The formula for the area of a trapezoid is A=1/2(b1+b2)h. Solve the equation for b1

Answer:

5/8 yards

Step-by-step explanation:

Amount Used: 3/8 yard

Amount Remaining : 1/4

Amount started with  = Amount Used + Amount Remaining

We need to find the common denominator for 8 and 4.

3/8 stays 3/8, and 1/4 becomes 2/8    (multiply the numerator and                      

                                                                denominator of 1/4 by 2)

3/8 + 2/8 = 5/8

-Chetan K

Answer:

b) 5/8 yard

Step-by-step explanation:

3/8 of the spool is used to make a bow.

She has 1/4 left. 1/4 = 2/8.

2/8 + 3/8 = 5/8

it's probably pretty cold if you ask me;)

Answer:

Step-by-step explanation:

The standard form equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). Rearrange each equation into this format.

1. 3x + 2y = 5

2y = -3x+5

y = -(3/2)x+(5/2)

a. I'll pick 2 values of x to find 2 values of y:

x y

2 -0.5

5 -5

b. The slope is -(3/2)

c. The y-intercept is (5/2)

2. 3y - x = 9

y = (1/3)x + 3

a. Pick 2 values of x to calculate y:

x y

2 3.67

5 4.67

b. The slope is (1/3)

c. The y-intercept is +3

Answer: 3 and 8

Step-by-step explanation:

5 and 6 only apply to line M, 2 and 4 only apply to line M, while 3 and 8 apply to both.

Answer:

x = 5/2cm

Step-by-step explanation:

Because this is a square and each side is equal to each other in length, we can say:

7x + 3 = 5x + 8

We can start rearranging this equation to collect like terms:

7x = 5x + 8 - 3

7x = 5x + 5

7x - 5x = 5

2x = 5

x = 5/2

We can test this out by substituting our new found value for x into the original equation:

7 * (5/2) + 3 = 5 * (5/2) + 8

(35/2) + 3 = (25/2) + 8

I'm going to change the integers (3 and 8) to fractions so the arithmetic is easier, as they'll all have the same denominator.

(35/2) + (6/2) = (25/2) + (16/2)

(41/2) = (41/2)

So as you can see above, with x = 5/2, both sides are equal.

You don't need to put the fractions in brackets; I just do that to make it look a little less messy.

Also, I've only included the units (cm) in the answer. I don't like using units when doing calculations, but your teacher may ask you to perform the calculations using the units throughout.

Answer:

yo can someone answere this i need it to

Step-by-step explanation:

Answer:

a = 3

b = 2

Step-by-step explanation:

Solve 4a - b = 10 for b:

Substitute 4a - 10 for b in 2a + 3b = 12

Substitute 3 for a in b = 4a - 10

Therefore, a = 3 and b = 2.

Answer:

2x+y=7

Put, x=2

2(2)+y=7

4+y=7

y=−4+7

∴y=3.

Step-by-step explanation:

Step-by-step explanation:

slope of AB = y2 -y1/x2 -x1 =14 -(-2)/1-9

= 14 +2 /1 -9

= 16/-8

= -2

slope of CD = -14 -(-10)/8 -6 = -14 +10 /2

-4/2 = -2

since slope of AB = CD

(The lines are parallel to each other)

Answer:

This thermometer shows a temperature of -6 degrees Celsius. If the temperature rises a few degrees and gets very close to 0 degrees without reaching it,

Step-by-step explanation:

hope this helps have a great day :)

Answer:

If it’s up tomorrow I will

Step-by-step explanation:

Answer:

y = 6x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 3 / 1 - 0

6/1

= 6

y = 6x + b

3 = 6(0) + b

3 = 0 + b

3 = b

Answer:

y = 6x+3

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}\\\\= \frac{9-3}{1-0}\\\\= \frac{6}{1}\\\\= 6[/tex]

Hence, the slope is 6.

