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3 years ago

3-5b=-32 Please help!

Mathematics

2 answers:

Inessa05 [86]3 years ago

7 0

Answer:

b=7

Step-by-step explanation:

3-5b=-32

-5b=-32-3

-5b=-35

Divide both sides by -5

b=7

Nikitich [7]3 years ago

4 0

Wouldn’t the answer be 7 because (5)(7)=35 and 3-35=-32

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choli [55]

Hello from MrBillDoesMath!

Answer:

x = 0, 7

Discussion:

f(g(x)) =

f ( x^2-7x) =

1/ ( x^2 - 7x)

The points NOT in the domain are those where the denominator, x^2 - 7x = 0.

x^2 - 7x = 0 => factor x from each term

x(x-7) = 0 => one or both terms must each 0

x = 0 or x =7

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3 years ago

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Nostrana [21]

Answer:

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Step-by-step explanation:

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3 years ago

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State whether the following coordinates on a Cartesian plane form an acute, obtuse or right triangle: a) (-1, 1), (7,-2) and (1,

LiRa [457]

Answer:

a) Acute triangle

b) Right triangle

Step-by-step explanation:

∵ A triangle having sides a, b and c is called,

Acute : If a² + b² > c² or a² + c² > b² or b² + c² > a²,

Obtuse : if a² + b² < c² or a² + c² < b² or b² + c² < a²

Right : a² + b² = c² or a² + c² = b² or b² + c² = a²,

a) Let A≡(-1, 1), B≡(7,-2) and C≡(1,-5),

By the distance formula,

$AB=\sqrt{(7-(-1))^2+(-2-1)^2}=\sqrt{(7+1)^2+(-3)^2}=\sqrt{8^2+3^2}=\sqrt{64+9}=\sqrt{73}\text{ unit}$

Similarly,

$BC=\sqrt{45}\text{ unit}$

$CA=\sqrt{40}\text{ unit}$

∵ The sum of any two sides is greater than third side,

So, ABC is a triangle,

Now,

$AB^2 + BC^2 > CA^2$

⇒ ABC is an acute triangle.

b) Let P≡(0,6), Q≡(1,2) and R≡(5,3),

By the distance formula,

PQ = √17 unit,

QR = √17 unit,

RP = √34 unit,

∵ The sum of any two sides of PQR is greater than third side,

⇒ PQR is a triangle ,

Also,

$RP^2=PQ^2+QR^2$

Hence, PQR is a right triangle.

3 0

3 years ago

Rob and Amy each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Rob sp

Lemur [1.5K]

Answer:

The correct answer is that a rose bush costs $10 and a shrub costs $4

Step-by-step explanation:

To solve this, start by writing equations for what each spent. Use x for the cost of a rose bush and y for the cost of a shrub. Below would be the equations for each.

Rob: 8x + 5y = 100

Amy: 8x + 8y = 112

Now to find the cost, we multiply Rob's equation by -1 and add them together. This will get x to cancel and allow us to solve for y.

-8x - 5y = -100

8x + 8y = 112

------------------

3y = 12

y = 4

So we know the cost of a shrub is $4. Now we can plug that in to either of the original equations and solve for the rose bush cost.

8x + 5y = 100

8x + 5(4) = 100

8x + 20 = 100

8x = 80

x = 10

Which means that a rose bush costs $10.

3 0

3 years ago

Can you help me please

Darya [45]

Answer:

437.3 ft

Step-by-step explanation:

By sine rule:

$\frac{x}{ \sin(90 - 29) \degree} = \frac{500}{ \sin \: 90 \degree} \\ \\ \frac{x}{ \sin 61 \degree} = \frac{500}{1} \\ \\ x = 500\sin 61 \degree \\ \\ x = 500 \times 0.8746197071 \\ \\ x = 437.309854 \\ \\ x = 437.3 \: ft$

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3 years ago

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