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2 years ago

May I please get help

Mathematics

2 answers:

Zielflug [23.3K]2 years ago

5 0

Answer:

Step-by-step explanation:

Fofino [41]2 years ago

4 0

To find the slope of a line, you do y2-y1 divided by x2-x1
So in this case you do 13-4/8-2 which is 3/2 so the fourth option ;)

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If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed

Musya8 [376]

Answer:

17.6 minutes

Step-by-step explanation:

$\frac{4}{5} = \frac{x}{22}$

$5x=22$

$x=\frac{22}{5}$

$4(\frac{22}{5} ) = \frac{88}{5} = 17.6$

5 0

2 years ago

Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

2 years ago

Water is being drained at a constant rate from a tank.

saw5 [17]

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

3 0

2 years ago

Which expression is equivalent to (2x²y) ³?<br> O 2x¹y4<br> 2x¹2y3<br> 8x¹ y<br> O 8x¹2y³

natta225 [31]

Answer: $8x^6 y^3$

Step-by-step explanation:

See attached image.

7 0

1 year ago

Write the equation of a line that includes the point (22, 12) and

STatiana [176]

Let's start with y = 4x + b (since 4 is the slope);

We need to find what number should be put instead of b;

Then, let's see what needs to be done;

Plug in the y and x values from the coordinate (22,12) into y=4x+b;

12 = 4(22) + b

Solve;

12 = 88 + b

12 - 88 = b

b = -76

Remember the equation y = 4x + b? Put the -76 instead of b:

y = 4x + -76

or: y = 4x - 76

That is the equation.

To make it standard form, put x and y both in the left side, with x first then y:

-4x + y = -76

^^Answer!

7 0

2 years ago