Substituting the slope value to the equation 'y=mx+c',

y = 6x +c

Substituting (0,3):

3 = 0 + c

c = 3

Hence,

y = 6x + 3

Feel free to mark this as brainliest! :D

(rounded) 9 miles OR 9 1/10 miles

Answer:

24 hours

Step-by-step explanation:

If 12 workers take 10 hours to build a wall, assuming they build at the same rate, it would take one worker 120 hours to build a wall.

By this logic, it would take 120/5 or 24 hours for 5 workers to build a wall

The number of hours 5 men take with the same rate of 12 workers taking 10 hours will be 24 hours.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

The number of hours 1 person take to build the wall = 12 x 10 = 120 hour

Number of men = 5

The number of 5 men will take as 120/5 = 24 hour

Hence "The number of hours 5 men take with the same rate of 12 workers taking 10 hours will be 24 hours".

To learn more about the rate of change here,

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Answer:D) 10 3/8

Step-by-step explanation:

Have a wonderful rest of ur day!!

Answer:

option b

Step-by-step explanation:

you can't take out anything, not an x or a 2

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{PROPERTIES of MATH (of addition)}}\\\\\large\bullet\boxed{\mathsf{\ Commutative \ property: \boxed{\bf x + y = y + x}}}\\\bullet\boxed{\mathsf{\ Identity\ property: \boxed{\bf x + y = x}}}\\\bullet\boxed{\ \mathsf{Associative\ property: \boxed{\bf (x + y) + z = z + (x + y)}}}\\\bullet\boxed{\ \mathsf{Distributive\ property: \boxed{\bf x(y + z) = x\times y + x\times z}}}[/tex]

[tex]\large\boxed{\mathsf{(10 + 1) + 9 = 10 + (1 + 9)}}\\\\\\\large\boxed{\mathsf{(10 + 1) + 9}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\large\boxed{\mathsf{10 + (1 + 9)}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\\\\\huge\boxed{\mathsf{20 = 20}}\huge\checkmark[/tex]

[tex]\huge\boxed{\mathsf{Based\ on\ the\ information\ we \ have\ above\ your}}\\\huge\boxed{\mathsf{answer \ is: \underline{\underline{\bf Associative \ Property}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

here you go

Step-by-step explanation:

Algebra questions and answers. Write an equation of the line that passes through (4,5) and is parallel to the line defined by 4x+y=-2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

[tex]\\ \sf\longmapsto 2cosx-\sqrt{2}=0[/tex]

[tex]\\ \sf\longmapsto 2cosx=\sqrt{2}[/tex]

[tex]\\ \sf\longmapsto cosx=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\\ \sf\longmapsto cosx=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto x=cos^{-1}\left(\dfrac{1}{\sqrt{2}}\right)[/tex]

[tex]\\ \sf\longmapsto x=60[/tex]

Answer:

d=30°

e=117°

f=66°

Answer:

E: 117

D: 30

F: 33

Step-by-step explanation:

360-117-117-30-30=66

66 divide by 2 = 33

Answer:

y = -6x^2 + 15x -5

Step-by-step explanation:

equation step 1 for parabola

y2-y1 /x2-x1

= 1 - 4 / 0 - - 1

= -3 / 1

y = -3

We try again different points  

y2-y1 / x2-x1

= 7 - 1 / 2 - 0

= 6 / 2

y = 3

we can see that one side is descending and 1 side is ascending

The start of the parabola is 0,1 as x = 0 and crosses the line.

we try again

y2-y1 /x2-x1

7-1 / 2-0

= 6 / 2

y = 3

You should know that a parabola is determined by 3 points, so unless your points happen to be collinear, they will determine a parabola. A straight forward, if not always the easiest way would be to take the general equation

y = ax^2 + bx + c

plug in each point, eg.y = y1   and x = x1   eg) y = y2 and x = y2   eg) y = y3 x=x3

Top equation re-used last see at end.

