Two straight lines are shown.

Two Straight Lines Are Shown.

Answers

Answer 1

Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

Answer 2

The coordinates of T are (3, 20).

What is Straight Line?

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

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Related Questions

solve
y=-x+3
y=x^2+1

Answers

Answer:

[tex] - x + 3 = {x}^{2} + 1[/tex]

[tex] {x}^{2} + x = 2[/tex]

Answer:

Step-by-step explanation:

1st y=-x+3

Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

−x/−1= y−3/−1

Answer:

x=−y+3

2nd queastion: y=x^2+1

In the image

Hope this helps :)

PLS BRAINLIEST

WILL MARK BRAINLIEST IF GOTTEN RIGHT! DONT ANSWER IF U DONT KNOW!

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

besties i need help on this question

Answers

I’m guessing that since 4 is equal to 124 then you divide it by 2 and then get 62.
Should be 56 for angle 2 and should be 66 for angle 1


The function Rx) = x2 is graphed above. Which of the graphs below represents the function g(x) = x2 -3?

Answers

Answer:

Step-by-step explanation:

The following M & M colors are in the bowl: 4 yellow, 6 orange, 3 green, 5 blue, 2 brown. What is the probability of selecting a brown candy?

Answers

Answer:

1/10

Step-by-step explanation:

4+6+3+5+2=20

so there are 2 brown M&M's

=2/20

= 1/10

I hope this helps a little bit.

1) The assistant principal at the girl’s school wants to determine which type of snack to give out to the entire Girls School population during their next assembly. Which survey method would produce the best representative sample?
a. survey every fifth person who goes outside during lunch period
b. survey all the students on the debate team
c. survey every tenth student entering the school one morning
d. survey all the students who go to the mall one weekend

Answers

Answer:

C

Step-by-step explanation:

Due to the fact that you are surveying more people and that those people are differentiated there will be a more representative answer rather than a biased one.

Answer:

c

Step-by-step explanation:

you have a higher number therefore more results.

1 + 1 = ? help now please asap!

Answers

Question:

1 + 1 = ? help now please asap!

Answer:

1 + 1 = 2

hope this helps :)

what is this question called?

Answers

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

Help :)))) please it would mean alot

Answers

The answer is 1.144. You can find the answer key in Khan acadmy or even on quizlet

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1)2 + ( + 2)2 = 25 (x + 2)2 + (-1)=5 O (* + 2) + (-1) - 25 (x-1) + ( + 2) = 5

Answers

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]

[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]

[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]

On further simplification, we get

[tex]r=\sqrt{9+4}[/tex]

[tex]r=\sqrt{13}[/tex]

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].

[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]

[tex](x+2)^2+(y-1)^2=13[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].

You wre flying a drone at a height of twelve yards. It has traveled a horizontal of twenty eight. What is the angle of depression from the drones current location down to its starting point

Answers

Answer:

23.19°

Step-by-step explanation:

Given that,

The height of a drone = 12 yards

It has traveled a horizontal of 28 yards

We need to find the angle of depression from the drones current location down to its starting point. It can be calculated as :

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\=\tan^{-1}(\dfrac{12}{28})\\\\=23.19^{\circ}[/tex]

So, the angle of depression is equal to 23.19°.

helpppppppppppppppppppppppppp

Answers

Answer:Hmm okay its C because i had that before

Step-by-step explanation:

if its wrong then i dont know because my brother told me

Which could be the side lengths of a 30°-60°-90° right triangle?
A 2, 3, 2
B 13, 2/3, 3
C 3, 3, 32
D 3,3/3, 613

Answers

Answer:

None of these could be a 60-30 right triangle

Step-by-step explanation:

A)  is a 45-45 right triangle and the hypotenuse is too short

                        a² + b² = c²         2² + 2² ≠ 3²

B)  13 is way too long

C)  32 too long    3² + 3² ≠ 32²    

D) really 613 no way

5. Ana's age is twice the age of Lorna. If the sum of their ages is no more than 72, find the age of
the two.​

Answers

Answer:

