If a line has a slope of 1/2 and a y-intercept of -6, what is the x-coordinate if the y-coordinate is 4

Answer:

[tex]y-12=13(x-15)[/tex]

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=13[/tex]

[tex](x1,y1)=(15,12)[/tex]

substitute

[tex]y-12=13(x-15)[/tex] -----> equation of the line into point slope form

Answer:

Y-12=13(x-15)

Step-by-step explanation:

Answer:

440 ft

Step-by-step explanation:

Perimeter(p) of a rectangle is 2l + 2w

Where 'l' is the length and 'w' is the width.

p = 2(96ft) + 2(124ft) = 192 ft + 248 ft = 440 ft

Answer:

4x

Step-by-step explanation:

The given product is;

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

This is the same as;

[tex]\frac{2x^2\times 6}{3\times x}[/tex]

We cancel out the common factors to obtain;

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

Multiply out to obtain;

[tex]\frac{4x}{1}[/tex]

Simplify

[tex]4x[/tex]

The second option is the correct choice.

Answer:

4x

Step-by-step explanation:

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

2x^2 can be written as 2*x*x

so the given expression becomes

[tex]\frac{2*x*x}{3}(\frac{6}{x})[/tex]

we cancel out x at the top and bottom

we know 6 divide by 3 is 2

[tex]\frac{2*x}{1}(\frac{2}{1})[/tex]

Now we multiply the numerator with numerator and denominator with denominator

4x

Answer:

Part 1) The scale factor is [tex]1.5[/tex]

Part 2) The altitude QS is [tex]4\ units[/tex]

Part 3) The scale factor is [tex]\frac{2}{3}[/tex]

Part 4) The value of x is [tex]12\ units[/tex]

Part 5) The perimeter of ABCDE is [tex]46\ units[/tex]

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

[tex]z=\frac{NP}{RT}[/tex]

substitute the values

[tex]z=\frac{24}{16}=1.5[/tex]

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

so

[tex]QS=\frac{6}{1.5}=4\ units[/tex]

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

[tex]z=\frac{AB}{FG}[/tex]

substitute the values

[tex]z=\frac{10}{15}=\frac{2}{3}[/tex]

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

so

[tex]AE=FK(z)[/tex]

substitute the values

[tex]AE=18(2/3)=12\ units[/tex]

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

[tex]z=\frac{x}{y}[/tex]

we have

[tex]z=\frac{2}{3}[/tex]

[tex]y=15+9+12+15+18=69\ units[/tex]

substitute the values

[tex]z=\frac{x}{y}[/tex]

[tex]x=(z)(y)=\frac{2}{3}(69)=46\ units[/tex]

Answer:

To find the x-intercept, substitute in 0 for y.

To find the y-intercept, substitute in 0 for x.

Hope this helps and hava great day!!

Answer:

x-intercept: (2,0)(2,0)

y-intercept: (0,−5)(0,-5)

Step-by-step explanation:

Answer:

4i - 10

Step-by-step explanation:

9x - 7 - 5x - 3 = 4i -10

ANSWER

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

EXPLANATION

The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).

If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:

[tex](x,y)\to (2x,2y)[/tex]

can be used to obtain the coordinates of

L′M′N.

[tex]L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)[/tex]

[tex]M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)[/tex]

[tex]N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)[/tex]

The cot choice is:

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

Answer:

A

Step-by-step explanation:

Its the one that mostly makes sense

Answer:

the answer is A.  10/8 cubic in.

Step-by-step explanation:

V = LWH

length is 2 (1/3 in)

width is 3 (1/3 in)

height is 5 (1/3 in)

V = 2/3 in * 3/3 in * 5/3 in.

V = 10/9 cubic in.

The volume of the prism is 10 cubic inches, making the correct answer option b.

To find the volume of the prism made up of cubes each measuring 1/3 of an inch on one side, we first need to understand the volume of one cube.

