they get in the car. That leaves 22$. It’s 2$ per kilometer so 22/2 is 11.
They can travel 11 kilometers

5 0

3 years ago

Simplify to create an equivalent expression. 2−4(5p+1)

makvit [3.9K]

Answer:

-2-20p OR -20p-2

Step-by-step explanation:

2-4(5p+1)

Rewrite (the spaces can help me to view the different parts):

2 -4(5p + 1)

Distribute:

2 -20p -4

Combine like terms:

-2-20p

Answer:

-2-20p OR -20p-2

3 0

3 years ago

Read 2 more answers