Ana:48

Lorna:24

Together they are a total of 72 yrs old

Ana’s age x
Lorna’s age y

x=2•y

x+y ≤72

2•y+y =72
3y =72
y =72/3
y =24 Lorna’s age

x=2•y
x=2•24
x=48 Ana’ age

48+24 ≤72
72 ≤72

The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)

Answers

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

How much annual income would you need to have if, using the 28/36 ratio, your maximum allowable recurring debt is $500? A. $21,430 b. $30,000 c. $62,500 d. $75,000

Answers

Answer: $75,000

Step-by-step explanation:

The 28/36 rule is that the maximum that the person is to spend on household expenses is 28% of their monthly income. 36% of their monthly income is the maximum they can spend on debt and their household expenses.

This means that the maximum they are allowed to spend on debt is:

= 36 - 28

= 8%

If their maximum allowable debt is $500, this is 8% of their gross income. This Gross monthly income is therefore:

500 = x * 8%

= 500/ 8%

= $‭6,250‬

Their gross annual income is:

= 6,250 * 12

= $75,000

Answer:

$75,000

Step-by-step explanation:

e d g e

You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?​

Answers

Answer:

1,187.50

Step-by-step explanation:

Answer:

Step-by-step expiation

we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3

2.5% = 0.025

0.025 x 3 = 0.075

Then we will multiple the tax rate by our principal,

52,000 x 0.075 = 3,900

52,000 - 3,900 = 48,100

This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.

solve the system by substitution y+X=3 2y+x=-5

Answers

Answer:

Step-by-step explanation:

We have the system:

y+x=3

2y+x=-5

the question asks us to solve by substitution..

Let's subtract y from both sides of the first equation

y+x=3

-y    -y

x=3-y

now, let's substitute 3-y as x into the second equation

2y+3-y=-5

combine like terms

y+3=-5

subtract 3 from both sides

y=-8

so the value of y is -8

now let's use that information to solve for x; we know that x is 3-y, so let's substitute the value of y to find x

x=3-y

x=3--8

x=11

the value of x is 11

as a point, your answer is (11,-8)

Hope this helps! :D

A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?

Answers

Answer:

4 minutes

Step-by-step explanation:

160/40 = 4  

Answer:

Step-by-step explanation:

40

h

Explanation:

We're asked to find the time it takes an object (bird) to travel

1800

km

at a constant speed of

45

km/h

.

We have our simplified speed equation:

speed

=

distance

time

Rearranging for time:

time

=

distance

speed

We're given:

speed

=

45

km/h

distance

=

1800

km

Plugging these in:

time

=

1800

km

45

km

h

=

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

40

l

h

−−−−−−−−−

The journey will take

40

l

hours

.

Which is the graph of y = log (negative x)?
On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.
On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.
On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.
On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.

Answers

Answer:

b

Step-by-step explanation:

I did the test

The graph of y = log(-x) is drawn using online geogebra graphing tool and attached.

Log function

An exponential function is in the form:

y = abˣ

Where y, x are variables, a is the initial value of y and b is the multiplication factor.

Log functions are inverse of exponential functions.

The graph of y = log(-x) is drawn using online geogebra graphing tool and attached.

Find out more on Log function at: https://brainly.com/question/13473114

a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes does it take to fill the prism? ANSWER ASAP

Answers

Answer:

192

Step-by-step explanation:

at 1/4 unit length, each side of one cubic unit would be 4.

so each cubic unit would consist of 4x4x4 = 64 of the 1/4 cubic units.

64 x 3 = 192

Answer:

your answer will be 192

Step-by-step explanation:

hope it helps

The vertices of a triangle are P(7,3), Q(3,1)and R(7,1). Enter the vertices of the image reflected in the x-axis

Answers

Answer:

P'(7,-3)

Q'(3,-1)

R'(7,-1)

Step-by-step explanation:

Switch signs of y-value when reflecting across x-axis.

Switch signs of x-value when reflecting across y-axis.

Hope this helped!

