Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point

Answers

Answer 1
The answer is D. (4,14) because both lines pass through this point

Explanation: You can insert (4,14) in either equation and so if you insert it into y= x+10 you get 14=4+10 which shows the x combined with 10 equals the y so it’s correct and if you plotted both lines on the graph both lines would travel through this point because it is a solution for both lines.

Related Questions

Given a dilation around the origin, what is the scale factor K?

D o, K = (2,4) → (3,6)

Answers

Answer:

It is 3/2, I got it right on my exam.

Step-by-step explanation:

Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.

What is dilation?

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.

Let the dilation factor be represented by a, then,

2 × a = 3

a = 3/2

Similarly for the y-axis,

4 × a = 6

a = 6/4 = 3/2

Hence, the dilation factor of the given point is 3/2.

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The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.

Answers

The U.S. Mint makes commercial circulation coins including commemorative collector's coins including investor bullion coins.In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.

[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]

heaviest[tex]\bold{=5.69\ g\\\\}[/tex]

lightest[tex]\bold{=5.65\ g\\\\}[/tex]

Evaluating each expression:  

[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]

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If you help me, you will get this cookie

Answers

Answer:

B. 7y - 15

Step-by-step explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

Answer:

b. 7y-15

Step-by-step explanation:

First, write out the expression

1. [tex]10y-3(y+5)[/tex]

To simplify the expression distribute the -3 to the terms within the paratheses.

2. [tex]10y-3y-15[/tex]

Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted

3. [tex]7y-15[/tex]

This means that B is the correct answer.

I need help right now ASAP!!!please man some on help me

Answers

Answer:

hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

S is the midpoint of QR.

⇒ RS = QS    

QR ⊥ PS

⇒ ∠RSP = ∠QSP = 90°

In ΔPSR & ΔPSQ,

Statement                     Reason

RS ≅ QS                       S is midpoint of QR

∠RSP ≅ ∠QSP              QR ⊥ PS

PS ≅ PS                         Reflexive property

ΔPSR ≅ ΔPSQ               Side Angle Side - S A S Congruent

PR≅  PQ                        CPCTC

plz help me solving this question ​

Answers

Answer:

Step-by-step explanation:

3) Surface area of cube = 6a² where a is side of the cube.

a)  a = 6 cm

Surface area of cube = 6 * 6*6 = 216 cm²

b) a = 4.5 cm

Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²

4)  Area of cuboid = A = 2(lb + bh + hl)

a) l = 10 cm ; h = 6 cm  ; A = 376 cm²

  A = 376

2(lb + bh + hl) = 376

2(10b + 6b + 60) = 376

2*( 16b + 60) = 376

 2*16b + 2*60 = 376

     32b + 120 = 376

        32b  = 376 - 120

          32b = 256

             b = 256 / 32

b = 8 cm

5) Surface area  of cube = 150 cm²

6a² = 150

Divide both sides by 6

a² = 150/6

a² = 25 = 5*5

a = 5 cm

6)  l = 15 cm ; b = 12 cm ; h = 10cm

Lidless. so area of top portion is not included

Surface area of lidless cuboid = 2(hb + hl) + lb

                                                  = 2*(10*12 + 10*15) + (15*12)

                                                  = 2*(120 + 150) + 180

                                                  = 2* 270 + 180

                                                  = 540 + 180

                                                   = 720 cm²

Step-by-step explanation:

Q5:Find the length of each side of the cube whose Total surface area are given below:

(B)2400cm^2

Solution:

T.S.A= 6a^2 [ we have to find a]

2400=6a^2

2400/6=a^2

400=a^2

a=squareroot of 400

=20

So, 20cm is the length of a cube.

Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown.

27 ÷ 3 = 9
Which statement accurately compares the number of blueberry muffins and the number of cranberry muffins?

Jia baked 3 times as many blueberry muffins as cranberry muffins.
Jia baked 9 times as many blueberry muffins as cranberry muffins.
Jia baked 3 times as many cranberry muffins as blueberry muffins.
Jia baked 9 times as many cranberry muffins as blueberry muffins.

