139c. Find the coordinates of the point of intersection of the lines. y=1-2x and y=x-5


PLS HELP ASAP

139c. Find The Coordinates Of The Point Of Intersection Of The Lines. Y=1-2x And Y=x-5PLS HELP ASAP

Answers

Answer 1

The coordinates of the point of intersection is equal to (3, 5).

What is a point of intersection?

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.

Next, we would solve the given equations simultaneously to determine the coordinates of the point of intersection as follows:

y = 1 - 2x

y = x - 5

Re-arranging the equation, we have:

y + 2x = 1

y - x = -5

Subtracting, we have:

3x = 6

x = 6/2

x = 3.

For y-coordinate, we have:

y + 2x = 1

y + 2(3) = 1

y + 6 = 1

y = 1 - 6

y = -5.

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Related Questions

The probability of rolling a six on a bias dice
is 1/5
Work out the probability of rolling exactly
one six

Answers

The probability of rolling exactly  one six = 0.04

what is probability ?

Probability is a branch of mathematics that deals with the occurrence from of a random event . the value is expressed from zero to one .Probability has been introduced in mathematics  to predict how likely events are to happen .

So , acc the question "exactly one six " means  that one roll so that probability must be doubled the probability of " not six " is 4/5 . the probability of a 6 on the roll and not on the second is 1/5 x 4/5 =4/ 25 .

The six could come on the second roll so thst probability must be doubled .

the overall probability of exactly one six 8/25 or 0.32

completing toatl probability -no sixes =4/25 x 4/25 =16/25 =0.04

two sixes =1/5x 1/5 =1/25= 0.04

Hence , the probability of rolling exactly one six = 0.04

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PLEASEE HELP WHAT IS THE ANSWERR?!?!

Answers

Answer:

42 degree

Step-by-step explanation:

180-132=48

48+90=138

180-138=42

Answer:

Angle e is 42°.

Hope this helps!

Step-by-step explanation:

Total degrees of a triangle is 180°.

The square in the bottom means 90°, the angle with 132° is 48° because it's 180-132. 90 + 48 is 138, 180 - 138 is 42. Angle e is 42°.

how do you know if shapes are congruent

Answers

Answer:

Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.

Answer: Congruent mean same/equal

Step-by-step explanation: So if the have the same height,width, radius,or even angles, they can be congruent.

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation.

5x+2y=10
and passes through (-6, 7)

Answers

Line equation is 5x+2y=10. The point (-6,7). An equation line through the given point and parallel to the given equation is 5x+2y+16=0.

Given that,

Line equation is 5x+2y=10

The point (-6,7)

We have to find an equation line through the given point and parallel to the given equation, in slope-intercept form.

Take equation 5x+2y=10

2y=10-5x

y=(10-5x)/2

y=5-5/2x

The slope of the equation is -5/2

Now, the slope equation formula is

(y-y₁)=m(x-x₁)

Here,

m is -5/2

x₁=-6

y₁=7

We substitute in the formula

(y-7)=-5/2(x-(-6))

(y-7)=-5/2(x+6)

2(y-7)=-5(x+6)

2y-14=-5x-30

5x+2y=-30+14

5x+2y=-16

5x+2y+16=0

Therefore,  an equation line through the given point and parallel to the given equation is 5x+2y+16=0.

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Given that 2 = 6.
Which theorem proves that line d is parallel to line e.

Converse of the alternate exterior angle
theorem

Converse of the alternate interior angle
theorem

Alternate Exterior angle theorem

Alternate interior angle theorem

Answers

The theorem that proves that lines d and e are parallel is the: A. converse of the alternate exterior angles theorem.

What is the Converse of the Alternate Exterior Angles Theorem?

The alternate exterior angles that are formed on each lines that are cross by the transversal are said to be congruent or equal to each other if both lines they lie on are parallel, based on the alternate exterior angles theorem.

Also, we can prove that if the alternate exterior angles are congruent, then the lines they lie on are parallel lines, using the converse of the alternate exterior angles theorem.

Thus, we are given that angle 2 = angle 6. Angles 2 and 6 lie on lines d and e. Since they are equal to each other, they are congruent angles. Therefore, lines d and e are parallel lines based on the converse of the alternate exterior angles theorem.

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Supergym is a national chain of gyms. This year, its employees sold 10,412 gym memberships, which turns out to be 52% more than they sold last year. How many memberships did they sell last year?

