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seropon [69]
3 years ago
12

Omg someone PLEASE help

Mathematics
1 answer:
zheka24 [161]3 years ago
3 0
1. we can add them to eliminate y's

3x-4y=-16
<u>-x+4y=24 +</u>
2x+0y=8

2x=8
divide by 2
x=4

sub back
-x+4y=24
-4+4y=24
add 4 both sides
4y=28
divide by 4
y=7

(x,y)
(4,7)




3.
add them to eliminate y's

-5x+3y=12
<u>-2x-3y=-33 +</u>
-7x+0y=-21

-7x=-21
divide both sides by -7
x=3

sub back
-2x-3y=-33
-6-3y=-33
add 6 to both sides
-3y=-27
divide both sides by -3
y=9

(x,y)
(3,9)




1. (4,7)
3. (3,9)
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as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y
kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

substitute in the formula

d=\sqrt{(5-2)^{2}+(2-0)^{2}}

d=\sqrt{(3)^{2}+(2)^{2}}

dAB=\sqrt{13}\ units

step 2

Find the distance BC

substitute in the formula

d=\sqrt{(7-5)^{2}+(-1-2)^{2}}

d=\sqrt{(2)^{2}+(-3)^{2}}

dBC=\sqrt{13}\ units

step 3

Find the distance AC

substitute in the formula

d=\sqrt{(7-2)^{2}+(-1-0)^{2}}

d=\sqrt{(5)^{2}+(-1)^{2}}

dAC=\sqrt{26}\ units

step 4

Compare the length sides

dAB=\sqrt{13}\ units

dBC=\sqrt{13}\ units

dAC=\sqrt{26}\ units

dAB=dBC

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

(AC)^{2} =(AB)^{2}+(BC)^{2}

substitute

(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}

26=13+13

26=26 -----> is true

therefore

Is an isosceles right triangle

8 0
3 years ago
Express in seconds.<br><br> 30"<br> 45"<br> 50"
Rus_ich [418]

Answer:

45"

Step-by-step explanation:

(3/4 x 60 )"

=45"

8 0
3 years ago
Lily ran 100 meters in 15 seconds. How long did she take to run 2 meters
denis23 [38]
.15 seconds because I said
7 0
3 years ago
Read 2 more answers
The width of a rectangle is 4x - 4.25 feet and the length is 7x + 7 feet. Write and
xz_007 [3.2K]

Perimeter is 2l+2w in the case of a rectangle, so you would write:

2(4x - 4.25) + 2(7x +7)

7 0
3 years ago
Read 2 more answers
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