Answers

Answer:

she baked 3 times as many cranberry than blueberry muffins

Step-by-step explanation:

i think that because 9×3=27

the amount of the cranberry muffins are 9

sentence
After several days of drilling, a water well is 80
meters deep. The well is being drilled at a rate of
20 meters per day.
How many more days will it take to reach a total
depth of 180 meters?

Answers

Answer:

it will take 5days to reach a total of 180meters

Step-by-step explanation:

80m+20+20+20+20+20

=180meters

=5days

The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)

Answers

The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.

A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.

It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.

Given:

a = 3

y = [tex]\frac{20}{2}[/tex] cm = 10 cm

Solution:

from the equation [tex]y^{2} = 4ax[/tex]

[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]

putting x, 10 cm in the equation

[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]

thus, the depth of the mirror would be - 8.33 cm

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whats the gcf of 50,40
whats the gcf of 14,56,63

Answers

For 50 and 40 the GCF is 10
For 14,56,63 the GCF is 7
Hope this helps!
Would really appreciate it if given brainleist, thanks!

9514 1404 393

Answer:

107

Step-by-step explanation:

The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.

GCF(40, 50)

The difference is 10, which is a factor of both 40 and 50.

  GCF(40, 50) = 10

__

GCF(14, 56, 63)

You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.

  GCF(14, 56, 63) = 7

_____

Additional comment

Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.

For example, let's look at the GCF of 14 and 63.

  63/14 = 4 r 7

  14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor

x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

Answers

Answer:

a + b =1

Step-by-step explanation:

Write the given quadratic as x^2 – 1x – 90 = 0.  This factors into

(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.

If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.

3/4 + 4/7 + 3/4
plz help​

Answers

Answer:

29/14

Step-by-step explanation:

Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.

3/4 = 21/28

4/7 = 16/28

3/4 = 21/28

(21+16+21)/28 = 58/28 which can simplify to 29/14

hi

Golden rule : you can only add or substract fraction if and only if they have the same denominator.

so two solutions :

you see that one denominator is a multiple of the second. so you multiply all the fraction by this multiple.

ex : 1/3 + 5/6

here I can easely convert 1/3 into a fraction with 6 as 6 is 3x2.

so : 1x2 = 2 and 3x2 = 6

1/3 is 2/6

so. 1/3 +5/6 = 2/6 +5/6

fraction have same denominator, I add numerators : 2/6 +5/6 =7/6

if it not that evident, you multiply fraction A up and down by denominator of fraction B.

and you multiply up and down fraction B by denomonator of fraction A

let' s see with your exemle :

3/4 +4/7+3/4 = ?

first I add fraction with same denominator :

3/4+3/4+4/7 = 6/4 +4/7

fraction A is 6/4.

I multiply up and down by denominator fractiok B which is " 7"

so. 6/4 = 6x7/4×7 = 42/28

let's apply method to fraction B whixh is 4/7 . let' multiply up and down by denominator of fraction A which is " 4"

so : 4/7 = 4x4 /7x4 = 16/28

now we have :

6/4 +4/7 = 42/28 +16/28

both my fractions have same denominator "28" so I add numerator :

42/28 +16/28 = 58/28

Now must wonder if 58/28 can be simplify. Good trick is to decompose numbers, and in prime number is the best way to do

58 = 2x29

28 = 7x2x2

so 58/28= (2×29)/ (7x2x2)

when there is same number up and down I can cross it out .

so here one "2" up and down can be rule out

so 58/28 = 2x29 /7×2×2 = 29/7x2 =29/14

I can not symplify more, so calculus is over.

in short :

3/4+4/7+3/4 = 6/4+4/7

= 42/28 +16/28

=58/28

= 29/14

What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units

Answers

Answer:

49•5

Step-by-step explanation:

A= hb×b÷2

given

hb=height=9

b=base=11

The area of the triangle will be 49.5 square units. Then the correct option is A.

What is the area of the triangle?

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,

A = 1/2 x 11 x 9

A = 11 x 4.5

A = 49.5 square units

The area of the triangle will be 49.5 square units. Then the correct option is A.

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the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer

Answers

Pi =3.14
V=3.14*r^2*h
V= 3.14*3^2*(7/2)
V = 98.96 cm^3
If you mean how much water is in the glass

paul leaves for school at 7:25 am he returned home at 3:15 pm how long was paul away from home?