Answers

The supergym sold 15,826.24 membership last year

How to calculate the number of membership sold ?

This year it's employees sold 10,412

This number is 52% more that they sold last year

The first step is to calculate 52% of 10,412

52/100 × 10,412

= 0.52 × 10412

= 5,414.24

The number of membership sold this year can be calculated as follows

= 5414.24 + 10,412

= 15,826.24

Hence the number of membership they sold last year is  15,826.24

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Write the equation of the line that goes through the point (3,-3) and has a slope of -5/3 (in slope intercept form).

Answers

The equation of the line that goes through the point (3,-3) and has a slope of -5/3 is y=(-5x+6)/3.

What is a slope?

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent a slope; reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."

The ratio of "vertical change" to "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as quotient ("rise over run"), which produces same number for every two distinct points on the same line. A declining line has negative "rise." The line might be useful, as determined by road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

The slope's absolute value serves as a gauge for  line's steepness, incline, or grade. A steeper line is indicated by slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.

if we let y = mx + b, where m is the slope and b is the intercept, and y - y1 = m (x - x1), then:

3(y + 3) = - 5 (X - (-3))

3y + 9 = - 5 X + 15

3y = -5 X + 6

y=(-5x+6)/3

Check:

When x = 3, y should equal - 3, so:

Y = (- 5 (3) + 6)/3 = -3

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10^-3 x 10^6

please write in the form of powers/ index notation (for example, 7^5 or 10^-4)

Answers

It should be noted that 10^-3 × 10^6 in scientific notation is 10³.

How to illustrate the information?

It should be noted that scientific notation is simply used in Mathematics to express the numbers that are either too small or too large.

This will be illustrated based on the information given. In this case, we want to multiply 10^-3 × 10^6. This will be illustrated thus:

= 10^-3 × 10^6.

It should be noted that since the question is about multiplication, the powers will be added.

= 10^-3 × 10^6.

= 10³

The answer is 10³.

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Consider a rectangular prism with a volume of 24 cubic centimeters. What could be the dimensions of the rectangular prism? Match each set of length and width with the correct height to complete the possible dimensions of rectangular prisms with volumes of 24 cubic centimeters. Prism M Length = 4 cm Width = 1 cm Prism W Length = 2 cm Width = 2 cm Prism Z Length = 6 cm Width = 1 cm Prism J Length = 2 cm Width = 4 cm Prism R Length = 2 cm Width = 3 cm Prism F Length = 1 cm Width = 8 cm

Answers

The dimensions of the rectangular prisms are:

Prism M: l=4 cm , w=1 cm and h=6 cm

Prism W: l=2 cm , w=2 cm and h=6 cm

Prism Z: l=6 cm , w=1 cm and h=4 cm

Prism J: l=2 cm , w=4 cm and h=3 cm

Prism R: l=2 cm , w=3 cm and h=4 cm

Prism F: l=1 cm , w=8 cm and h=3 cm

Given, a rectangular prism with a volume of 24 cm³

Dimensions of the prism if the volume is 24 cm³.

Prism M:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×4×1=24

4h=24

h=24/4

h=6 cm

Prism W:

l=4 cm and w=2 cm

we know that volume = h×l×w

h×2×2=24

4h=24

h=24/4

h=6 cm

Prism Z:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×6×1=24

6h=24

h=24/6

h=4 cm

Prism J:

l=2 cm and w=4 cm

we know that volume = h×l×w

h×2×4=24

8h=24

h=24/8

h=3 cm

Prism R:

l=2 cm and w=3 cm

we know that volume = h×l×w

h×2×3=24

6h=24

h=24/6

h=4 cm

Prism F:

l=1 cm and w=8 cm

we know that volume = h×l×w

h×1×8=24

8h=24

h=24/8

h=3 cm

hence we get the required dimensions.

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How many square feet of outdoor carpet will
we need for this hole?

Answers

Hey you man what are you doing here go to there

1. A man is able to walk 216 feet in 3 minutes. How far can he walk in 1
minute?

Answers

Answer: 216/3

Step-by-step explanation:

1 minute / 3 minutes = 1/3

216 feet * 1/3 = 216/3 feet per minute

Answer:

72 feet

Step-by-step explanation:

This question tests on the concept of conversion.

