Consider the system of equations.
y = –2x + 4,
3y + x = –3


Which statement is true of this system of equations?

Both equations are in slope-intercept form.

The first equation converted to slope-intercept form is y + 2x = 4.

The second equation converted to slope-intercept form is .

Neither equation is in slope-intercept form.

Answer:

4 1/2. Root 18 simplifies to 4.242640687, which is less than 4.50

Answer:

4and 1/2

Step-by-step explanation:the square for of 18 is 4.24264 and 4 and a half is 4.5

Answer:

C

Step-by-step explanation:

If you don't like math you don't like geometry because geometry is math. Just like if you like geometry you like math because geometry is math

Answer:

C

Step-by-step explanation:

Since geometry is math, then if you don’t like math, you won’t like geometry.

Answer:

I am pretty sure that the answer is  

y = 3x -2

Step-by-step explanation:

given a line with slope m then the slope of a line  perpendicular to it is

 where m is the slope and b the y-intercept

I hoped this helped!!!

Answer: y=3x-5

Step-by-step explanation:

Got ot right on my test!!

Answer: 187.2

Step-by-step explanation:

Answer:

187.2

Step-by-step explanation:

Answer:

530.66 cm squared

Step-by-step explanation:

c = 2(3.14)r

81.64 = 2(3.14)r

Divide both sides by 6.28

The radius is 13

a = 3.14(13 squared)

a = 530.66

Answer: 530.39 cm²

Step-by-step explanation:

C=2πr, Substitute 81.64 in for C then divide 2π t get 12.99. A=πr². Plug in 12.99 for r, solve, and get 530.39 cm

Answer:

it would be can D

Step-by-step explanation:

Can C have greater volume.

The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height. V =πr²h, is the formula for the volume of a cylinder with base radius r and height h.

Given:

a) Volume of Cylinder = πr²h

                                    = 3.14 x 2 x 2 x 6

                                    = 75.36 cube inches.

b) Volume of Cylinder = πr²h

                                    = 3.14 x 2.5 x 2.5 x 5

                                    = 98.125 cube inches.

c) Volume of Cylinder = πr²h

                                    = 3.14 x 3 x 3 x 4

                                    = 113.04 cube inches.

d) Volume of Cylinder = πr²h

                                    = 3.14 x 3.2 x 3.2 x 3

                                    = 94.4608 cube inches.

Hence, can C have greater volume.

Learn more about Volume Of Cylinder here:

https://brainly.com/question/16134180

#SPJ2

Answer:

50 ft.

Step-by-step explanation:

It is given that the ratio of width-to-length is 2 : 5.

Let,

Width = 2x ft

Length = 5x ft

Perimeter of the rectangle is

[tex]Perimeter=2(lenght+width)[/tex]

[tex]Perimeter=2(5x+2x)[/tex]

[tex]Perimeter=2(7x)[/tex]

[tex]Perimeter=14x[/tex]

It is given that the perimeter of the rectangle is 140 ft.

[tex]14x=140[/tex]

Divide both sides by 14.

[tex]x=10[/tex]

The value of x is 10.

[tex]Length=5x=5\times 10=50[/tex]

Therefore, the length of the rectangle is 50 ft.

Answer:

See Below

Step-by-step explanation:

The function is a piecewise function defined as:

[tex]N(t)=\left \{ {{25t+150} \ 0 \leq t \leq 6 \atop {\frac{200+80t}{2+0.05t} \ t \geq 8}} \right.[/tex]

a)

We need to find the limit of the function as t goes to infinity. This means what is the max value of fish in the pond given times goes to infinity (on an on).

We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.

[tex]\lim_{t \to \infty} \frac{200+80t}{2+0.05t} \\\lim_{n \to \infty} \frac{80t}{0.05t}\\ \lim_{n \to \infty} \frac{80}{0.05} =1600[/tex]

This means the maximum number of fish at this pond is 1600, no matter how long it goes on.

b)

A function is continuous at a point if we have the limit and the functional value at that point same.

Functional value at t = 8 is (we use 2nd part of equation):

[tex]\frac{200+80t}{2+0.05t}\\\frac{200+80(8)}{2+0.05(8)}\\=350[/tex]

We do have a value and limit also goes to this as t approaches 8.