The volume of a cube is calculated using the formula:

Given that each side of the small cube is 1/3 inch, we calculate:

Next, we need to determine the total number of these small cubes that make up the prism. Let's assume the prism consists of 270 of these small cubes.

The total volume of the prism is calculated by multiplying the volume of one small cube by the total number of cubes:

Thus, the correct answer is:

first simplify the numerator (x+3)(x-2)=x^2-2x+3x-6=x^2+x-6

now factor the numerator (x+3)(x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

((x+3)(x-2))/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

ANSWERS:

The restriction is X=2

The simplified fraction is (x+3)/3

Answer:

First simplify the numerator (x+3) (x-2) = x^2 -2x + 3x - 6 = x^2 + x-6

now factor the numerator (x+3) (x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

(x+3)(x-2)/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

The restriction is X=2

The simplified fraction is (x+3)/3

Answer:

radius = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 2)² + (y - 8)² = 16 ← is in standard form

with r = [tex]\sqrt{16}[/tex] = 4

Answer:

Translation

Step-by-step explanation:

You just move the shape down

Answer:

Step-by-step explanation: translation.

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.

Answer:

x=15/8

Step-by-step explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8

Answer:

D. Robin, Sparrow, Pelican

Step-by-step explanation:

They are the only animals that can do both

d, they are the only animals that can do both

Answer:

d=[0,12]

Step-by-step explanation:

Answer:

The function is f(4)=32, so the domain is (-infinity,infinty)

The domain is infinty :)

Answer:

39

Step-by-step explanation:

the answer is 39 because you do 65/5 which gives you 13 and then you multiply 13 by 3. pls mark as brainliest

Well if you divide 65 into 5 you’ll get 13, which tells you that he gets paid $13 per dog. Now if you multiple $13 with 3 I’ll be $39. So Drew gets earns $39 for washing 3 dogs.

Answer: $39

Answer: (3, 10)

Step-by-step explanation:

X=3 y=10

Answer:

x = 3

y = 10

Step-by-step explanation:

Equation (1) : -2x + y = 4

Equation (2) : y = 3x + 1​

Substitute (2) into (1):

-2x + (3x + 1) = 4

-2x + 3x + 1 = 4

x + 1 = 4

x = 3

Sub x = 3 into (2):

y = 3(3) + 1

y = 10

Answer:

Step-by-step explanation:

This question is too general.  We can take a look at the behaviors of the two different graphs:

f(x)=3^x-3 is an exponential function whose y-intercept is (0, -2).  Note that 3^0 = 1.  To draw this function, we'd drawn f(x)=3^x first and then translate the whole graph down by 3 units.  The graph appears in Quadrants III, IV and I, in that order.

g(x)=7x^2-3 is not an exponential function, but rather a quadratic whose graph is a parabola.  Here the parabolic graph opens up.  Its y-intercept is (0, -3).  This graph will intersect that of f(x)=3^x-3 in two places.

A:  False.  It is g that has minimum y value of -3.  The minimum y value of f is -2.

B:  The smallest y value f can have is just above y = -2.  y = -2 is the horizontal asymptote for this function.  The smallest y value g can have is -3.  So B is False.

C:  True.  g has the smallest possible y-value; it is -3.

D:  True.  The min. y-value of g is -3.

Answer: C and D are true

Step-by-step explanation:

A P E X

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

[tex]h=-16t^{2} +vt+s[/tex]

when the hawk reaches the rabbit the value of h is equal to zero

we have

[tex]v=55\ ft/sec[/tex]

[tex]s=60\ ft[/tex]

substitute

[tex]0=-16t^{2} +55t+60[/tex]

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

The answer is A.) ( 4, -3 )

Answer: 12

Step-by-step explanation:

You can use what is called geometric mean to solve this.

The hypotenuse of this triangle is split into two sections. One section corresponds to/equal to the altitude which is our "X", which corresponds to/equal to the second section.

You find "X" by using geometric mean and the proportion:

16/X=X/9

Then cross multiply to get 16 x 9= 144

then 144=x²

Solve for X.