Given from the question, given the man can walk 216 feet in 3 minutes,

3 minutes = 216 feet

(3÷3) minute = (216 ÷ 3) feet

1 minute = 72 feet

will the bakery have enough time to bake 5 batches of bagels

Answers

can't understand Ur question nicely

omsomfigure2.52base a 20 cmfigure B:ta20 cm5 pmfigure.boromomsomfigure D:tasarea 2018.paretAmong these figures, gureand figurehave the same volume

Answers

We will compute the volume of each figure.

1) Figure A

We have a cone with:

• Ab = base area = 20 cm²,

,

• h = heigh = 5 cm.

The volume of the cone is:

[tex]V_A=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot5\operatorname{cm}\cong33.3cm^3\text{.}[/tex]

2) Figure B

We have a cylinder with:

• Ab = base area = 20 cm²,

,

• h = heigh = 6 cm.

The volume of the cylinder is:

[tex]V_B=A_b\cdot h=20cm^2\cdot6\operatorname{cm}=120cm^3.[/tex]

3) Figure C

We have an inclined cylinder with:

• Ab = base area = 20 cm²,

,

• h = heigh = 5 cm.

The volume of the inclined cylinder is:

[tex]V_C=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]

4) Figure D

We have a parallelepiped with:

• Ab = base area = 20 cm²,

,

• h = heigh = 5 cm.

The volume of the parallelepiped is:

[tex]V_D=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]

5) Figure E

We have an inclined square pyramid with:

• Ab = base area = 20 cm²,

,

• h = heigh = 10 cm.

The volume of the square pyramid is:

[tex]V_E=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot10\operatorname{cm}\cong66.67cm^3\text{.}[/tex]

Answer

Among these figures, figure C and figure D have the same volume.

Drawn to scale
find the area of the figure

Answers

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=8\\ b=12\\ h=7 \end{cases}\implies A=\cfrac{7(8+12)}{2}\implies A=70[/tex]

How do you fully factorise 15p^2+24p

Answers

answer: 3p(5p+8)
explanation: find common factor between 15 and 24 which is 3
make the brackets ()
since you know 3 is the common factor then to factorise 15 and 24p you use 3p so now it should be 3p()
15/3 = 5 and since its 15p^2 put 5p so its now 3p(5p)
24/3 = 8 so 3p(5p+8)

The area of a parallelogram is 88.58 sq cm. The length of the base is 8.6 cm. What is the height?​

Answers

Answer:

10.3 is the length

Step-by-step explanation:

If the area of a parallelogram is B * H then finding one side is dividing area by base or by height

88.58 / 8.6

Answer:

Step-by-step explanation:

88.58 divided by 8.6 is 10.3. That is your answer. 10.3.

Find the probability that at most 2 heads occured when 5 fair coins are tossed

Answers

Answer:

Five coins are tossed the probability of getting two heads is 5/16.

Step-by-step explanation:

I hope it will be helpful for you.

Mason and his children went into a movie theater and he bought $36.50
worth of candies and pretzels. Each candy costs $4.25 and each pretzel costs
$3.50. He bought 6 more pretzels than candies. Write a system of equations
that could be used to determine the number of candies and the number of
pretzels that Mason bought. Define the variables that you use to write the
system.

Answers

Answer:

Let C=the number of candies (because the first variable starts with c)

Let p= the number of pretzels (because the second variable starts with p)

SYSTEM OF EQUATIONS:

4.25c+3.50p=36.50 (first variable number + 2nd variable number equals total amount

p=c+6 (we know we have 6 more pretzels than candies to we have to add candies(c)+6 how many more pretzels than candy we have to find pretzels total number.

Whats this answer?? I need it

Answers

47.04 in^2.

Area = length x width. Substitute 11.2 in and 4.2 in for length and width.

11.2 in x 4.2 in = 47.04 in^2
the answer is 47.04 in ^2

find the slope of the line that passes through ( 7,1 ) and (10,3)

simplify your answer and write it as a proper fraction. improper fraction, or integer.

Answers

Answer:

2/3

Step-by-step explanation:

The formula for the slope is:

[tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in (7,1) and (10, 3):

[tex]\frac{3-1}{10-7} = 2/3[/tex]

Please help immediately!!

Answers

2/5 is close to 4/5 and -0.2 is close to -3/5

HELP ME ASAP TO BE DONE BY TONIGHT

Answers

Answer:

neither

Step-by-step explanation:

The lines are neither. They are perpendicular because when I graphed them, line 2 intersected line 1 at 5, -2.

Hope this helps! :)

$1,500 for 1,080 square feet of carpet

Answers

When the price is $1,500 for 1,080 square feet of carpet, the price per square feet is $1.389.