4 = a(-1)^2  + b(-1 ) + c  = a+b+c=4

1  = a(0)^2 +b(0) + c = c =1

7 = a(2)^2 + b(2) + c = 4a+2b=7

a= -1-0 = -1   b = -1-0 = -1  and 4-1 = 3

-a +-b = 3

2nd set of equations

4a-0a = 4a

2b-0b = 2b

7-1 = 6

4a +2b=6  and previous

-a +-b = 3  here we can multiply by -2 to get 2b equality to 1st equation

2a + 2b = -6

4a + 2b = 6

2a = -12

2a = -12 / 2

a = -6

plug a

4(-6) + 2b = 6

-24 + 2b = 6

2b = 6 +24

2b = 30

b = 15

then put a + b+ c into top equation

(-6) + (15) + c = 4

9 + 0  = 4

9 -9 = 4 -9   cancel

c = -5

Then put into first equation as c and complete equation

To find that;

y = -6x^2 + 15x -5   =   is our equation of the parabola.

This is how to solve your two linear equations in three unknowns.

The equation of parabola passing through (-1, 4), (0, 1), and (2, 7) is y = 2x² - x + 1.

To find equation of parabola that passes through the given points, we use the general-form of quadratic equation: y = ax² + bx + c.

Since we have three points, we substitute the coordinates of each point into the equation to create a system of equations. Solve for a, b, and c:

Substitute (-1, 4), We get,

4 = a(-1)² + b(-1) + c,

4 = a - b + c,

Next, Substitute (0, 1):

1 = a(0)² + b(0) + c

1 = c

Next, Substitute (2, 7):

7 = a(2)² + b(2) + c

7 = 4a + 2b + c

Now, we have a system of equations:

a - b + c = 4          ...equation(1)

c = 1                      ...equation(2)

4a + 2b + c = 7     ...equation(3)

From equation(2), we know that c = 1. Substituting this into equation(1) and 3, we get,

a - b + 1 = 4

4a + 2b + 1 = 7

Solve equation(1) for a - b:

We get, a - b = 3,

Solve equation(3) for 4a + 2b:

4a + 2b = 6

Now we have a system-of-equations as :

a - b = 3

4a + 2b = 6

Solving the system for "a" and "b", We get,

a = 2; b = -1

Now we can write the equation of the parabola:

y = ax² + bx + c  ⇒  y = 2x² - x + 1,

Therefore, the required equation of parabola is y = 2x² - x + 1.

Learn more about Parabola here

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The number of days passed to have an accumulated heartbeat of 504,000 is the ratio of the total heartbeat and the number of beat per minute ; Hence, the number of days is 5 days

Number of heartbeats per day = 70 × (24 × 60) = 100,800 beats

Number of days = (504,000) ÷ (100,800) = 5days

Therefore, the Number of days elapsed is 5 days.

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Answer:

Check picture

Step-by-step explanation:

Sorry that this is long, but hopefully this has the answers and explanations you are looking for. Have a nice day!

1a: P' (0, 1) Q' (9, 7)

First, we will look at point P. It is at (-7, -2). If we move it up three and right 7, we will do (-7 +7, -2 +3) which gives us (0, 1). We do the same for Q, (2, 4) -> (2+7, 4 +3) = (9, 7)

2a: This transformation represents the point being moved down 5 units and to the right 2 units. X is left/right and it's being moved positive two, hence right 2. Y is up/down, and it's being moved negative 5, hence down 5.

2b: (4, -3) (not 100% sure on this one)

The wording slightly confused me, but if it's talking about having point A be apart of 2a, here is what we do:

(2, 2) -> (2 + 2, 2 - 5) -> (4, -3)

3a: (x - 26, y + 17)

So (in the y) -13 becomes 4, so it moves 17 units up. For the x, -2 becomes -28, so it is moved 26 units down. This becomes x - 26 and y + 17, which is written correctly above.

3b: A. AP and A'P' have different locations

For a translation shape, size, and direction doesn't change, just where it's at (location).