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Harrizon [31]
2 years ago
13

How to solve for y 3y=2x+15

Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

y = (2x + 15)/3

Step-by-step explanation:

3y = 2x + 15

Divide both sides by 3,

3y/3 = 2x/3 + 15/3

Simplify,

y = (2x + 15)/3

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What is AE ? Enter your answer in the box. units Two segments A D and B C intersect at point E to form two triangles A B E and D
spin [16.1K]

Answer:

The length of AE is 20 units.

Step-by-step explanation:

Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.

we have to find the length of AE

AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD  

In ΔABE and ΔDCE

∠EAB=∠EDC      (∵Alternate angles)

∠EBA=∠ECD      (∵Alternate angles)

By AA similarity, ΔABE ≈ ΔDCE

therefore, \frac{AE}{ED}=\frac{AB}{CD}

⇒ \frac{2x+10}{x+3}=\frac{10}{4}

⇒ 8x+40=10x+30

⇒ x=5

Hence, AE=2x+10=2(5)+10=20 units

The length of AE is 20 units.

5 0
3 years ago
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and
Flura [38]

Answer:

a) cblo

2)$3.44

Step-by-step explanation:

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up equation:

x=cans

y=loaves

4x+3y=11.67\\8x+y=12.89 This is the answer for question A.

Multiply eq1 by 2:

8x+6y=23.34

Subtract eq3 by eq2:

5y=10.45\\y=2.09

Substitute:

8x+2.09=12.89\\8x=10.8\\x=1.35

One can of soup and one loaf of bread=

1.35+2.09 or 3.44

So:

$3.44

Hope this helps :D Please hit the crown if u can !!

6 0
3 years ago
What is the area of this triangle ?
oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}

We need to find the lengths of side DE, EF and FD

Length of side DE = a = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side DE = a = =\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60

Length of side EF = b = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side EF = b = =\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8

Length of side FD = c = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side FD = c = =\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle==\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88

So, area of triangle is 9.88 units^2

4 0
3 years ago
Which point is an x-intercept of the quadratic function<br> f(x) = (x + 6)(x – 3)?
Scilla [17]
Set each factor equal to zero and solve.
x + 6 = 0 x - 3 = 0
x = - 6 x = 3
7 0
3 years ago
Read 2 more answers
i need help with this and i just copy and paste it.Beth's mother made some cookies. She put 4 cookies on each of 8 plates. Which
mr_godi [17]

Answer:

4x8=32

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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