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3 years ago

I need help with the questions circled, please help!1!

Mathematics

1 answer:

erastova [34]3 years ago

6 0

see attached picture for answers

couldn't see the whole equation for 29 though.

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6x - 2y = 5

laiz [17]

Answer:

The given system has NO SOLUTION.

Step-by-step explanation:

Here, the given system of equation is:

6 x - 2 y = 5 .......... (1)

3 x - y = 10 .... (2)

Multiply equation 2 with (-2), we get:

3 x - y = 10 ( x -2)

⇒ - 6 x + 2 y = - 20

Now, ADD this to equation (1) , we get:

6 x - 2 y - 6 x + 2 y = 5 - 20

or, 0 = - 15

WHICH IS NOT POSSIBLE as 0 ≠ -15

Hence, the given system has NO SOLUTION.

7 0

2 years ago

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

Find the area of the figure ABC

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

Find the area of the semicircle

The area of the semicircle is equal to

$A2=\pi r^{2}/2$

we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

5 0

3 years ago

Can someone please help me answer this?

Lina20 [59]

DEF = BAC : x = 15 <==

once u allign ur triangles, u will see that there is a scale factor of 1.5.
6 * 1.5 = 9

1.5(x - 5) = 15
1.5x - 7.5 = 15
1.5x = 15 + 7.5
1.5x = 22.5
x = 22.5/1.5
x = 15 <==

6 0

3 years ago

How do you do this? -5x+y=-3 3x-8y=24

Katena32 [7]

$-5x+y=-3 \ \ \ |\times 8 \\
3x-8y=24 \\ \\
-40x+8y=-24 \\
\underline{3x-8y=24 \ \ \ \ \ \ \ } \\
-40x+3x=24-24 \\
-37x=0 \ \ \ |\div (-37) \\
x=0 \\ \\
3x-8y=24 \\
3 \times 0 -8y=24 \\
-8y=24 \ \ \ |\div (-8) \\
y=-3 \\ \\
\boxed{(x,y)=(0,-3)}$

6 0

2 years ago

Read 2 more answers

Jesse ate 100 donuts in five days. Each day 6 more donuts than the day before. How many donuts did she eat each day?

rusak2 [61]

Answer:

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

Step-by-step explanation:

Over the course of 5 days, she ate 100 donuts, each day eating 6 more than the day before. Let n be the number of donuts she ate on the first day, then she ate...

Day 1: n donuts

Day 2: n + 6 donuts

Day 3: n + 12 donuts

Day 4: n + 18 donuts

Day 5: n + 24 donuts

Add the days together and get the equation...

n + (n + 6) + (n + 12) + (n + 18) + (n + 24) = 100

Now combine like terms and solve for n...

5n + 60 = 100

5n = 40

n = 8

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

6 0

3 years ago