Kylie invested $290 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $390?

Answers

Answer:

t= 11.9

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

A=390\hspace{35px}P=290\hspace{35px}r=0.025

A=390P=290r=0.025

Given values

390=

390=

\,\,290e^{0.025t}

290e  

0.025t

 

Plug in

\frac{390}{290}=

290

390

​  

=

\,\,\frac{290e^{0.025t}}{290}

290

290e  

0.025t

 

​  

 

Divide by 290

1.3448276=

1.3448276=

\,\,e^{0.025t}

e  

0.025t

 

\ln\left(1.3448276\right)=

ln(1.3448276)=

\,\,\ln\left(e^{0.025t}\right)

ln(e  

0.025t

)

Take the natural log of both sides

\ln\left(1.3448276\right)=

ln(1.3448276)=

\,\,0.025t

0.025t

ln cancels the e

\frac{\ln\left(1.3448276\right)}{0.025}=

0.025

ln(1.3448276)

​  

=

\,\,\frac{0.025t}{0.025}

0.025

0.025t

​  

 

Divide by 0.025

11.8506326=

11.8506326=

\,\,t

t

t\approx

t≈

\,\,11.9

11.9

Round to the nearest tenth of a year

Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?

Answers

Answer:

31000

Step-by-step explanation:

hope this helps :)

Answer:

31000

Step-by-step explanation:

helppp
What is the equation of the line that passes through the point (-4,4) and has a
slope of 3/4 ?

Answers

Answer:

y = 3/4x + 7

Step-by-step explanation:

Put it in point-slope form:

y - 4 = 3/4(x - -4)

y - 4 = 3/4(x + 4)

y - 4 =3/4x + 3

y = 3/4x + 7

Perform the operation.
(x^2 + 8x + 8) + (-10x2 + 5x)

Answers

Answer:

-9x^2+13x+8

Step-by-step explanation:

Combine like terms-

(x^2 + 8x + 8) + (-10x^2 + 5x)

8x+5x = 13x

(x^2 + 8x + 8) + (-10x^2 + 5x)

-10x^2+x^2 = -9x^2

(x^2 + 8x + 8) + (-10x2 + 5x)

and 8 is just left over, so we put that all together and get...

-9x^2+13x+8

Good luck, have a great day!

[tex]45=9^{\sqrt{x} }[/tex]
Solving Exponential equations using logs. Round any decimal answers to the hundredths

Answers

Answer:

Step-by-step explanation:

a= b^c     << === >>    logb(a) = c

                 a      b    c

Convert    45 = 9^√x    << === >>   log9 (45) = √x  

                                                1.7324867604 = √x    

                                                              3.0    =    x          squared both sides

I used a log calculator on the internet when a Gaggled log calculators

HELP AYUDA ✋
.
what is the constant of proportionality for the graph shown below?
.
/pls pls pls​

Answers

Answer:

Yaa!!! you are right option A is your answer

Out of 28 cookies, 3/4 are chocolate chip. How many cookies are chocolate chip?

Answers

21 out of 28 cookies are chocolate chip

Answer:

21 cookies

Step-by-step explanation:

28 x 3/4 =

28 / 4 x 3 =

7 x 3 = 21

Hope that helps!

2y to the power of 4 x 5y to the power of 3

Answers

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1:  (2y to the 4th power • 5) • y to the 3rd power

Step 2:  (2•5y to the 4th power) • y to the 3rd power

Step 3:  3.1    y to the 4th power multiplied by y to the 3rd power = y to the  (4 + 3) power = y to the 7th power

Final answer:  (2•5y to the 7th power)

The expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

What is Multiplying Exponents?

When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.

What is multiplication of exponents with same base and different power?

When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

According to the question

[tex]2y^{4} * 5y^{3}[/tex]

Now,

Using the multiplying exponent rule :

the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

Therefore,

As, base y is common in both the terms

= 10[tex]y^{4+3}[/tex]

= 10[tex]y^{7}[/tex]

Hence, the expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

To know more about multiplying exponent here:

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