a) Find the value of 2x + y when x = 4 and y = 3

b) Find the value of a^2 + b when a = -2 and b = 5

Answer:

The absolute value function:

f(x) = |x|

is defined as:

f(x) = x              if x ≥ 0

f(x) = -x             if x < 0.

Then, knowing that the elevation of the diver is -380 ft

We can write the absolute value of the distance as:

|-380ft| = -(-380ft) = 380ft

This means that the diver is at a distance of 380 ft from sea level. (And because we know that the sign is negative, we can conclude that he is 380ft below sea level).

Answer:

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

[tex]\longrightarrow[/tex] 90° + (4x + 10)° + (2x + 26)° = 180°

[tex]\longrightarrow[/tex] 126° + 6x = 180°

[tex]\longrightarrow[/tex] 6x = 180° - 126°

[tex]\longrightarrow[/tex] 6x = 54°

[tex]\longrightarrow[/tex] x = 9

Angles =

[tex]\longrightarrow[/tex] 4(9) + 10

[tex]\longrightarrow[/tex] 46°

[tex]\longrightarrow[/tex] 2(9) + 26

[tex]\longrightarrow[/tex] 44°

The angles are 46°, 90° and 44°.

Answer:

your new grade is 88%

follow me also

Step-by-step explanation:

Let V be the volume of the cone.

The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.

If diameter is 4 inch, radius = 2 inch

Volume of the cone,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] .......(1)

If radius, r = 2 inch

New volume,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] ....(2)

We can see that the volume in both case is same. Hence, the student is correct.

Answer:

The circumference of a circle

Step-by-step explanation:

Hope this helped you out :)

Answer:

2π r is how you find the circumference of a circle so the answer is the second option .

Answer:

Y remains unchanged because y is still 7.

Answer:

1.   20 - 2 x

3.  -7 x - 21

5.   5 - 15 x

7.    20 x - 50

9.   1 - 4 x

11.   18 x - 8

13.   24 x + 36

Step-by-step explanation:

Answer:

B ) P 215 V 235

Peter 35×5=175+40=215

Veronica 35×5=175+60=235

Answer:

Step-by-step explanation:

Numbers 1 and 4 are perimeter questions so all you do is add up all the sides and the label is cm. For #2, this is an area problem and the area for a rectangle is length times width, so multiply the 2 together and the label is inches squared. For #3, the volume formula for a cube is side*side*side and the label for this is feet cubed. For #5, the area for a triangle is .5 times the base times the height, and the label is mm-squared. That should help you get all the answers on your wn. Very, very simple.

Answer:

Yes, it is better.

Step-by-step explanation:

3 oz. = $0.75

multiply each by 4

12 oz. = $3

Answer:

NO

Step-by-step explanation:

(4) 3oz bags are 12 ounces

0.75 * 4 = $3.00

So the 12 oz bag is not a good buy.

Answer:

you would be..80

Step-by-step explanation:

All you have to do is an addition equation

60 + 20 = 80

Answer:

x = 10

Step-by-step explanation:

2x = 20°

x = 20/2

x =10

Answer:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 = 1

10 = 1

01 = 0

It is a puzzle.  It just take the term on the left side of the two digits.

Example : 24 = 2

               36 = 3

               49 = 4

Answer:

4/18

Step-by-step explanation:

Answer:

What is the value of x, if the area of ΔABC is 12√3 square cm ...

Step-by-step explanation:

maybe this link  helps you

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=mx+b[/tex]

We're given that the slope of the line is 1. Plug this into the above equation

[tex]y=1x+b\\y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in the given point (-7,-7)

[tex]-7=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]-7+7=-7+b+7\\0=b[/tex]

Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]

[tex]y=x+0\\y=x[/tex]

I hope this helps!

Answer:

Median is 6

hope it helps u!!! have a great day ahead..

Answer:

6

Step-by-step explanation:

because a median means. the number located at the centre of of the Patten

Answer:

The number is 24

Step-by-step explanation:

1/6x + 3/8x = 13

4/24x + 9/24x =13

13/24x = 13

13x=312

x=24

Answer:

lol huh...

Step-by-step explanation:

Answer:

The solution is given below.

Step-by-step explanation:

Given that

a) 7.9 ÷ 1000

b ) 26.3 ÷ 1000

c) 38.53 ÷ 1000

We need to find out their answers

So,

for a)

= 7.9 ÷ 1000

= 0.0079

b)

= 26.3 ÷ 1000

= 0.0263

c)

= 38.53 ÷ 1000

= 0.03853

Basically we divided the number and it comes in decimal form

Answer:

[tex]\frac{3}{5} X\frac{5}{3}[/tex] is greater than [tex]\frac{3}{5}[/tex]

Answer: [tex]40h[/tex]

Step-by-step explanation:

Given

Speed of car is [tex]40\ mph[/tex]

We know, distance is given by

[tex]\text{Distance=}\text{speed}\times \text{time}[/tex]

Let h represents the number of hours

So, the distance traveled with speed [tex]40\ mph[/tex] in 'h' hours

[tex]\Rightarrow d=40\times h\\\Rightarrow d=40h[/tex]

So, the expression is given by [tex]40h[/tex]

Answer:

8400 cents

Step-by-step explanation:

SI=P×T×R

100

300×4×7

100

=$84

=8400 cents

Answer:

$396.94

Step-by-step explanation:

formula:

[tex]PV*e^{rt}\\300*e^{.07*4}=396.938943701[/tex]

which rounds to 396.94

Answer:

268.32yd^3

Step-by-step explanation:

Answer:

268.32yd^3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Edge 2021

The point justifies the shaded area is (1, 1).

Thus, the standard equation of an ellipse is x²/ a² + y²/ b² = 1.

This equation defines an ellipse centered at the origin. If a > b , the ellipse is stretched further in the horizontal direction, and if b > a , the ellipse is stretched further in the vertical direction.

Given:

x²/ 16 + y²/ 4 ≤ 1

As, the given equation is in the form of an ellipse is x²/ a² + y²/ b² = 1.

Now, when we plot the Equation in the graph we get the elliptical shape.

From the given point the point which lies inside the graph is (1, 1).

Learn more about Equation of Ellipse here:

https://brainly.com/question/28028155

#SPJ6

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12