Question
2x + 3y = 11
x – 3y =1
What is the solution (x, y) to the given system of equations?
O (4,0)
O (4,1)
O (12,8)
O (12, 10)

OPTION B is the correct answer.

Hope it helps you...

Answer:

option B

Step-by-step explanation:

[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]

in multiplication if base are same u can add their power (exponent)

[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]

here since the denominator of the fraction in exponent are same u can add or subtract their numerator.

[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]

note: any base with the power 0 is always considered as one.

Answer:

x² + 7x - 4 = 0

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 ( a ≠ 0 )

Given

- 7x + 4 = x² ( subtract - 7x + 4 from both sides )

0 = x² + 7x - 4 , that is

x² + 7x - 4 = 0 ← in standard form

Answer:

y>2/1+-4

Step-by-step explanation:

y> because it's shaded over and since it's not dashes it needs the underline

2/1 because it's goes to the left twice and up once

-4 because that's where it starts

Answer:

x<−3

Step-by-step explanation:

hope this works

Answer:

x =55 degrees

y = 35 degrees

Step-by-step explanation:

We know that the distance from the center of the circle to the circumference is the radius

that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same

Let us call one of the angles z

we know that the sum of the angles in a triangle is 180 degrees

That simply means;

80 + 2z = 180

2z = 180-80

2z = 100

z = 100/2

z = 50 degrees

So the angles at each upper end of the cyclic quadrilateral are;

x + 50 and y + 50

we know that the angles that face each other in a cyclic quadrilateral are supplementary

Thus;

95 + y+ 50 = 180

y= 180-95-50

y= 180-145

y = 35 degrees

Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50

Thus;

x + 50 = 105

x= 105-50

x = 55 degrees

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

Answer:

2 times larger

Step-by-step explanation:

Area of a rectangle = length x width

assume width = 10

older area = 44 x 10 = 440

new area

length = 44 x 2 = 88

88 x 10 = 880

change in area = 880 / 440 = 2

Answer:

- 2/5

Step-by-step explanation:

(3/5 + 1/5) + (4/5 - 2/5) = 6/5

6/5 - (9/5-1/5) = - 2 /5

Answer:

Options A and E

Step-by-step explanation:

Isosceles triangle → Two sides and opposite angles of the equal sides will be equal

In the given triangle measure of all sides are different.

Therefore, it's not an isosceles triangle.

Equilateral triangle → All sides and opposite angles are equal.

Given triangle is not an equilateral triangle.

Scalene triangle → All sides and angles are different in measure.

It's an scalene triangle.

Since, one angle of the triangle is a right triangle, it's a right triangle.

Option A and E are the correct options.

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

=======================================================

Explanation:

We use the cosine ratio here. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(69) = x/10

10*cos(69) = x

x = 10*cos(69)

x = 3.583679495453 which is approximate

x = 3.6

Answer:

the 9th term would be  -15

Step-by-step explanation:

Answer:

$519

Step-by-step explanation:

Given the amount of profit made expressed as y=-2x^2+105x-859

At maximum profit, dy/dx = 0

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Substitute into the original function

y=-2x^2+105x-859

y=-2(26.25)^2+105(26.25)-859

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519

Answer:

519

Step-by-step explanation:

just took the question

Answer:

yes

Step-by-step explanation:

both angels are the same and that means that the length of the parallel sides are also the same

Answer:

it would probably be around 1.8 or either 1.7

Answer:

Step-by-step explanation:

1)

1.

2.

It has 4 imaginary roots and no real roots

2)

1.

2.

It has 4 imaginary roots and no real roots

#1

First

second

4complex roots

#2

first

Second

4 complex roots

Answer:

[tex]Q_3 = 64[/tex]

Step-by-step explanation:

Given

Box of a box plot with the range: 60 - 64

Required

The upper quartile

To do this, we simply identify the endpoint of the range

Given that the range of the box is 60 to 64.

We have:

[tex]Start = 60[/tex]

[tex]End = 64[/tex]

Hence:

[tex]Q_3 = 64[/tex]

Answer:

True

Step-by-step explanation:

Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.

* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs

Hope this helps :) Brainliest would be appreciated XD

Answer:

no

Step-by-step explanation:

First determine the discount

11.95 * 15%

11.95 *.15

1.79

Subtract the discount

11.95-1.79

10.16

You do not have enough money with a 10 dollar bill

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

Answer:

7 1/2 miles per half hour

Step-by-step explanation:

First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.

I hope this helped :)

(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)

Answer: [tex]1\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The equation in terms of a is

[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]

Answer:

the answer is true.

4/6

10/15

Answer:

63 inches tall.

Step-by-step explanation:

60 + 3 = 63.

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

Answer:

Step-by-step explanation:

Given Question,

2x - 7

Given Value:

[tex]x = \frac{1}{2} [/tex]

Solution,

[tex]2( \frac{1}{2} ) - 7[/tex]

[tex] = 2 \times \frac{1}{2} - 7[/tex]

= 1 - 7

= - 6 (Ans)