So, function is continuous at t = 8

c)

We want to find is there a "time" when the number of fishes in the pond is 250, during t from 0 to 6. We plug in 250 into N(t) and try to find t. Make sure to use the 1st part of the piece-wise function. Shown below:

[tex]N(t)=25t+150\\250=25t+150\\25t=250-150\\25t=100\\t=4[/tex]

The time is 4 years when the number of fishes in the pond is 250

Answer:

153.3

Step-by-step explanation:

154-0.7

Answer:

153.3

Step-by-step explanation:

154.0-0.7=153.3

Answer:

20cm.

Step-by-step explanation:

so the answer is 8cm

Hope this will help u...

The answer for question 1 is C. 18ft

for question 2 is B. 63ft

for question 3 is B. 45

and for question 4 is C. 23

Lastly for question 5 the answer is 14

Answer:

a is the answer

Step-by-step explanation:

In the given scenario, angle 2 is formed by line segments DG and GE. Another name for angle 2 is Angle DGE (Option a).

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
As mentioned in the question, Lines EH and DF intersect at point G. Angle 2 is formed by line segments DG and GE, and angle 1 is formed by line segments EG and GF. So angle 2 is constituted by segments jointly as DGE.

Thus, Another name for angle 2 is Angle DGE (Option a).

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ6

Answer:

50.04 pounds

Step-by-step explanation:

If 1 gallon weighs 8.34 pounds,

all you have to do is multiply 8.34 by 6

to get what 6 gallons would weigh.

To determine the weight of 6 gallons of water, multiply the weight of one gallon (8.34 pounds) by 6. Thus, 6 gallons of water weigh 50.04 pounds.

To find out how much 6 gallons of water weigh, you simply need to multiply the weight of one gallon by the number of gallons.

Since we know that one gallon of water weighs 8.34 pounds, the calculation is as follows:

6 gallons × 8.34 pounds/gallon = 50.04 pounds.

Therefore, 6 gallons of water weigh 50.04 pounds.

Answer:

2/5 times 2/5 equals 4/25

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

14/15

Step-by-step explanation:

make both bases the same number

5/15 + 9/5

add like normally

14/15

Answer:

14/15 is your answer

Step-by-step explanation:

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

Answer:

B determine the radius and multiply by 2pi

Step-by-step explanation:

Answer:

The first guy is rite. ♥☻

Answer: the system is consistent

The system is independent

Step-by-step explanation:

Three sides measuring 5 in., 12 in., and 14 in.

First of all, you need to know some facts about every triangle:

FIRST FACT:

If two sides of a triangle are [tex]a \ and \ b[/tex], then the third side must be less than [tex]a+b[/tex]. Why? because if its length is exactly [tex]a+b[/tex], then you can't build up a triangle, but you'll have a line segment. In other words:

[tex]a<b+c \\ \\ b<a+c \\ \\ c<a+b[/tex]

SECOND FACT:

The internal angles of any triangle add up to 180°. So if ∠A, ∠B and ∠C are the internal angles of a triangle, then:

[tex]\angle A +\angle B+ \angle C=180^{\circ}[/tex]

__________________________

So let's analyze each case:

[tex]\angle A=25^{\circ} \\ \\ \angle B=65^{\circ} \\ \\ \angle C=90^{\circ} \\ \\ \\ \angle A +\angle B+ \angle C=25^{\circ}+65^{\circ}+90^{\circ}=185^{\circ} \neq 180^{\circ}[/tex]

The sum is greater than 180 degrees, so these angles can't form a triangle

The sum is less than 180 degrees, so these angles can't form a triangle

The inequalities are true, so these sides form a triangle.

Case 4: Three sides measuring 4 ft, 8 ft, and 14 ft

[tex]a=4 \\ \\ b=8 \\ \\ c=14 \\ \\ \\ 4<8+14\rightarrow 4<22 \\ \\ 8<4+14 \rightarrow 8<18 \\ \\ 14<4+8 \rightarrow 14<12 \ NOT \ TRUE![/tex]

Since the third inequality is not true, then we can't form a triangle with these sides.

Answer:

5/4k^2

Step-by-step explanation:

P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.

We will be using the following property of exponents:

\dfrac{a^x}{a^y}=a^{x-y}.

We have

P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.

Thus, the required product is \dfrac{5}{4k^2}.

Read more on Brainly.com - https://brainly.com/question/8858421#readmore

Answer: 5/4k^2

Step-by-step explanation:

Just multiply the fractions then simplify by a common factor of 3, then cancel out the common variable of k

Answer:

[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]

Step-by-step explanation:

Given the equation

[tex]x2 = -20y[/tex]

A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.

