1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Damm [24]
3 years ago
8

Y= 4x + 1

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
Solve one of the equations for x.
y = 4x + 1
y-1 = 4x
(y-1)/4 = x

Next, plug in this expression in the place of “x” in the previous expression
y = 2x - 5
y = 2((y-1)/4) -5
y = 1/2y - 11/2
1/2 y = - 11/2
y = -11
You might be interested in
Which biconditional is NOT a good definition? A. Two line segments are congruent if and only if they are of same length. B. An a
Natasha2012 [34]
The answer is C, because 2 shapes can have the same area, but that doesn't necessarily mean they're congruent. 
8 0
3 years ago
Read 2 more answers
By rounding to 1 significant figure, estimate<br> 6.4 x 7.35
densk [106]

Answer:

6.4 x 7.4 =47.36

Step-by-step explanation:

7.35 rounded will be 7.4

5 0
3 years ago
Read 2 more answers
I need ASAP please help me
Colt1911 [192]

Answer:

5006 is and 4896

Step-by-step explanation:

math is the best letsgoooo

5 0
1 year ago
19. Describe the sequence of transformations from quadrilateral WXYZ to W"X"Y"Z"
Tpy6a [65]

Answer:

The sequence is as following:

1. Reflection 180°

2. Reflection over the line x=5  

3. Translation 2 units down.

Step-by-step explanation:

The question is as following:

Describe the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.

The picture is a coordinate plane with

W= (-8,8)

X= (-2,8)

Y= (-2,4)

Z= (-8,4)

W”= (2,-10)

X”= (8,-10)

Y”= (8,-6)

Z”= (2,-6)

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

See the attached figure

The sequence is:

Reflection 180° ⇒ Reflection over the line x=5 ⇒ translation 2 units down.

Rule of reflection 180° is (x, y) → (–x, –y)

Rule of reflection over the line x=5 is (x, y) → (–x+10 , y)

Rule of translation 2 units down is (x, y) → (x , y–2)

The way of thinking:

1. The rectangle at the second quadrant, we need make it at the fourth quadrant, so, the suitable is <u>Reflection 180°</u>

2. After reflection 180°, it is noticed that we need reverse the vertices so we need to make a reflection over its vertical axis which is at <u>x = 5</u>

3. We need to translate it 2 units down to overlap with the required coordinates.

<u>Check the points:</u>

W(-8,8) ⇒ (8,-8) ⇒ (2,-8) ⇒ (2,-10)⇒W"

X(-2,8) ⇒ (2,-8) ⇒ (8,-8) ⇒ (8,-10)⇒X"

Y(-2,4) ⇒ (2,-4) ⇒ (8,-4) ⇒ (8,-6)⇒Y"

Z(-8,4) ⇒ (8,-4) ⇒ (2,-4) ⇒ (2,-6)⇒Z"

5 0
2 years ago
You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o
Aleksandr [31]

Answer:

Therefore the circumference of the circle is =\frac{20\pi}{4+\pi}

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

\Rightarrow s=\frac{10-\pi r}{2}

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

A=\pi r^2+ (\frac{10-\pi r}{2})^2

\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2

\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}

\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25

For maximum or minimum \frac{dA}{dr}=0

Differentiating with respect to r

\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi

Again differentiating with respect to r

\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}    > 0

For maximum or minimum

\frac{dA}{dr}=0

\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0

\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}

\Rightarrow r=\frac{10}{4+\pi}

\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0

Therefore at r=\frac{10}{4+\pi}  , A is minimum.

Therefore the circumference of the circle is

=2 \pi \frac{10}{4+\pi}

=\frac{20\pi}{4+\pi}

4 0
2 years ago
Other questions:
  • Justin is playing a game.
    13·2 answers
  • The midpoint of UV is (5, -10). The coordinates of one endpoint are U(3,6). Find the coordinates of endpoint V.
    15·1 answer
  • Solve the systems of equations using substitution<br><br> -3x+2y=12<br><br> x=2y-8
    15·2 answers
  • If your going 70 miles per hour, how many hours will it take you to go 70 miles
    8·2 answers
  • Solve for X under the assumption that X&gt;0 Enter your answer in interval notation using grouping symbols.
    11·1 answer
  • Name the property that justifies each statement. The measure of an angle is 52 more than its complement. What is the measure of
    15·1 answer
  • The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of th
    13·1 answer
  • What are the values that go into the green box?
    5·1 answer
  • At the school carnival, Luke bought a hot dog for $2. He also bought game tickets for $0.25
    6·1 answer
  • Valeria wants to ride her bicycle 48 miles this week. She has already ridden 18 miles. If she rides for 4 more days, what is the
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!