X=12

Hi, it's me again!

Your answer would be B.

3x + 6 = 21

3(5) + 6

15 + 6

21 = 21

Answer:b is your best bet

Step-by-step explanation:

Answer:

[tex]\large\boxed{-1<x<4}[/tex]

Step-by-step explanation:

[tex]-6<2x-4<4\qquad\text{add 4 to all sides}\\\\-6+4<2x-4+4<4+4\\\\-2<2x<8\qquad\text{divide all sides by 2}\\\\\dfrac{-2}{2}<\dfrac{2x}{2}<\dfrac{8}{2}\\\\-1<x<4[/tex]

Answer:

x = 16

Step-by-step explanation:

Note that vertical angles are congruent, hence

4x + 20 = 84 ( subtract 20 from both sides )

4x = 64 ( divide both sides by 4 )

x = 16

For this case we must solve the following equation for x:

[tex]\frac {1} {3} (6x-15) = \frac {1} {2} (10x-4)[/tex]

We apply distributive property to the terms of parentheses:

[tex]2x-5 = 5x-2[/tex]

We subtract 5x on both sides of the equation:

[tex]2x-5x-5 = -2\\-3x-5 = -2[/tex]

Suamos 5 on both sides of the equation:

[tex]-3x = -2 + 5\\-3x = 3\\x = - \frac {3} {3}\\x = -1[/tex]

Answer:

[tex]x = -1[/tex]

Answer:

We can say that it is a Rectangle

Step-by-step explanation:

Based on the image shown we can see the following. The Blue section is a 2D figure. We can also see that the sides cover the same length and height as the rectangular prism that encompasses it. Therefore based on the information that we gathered we can say that the cross section (blue shaded area) is a rectangle.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The cross-section shown in a rectangular prism with the blue-shaded area is a rectangle.

Given that,

A rectangular prism with a cross-section is shown in the image.

Used the concept of rectangle which states that,

A rectangle is a two dimension figure with 4 sides, 4 corners, and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Now, by the given figure, the Blue section is a 2D figure.

And, the sides cover the same length and height as the rectangular prism

Hence, it shows a rectangle.

Therefore, the cross-section shown with the blue-shaded area in the figure is a rectangle.

To learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ6

Multiply the top values together and the bottom values together.

(2/8)*(3/5)

=(2*3)/(8*5)

=6/40

=3/20

Hope this helps!

Answer:

3/20

Step-by-step explanation:

2    3

-- * --- = 6/40, or 3/20

8    5

You may find it easier to multiply if you write the multiplicands as shown above, instead of 2/8 and 3/5.  Then:  2 times 3 is 6, and 8 times 5 is 40.

Reduce 6/40 to 3/20, your final answer.

Answer: 5

Step-by-step explanation:

= P(roll 4) = 1/6

= Expected # of 4 in 30 rolls = (1/6)*30 = 5

Therefor, the answer is 5

~ Hopefully this helps:) Mark me the  brainliest:)!!

~ 234483279c20~

Answer:

Step-by-step explanation:

3 - 2 = 1 apple

Sally has 1 apple.

Hope this helps.

Please mark as brainliest.

Answer:

$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....

Step-by-step explanation:

Pam's annual taxes are $1200 per year. It means her escrow each month needs to have 1/12 of that amount. 1200/12 = $100 per month

Her homeowner's insurance is $800 per year, that's 1/12 of that needs to be in her escrow account each month:

$800 / 12, or $66.67/month.

And PMI is $55/month

Add these three together:

$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....

Answer:

[tex]F(x)=x^2-5[/tex]

Step-by-step explanation:

The parent function is [tex]G(x)=x^2[/tex].

The function F(x) is obtained when G(x) is shifted down by 5 units.

Hence we rewrite F(x) in terms G(x).

[tex]F(x)=G(x)-6[/tex]

Therefore the required equation is;

[tex]F(x)=x^2-5[/tex]