[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.

so

[tex]x^2=-20y[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]-20y=x^2[/tex]

[tex]\mathrm{Factor\:}4[/tex]

[tex]4\cdot \frac{-20}{4}y=x^2[/tex]

[tex]4\left(-5\right)y=x^2[/tex]

[tex]\mathrm{Rewrite\:as}[/tex]

[tex]4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2[/tex]

[tex]\left(h,\:k\right)=\left(0,\:0\right),\:p=-5[/tex]

Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.

[tex]\left(0,\:0+p\right)[/tex]

[tex]=\left(0,\:0+\left(-5\right)\right)[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]\left(0,\:-5\right)[/tex]

Therefore,

[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]

Please check the attached figure too.

The focus of the parabola given by the equation x2 = -20y is at the coordinates (0,-5). This is calculated by finding the value of 'p' in the standard form x2 = 4py.

The equation x2 = -20y is notably a form of the parabola equation known as standard form. This version of a parabola equation is defined in the form x2 = 4py (or it could be y2 = 4px), where p is the distance from the vertex to the focus (and also to the directrix).

In the given equation, x2 = -20y, comparing it with the standard form, we find 4p = -20 by observing the coefficient of 'y'. Solving for 'p', we get p = -20/4 = -5. This means the focus of the parabola is (0,-5), because for a parabola that opens downwards (since 'p' is negative), the focus is located at the coordinates (h, k-p), where 'h' and 'k' are the coordinates of the vertex (which is the origin (0,0) in this case).

Learn more about Parabolas here:

https://brainly.com/question/35420659

#SPJ3

Answer:

6b - 8 = 58

6b = 66

b = 11

Each book costs $11.

Lashonda bought 11 books.

To solve this problem, we can set up an equation based on the information given. Let [tex]\( b \)[/tex] represent the number of books Lashonda bought. Each book costs $6, so the total cost before the discount is [tex]\( 6b \)[/tex]. Lashonda received a discount of $8 off of her total purchase, and she spent $58 after the discount. Therefore, the equation representing the total cost before the discount minus the discount equals the amount she spent is:

[tex]\[ 6b - 8 = 58 \][/tex]

Now, we solve for [tex]\( b \)[/tex]:

[tex]\[ 6b = 58 + 8 \][/tex]

[tex]\[ 6b = 66 \][/tex]

[tex]\[ b = \frac{66}{6} \][/tex]

[tex]\[ b = 11 \][/tex]

So, Lashonda bought 11 books.

Answer:

Part A) The length of a straight line between the school and the Fire Station is [tex]4.6\ miles[/tex]

Part B) The length of a straight line between the school and the hospital is [tex]2.1\ miles[/tex]

Step-by-step explanation:

The complete question in the attached figure

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

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

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

we have

A(0,0) and C(4.3,1.7)

substitute

[tex]d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}[/tex]

[tex]d=\sqrt{(1.7)^{2}+(4.3)^{2}}[/tex]

[tex]d=4.6\ miles[/tex]

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

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

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

we have

A(0,0) and D(1.2,1.7)

substitute

[tex]d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}[/tex]

[tex]d=\sqrt{(1.7)^{2}+(1.2)^{2}}[/tex]

[tex]d=2.1\ miles[/tex]

Answer:

6³

Step-by-step explanation:

Answer:

6^3

Step-by-step explanation:

6*6*6

The base is 6

There are 3 sixes multiplied together so the exponent is 3

The answer is 0.8. What I did was I put 4 divided by 5 in my calculator

Answer:

0.8

Step-by-step explanation:

First, we have to find out what 1/5 is, so we divide 1 by 5:

Divide:

1/5=.2

Multiply by 4:

.2 times 4= .8

I hope this helps u pls give a brainliest and a thx ;)

Answer:

1/2 gallon=2 quarts plus 3 quarts so 5 quarts then 11/4 would be 11 quarts so 11+2+3=16 quarts

Step-by-step explanation:

If the 11/4 part is confusing you on how many quarts it actually is it simply means that for every 4 quarts you get a gallon and you have 11 quarts so you can also look at it as 2 3/4 gallons if that somehow clarifies it.

Answer:

4 x 2 x 3

Step-by-step explanation:

[tex]l = 4\\\\w = 2\\h = 3\\[/tex]

Answer:

you can solve this by finding the volume of the block

Step-by-step explanation

V= lxwxh

= 3x4x2

= 24

therefore there are 24 blocks in this figure

Have a great day