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2 years ago

The area of the figure is __ square units

Mathematics

1 answer:

frutty [35]2 years ago

7 0

Answer:

80 square units.

Step-by-step explanation:

4 triangles:

2 x 2 = 4. That's if the triangles were squares. Now divide 4 by 2 and you get 2.

There are 4 triangles, so, 2 x 4 = 8.

Now the 2 rectangles. It's (2 x 6) x 2. 12 x 2, 24.

The large rectangle:

8 x 6 = 48.

Whole figure:

48 + 8 + 24 = 80 square units.

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What is the value of c in the equation y = 4x^2 -10x + c if the y-coordinate of the vertex is -7

love history [14]

Answer: $c=-\frac{3}{4}$

Step-by-step explanation:

Find the x-coordinate of the vertex with this formula:

$x=\frac{-b}{2a}$

In this case:

$a=4\\b=-10$

Substituting values, we get:

$x=\frac{-(-10)}{2(4)}=\frac{5}{4}$

Now we can substitute the coordinates of the vertex into the equation $y = 4x^2 -10x + c$ and then solve for "c".

Then:

$-7 = 4(\frac{5}{4})^2 -10(\frac{5}{4}) + c\\\\-7+\frac{25}{4}=c\\\\c=-\frac{3}{4}$

6 0

2 years ago

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave

USPshnik [31]

Answer:

Julio travel 3 hours by biking and 4 hours by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be $x.$

And the time Julio travel by walking be $y.$

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

$x+y=7$

$y=7-x\ \ \ .......(1)$

So, the distance travelled by bike:

Speed × time

$8\times x=8x$

And, the distance travelled by walking:

Speed × time

$7\times y=7y$

Now, the total distance travelled by Julio:

$8x+7y=52$

Substituting the value of $x$ from equation (1) we get:

$8x+7(7-x)=52$

$8x+49-7x=52\\\\x+49=52$

Subtracting both sides by 49 we get:

$x=3.$

The time Julio travelled with bike = 3 hours.

Now, to get the time Julio travelled by walking by substituting the value of $x$ :

$y=7-x\\\\y=7-3\\\\y=4\ hours.$

The time Julio travelled by walking = 4 hours.

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0

2 years ago

I NEED HELP PLEASE, THANKS! :)

Aleonysh [2.5K]

but where is ur question ??????

5 0

2 years ago

Read 2 more answers

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

diamong [38]

The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C

where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon

For an octagon, the central angle is
C = 360/8 = 45

So,
N = 360 / 45 = 8

Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.

8 0

2 years ago

The cook at the diner has 72 eggs.her recipe says each omelet needs 3 eggs .Does the cook have enough eggs to make 24 order

Anna007 [38]

Answer:

Yes she has just enough

Step-by-step explanation:

3 eggs per each order of omelet

24 orders so 3x24=72

5 0

3 years ago