Answers

Answer:

8 hours 10 minutes

I hope this answers your question

Answer: paul has been away from home for 7 hours and 50 minutes.

Step-by-step explanation:

HELP ASAP
THANK YOU!!!

Answers

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

What percentage is 150 grams of 400 grams?
1 %

Answers

Answer:

37.5%

Step-by-step explanation:

150/450 = .375 = 37.5%

The percentage is 150 grams out of 400 grams will be 37.5%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.

Then the percentage is 150 grams out of 400 grams will be

P = (150 / 400) x 100

P = 0.375 x 100

P = 37.5%

Thus, the percentage is 150 grams out of 400 grams will be 37.5%.

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Which function is increasing?

Answers

Answer:

A, it's the only one with a number greater then 1

I really really need help with this

Answers

Answer:

c) 21

Step-by-step explanation:

[tex] \sqrt{169} + \sqrt{64} [/tex]

13+8

answer is 21

what is the commutative property for 4xy
PLEASE ANSWER QUICKLY

Answers

Answer:

[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]

in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time

Answers

Answer:

wyatt

Step-by-step explanation:

4:30 mins is 270 seconds

Sayad bought a watch and sold to Dakshes at 10% profit. Sayad again sold it to Sahayata for rs 6,050 at 10% profit. i)Find the cost price of Dakshes. ii) Find the cost price of Sayad.​

Answers

Answer:

The cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.

Step-by-step explanation:

Given that Sayad bought a watch and sold to Dakshes at 10% profit, and Dakshes again sold it to Sahayata for $ 6,050 at 10% profit, to find the cost price of Dakshes and the cost price of Sayad the following calculations must be performed:

6,050 / 1.1 = X

5,500 = X

5,500 / 1.1 = X

5,000 = X

Therefore, the cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.

Find the value of x.

A. 75
B. 80
C. 57
D. 40

Answers

Answer:

80

Step-by-step explanation:

since a=40

40x2 is 80

The value of x is 80 which is the correct answer would be an option (B)

What are the Angles of Intersecting Secants Theorem?

Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.

Given that angle ∠a = 40°

∠x = 2∠a

Substitute the value of ∠a = 40°

∠x = 40×2

∠x = 80°

Hence, the value of x is 80 degree

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I need help ASAP!!Please explain your answer

Answers

Answer:

240 ft^2

Step-by-step explanation:

The rectangular prism has 6 faces. Each two opposite faces have the same area. We need to find the areas of 3 faces that are not opposite faces, add them, and then multiply by two.

Top face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Right face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Front face:

6 ft by 6 ft

area = LW = 6 ft * 6 ft = 36 ft^2

Sum of areas of 3 faces:

42 ft^2 + 42 ft^2 + 36 ft^2 = 120 ft^2

Now we double the area to account for the 3 faces that are opposite each one of the three faces whose areas we calculated.

2 * 120 ft^2 = 240 ft^2

Answer: 240 ft^2

i  genuinely dont know help

Answers

Answer:

-13 1/2 < -6/8

Step-by-step explanation:

*Any negative in either the numerator or denominator will make the entire fraction negative.

1/2  = .5

-13 1/2 = -13.5

-6/8 = -3/4

-3/4 = -0.75

-6/8 = -0.75

-13 1/2 = -13.5

Which means:

-13 1/2 < -6/8

Hope this helped.

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] \frac{6}{8} [/tex]

Is close to 0 (to positive) you can use a time line to determine which is a correct answer

I need help i tried to do this but can't get it.

Answers

Answer: x=5, y=-1

Hope this helps

757divide 100=to in hours and minutes

Answers

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

Which expressions
are
equivalent to -6+4q+(-6q)?
Choose all answers that apply:
–6(q + 1) — 42
2(q -3)
None of the above

Answers

Answer:

None of the Above are correct

Help pls will give brainliest

Answers

Answer:

hello,

answer C

Step-by-step explanation:

area of the rectangle=2b*b=2b²

area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]

Area in blue= 2b²-πc²/8

can someone pls help me

Answers

On the last option, since you can substitute y=3x+1 into the other equations to solve for x.

For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI

Answers

I believe the answer is C
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