How to illustrate the information?

It should be noted that from the information, it was stated that the price is $1,500 for 1,080 square feet of carpet.

In this case, it should be noted that the price per square feet will be:

= Total amount / Number of square feet

= $1500 / 1080

= $1.389 per square feet.

Therefore, the price is $1.389.

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$1,500 for 1,080 square feet of carpet. Find the. price per square feet

What are the rules for the order of calculations/operations in an expression?

Answers

Answer:

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

PEMDAS

multiplication and division are on the same level, when you see both work from left to right

addition and subtraction are also on the same leve, work from left to Right

P > E > M = D > A = S

Answer:

p e m d a s

Step-by-step explanation:

I hope it's helpful for you

The probability of choosing a rotten apple from the bag of apples is 4/5

Answers

When the probability of choosing a rotten apple from the bag of apples is 4/5, the term that describes the probability is C. likely.

How to calculate the probability?

It should be noted that probability simply means the occurence of a particular event. It should be noted that we know that the probability is between 0 to 1.

In this case, the probability of choosing a rotten apple from the bag of apples is 4/5. It should be noted that the probability is likely since it's close to 1.

Therefore, the correct option is C.

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The probability of choosing a rotten apple from the bag of apples is 4/5. Which term best describes this probability

impossible

unlikely

likely

certain

Question 2 (10 points)

Answers

Answer:

125.

Step-by-step explanation:

5^3

= 5 * 5 * 5

= 25 * 5

= 125.

AOC and BOD are diameters of a circle, centre O
Prove that triangle ABD and triangle DCA are congruent by RHS.
B

Answers

Triangle ABD is congruent to triangle DCA.

What is congruency of triangles?

Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. Two triangles are congruent if their respective sides are the same length and their corresponding angles are the same size.

Given, AOC and BOD are the diameters of a circle

Then, In triangles ABD and DCA,

∠BAD = ∠ADC = 90°

BD = CA (diameter)

AD = DA (common)

Thus, by RHS rule the triangles are congruent

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Hakeem is starting a running plan to train
for a race. In the first week of his running
plan, Hakeem will run 11 miles. The plan
calls for Hakeem to increase his weekly
milage by 2 miles every week. If Hakeem
sticks to the plan, how many miles would
he be expected to run during his 8th week
of the training plan?

Answers

Answer:

25 miles

Step-by-step explanation:

Hakeem is starting a running plan to train for a race. In the first week of his running plan, Hakeem will run 11 miles. The plan calls for Hakeem to increase his weekly milage by 2 miles every week. If Hakeem sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?

This can be described as:

11 + 2w

when w = week

because he runs 11 miles the first week, he only has 7 weeks of 2 mile increases:

11 + 2(7) = 25 miles

What is the value of z in the system shown below?
x+y+z=6
x + 2y = 5
2x+z = 5

Answers

Answer:  z = 3

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

Explanation:

I'll use the substitution method to solve this system of equations.

Solve the third equation for z

2x+z = 5

z = 5-2x

Then solve the second equation for y

x+2y = 5

2y = 5-x

y = (5-x)/2

y = -0.5x+2.5

Plug each of these into the first equation so we can solve for x.

x+y+z = 6

x+(-0.5x+2.5)+(5-2x) = 6

-1.5x+7.5 = 6

-1.5x = 6-7.5

-1.5x = -1.5

x = (-1.5)/(-1.5)

x = 1

Let's use this to find y and z

y = -0.5x+2.5 = -0.5*1+2.5 = 2

z = 5-2x = 5-2*1 = 3

Therefore,

x = 1

y = 2

z = 3

Or we can write it like this:  (x,y,z) = (1,2,3)

-------------------

Check:

Plug these values into equation 1 and simplify

x+y+z = 6

1+2+3 = 6

6 = 6

We get the same thing on both sides.

This confirms equation 1.

Repeat for equation 2.

x+2y = 5

1+2*2 = 5

1+4 = 5

5 = 5

This confirms equation 2.

Lastly, plug those values into equation 3

2x+z = 5

2*1+3 = 5

2+3 = 5

5 = 5

Equation 3 is confirmed.

All three equations are true when (x,y,z) = (1,2,3). The solution is fully confirmed.

Tessa has a coin jar full of dimes and pennies. When she took the coin jar to the bank, she was told that it contained exactly $27.34. Give three different combinations of the number of dimes and pennies that could have been in the coin jar.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

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