Mathematics High School

Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?
A. y= -3/4x-5

B. y= 3/4x+1

C. y=4/3x-8

D. y= 11/4x+3

Answers

Answer 1

Answer:

Step-by-step explanation:

The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

Which Line Is Parallel To The Line That Passes Through The Points (1, 7) And (-3, 4)?A. Y= -3/4x-5B.

Related Questions

What is the solution for x in the equation?
-2x+14+ 10x=34
OA. x = 6
OB. x = 5/2
OC. x = 1/8
OD. x = 2/5

Answers

Answer:

B. x = 5/2

Step-by-step explanation:

-2x+14+ 10x=34

-2x+10x=34-14

8x=20

x=20/8 =5/2

K is an example of.
O an equation
O a formula
O a constant
O a variable

Answers

the answer is (a variable)

Answer:

a variable.

Step-by-step explanation:

I know this because I had a test today that I studied for but I of course failed it…

It was for math.

Through aregular hexagonal prism whose base edge is 8cm whose height 12 cm ahole in the shape of aright prism with its end being arhombus with diagonals 6cm and 8cm is drilled find total surface area of remaining solid and the volume

Answers

Answer:

96 cm2, 48 cm2

Step-by-step explanation:

Basically you times the first two questions and then the other 2, that leads you with the answer

guys omg please someone answer this asap this is due tmmr

Answers

Answer:

First, break the shape into smaller shapes.

Bigger rectangle: 5m, 8m

Thin rectangle: 7m, 3m

Thinner rectangle: 8m, 2m

We will call the bigger rectangle B, the thin rectangle R, and the thinner rectangle r.

Step-by-step explanation:

B = 8 • 5 = 40

R = 7 • 3 = 21

r = 2 • 8 = 16

Add the areas together:

40 + 21 + 16 = 77

Therefore, the area is 77 meters.

Parallel to y=−3/4x, through (4, -1)
Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.

y = ___x + ___

Answers

Answer:

[tex]y=-\frac{3}{4}x+2[/tex]

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= [tex]-\frac{3}{4}[/tex]

Parallel lines have the same slope. Thus, the slope of the line would also be [tex]-\frac{3}{4}[/tex].

[tex]y=-\frac{3}{4}x +c[/tex]

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

[tex]-1=-\frac{3}{4} (4)+c[/tex]

-1= -3 +c

Add 3 to both sides:

c= -1 +3

c= 2

Thus, the equation of the line is [tex]\bf{y=-\frac{3}{4}x+2[/tex].

Additional:

Do check out the following for a similar question on slope-intercept form!

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This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. cubes boxes number of cubes 1 n 5 625 8 1,000 what is the unknown value representing the unit rate? 8 125 140 156

Answers

The unknown value representing the unit rate is 125.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes.

Cubes boxes number of cubes

1 5

n 625

8 1,000

If the unit cube box has 5 number of cubes.

then,

n cubes boxes = 625/5

= 125

The unknown value representing the unit rate is 125.

Learn more about the unitary method;

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Answer:

125

Step-by-step explanation:

Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.
21,24,24,27,29
Find the standard deviation of the data set.
Round your answer to the nearest hundredth.
push-ups

Answers

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2: 7.6

Steps

look at attached pic for formula

σ^2 = [tex]\frac{Σ(xi - μ)^{2} }{N}[/tex]

[tex]\frac{(21 - 25)2 + ... + (29 - 25)2}{5}[/tex]

⇒ [tex]\frac{38}{5}[/tex]

⇒ 7.6

σ = [tex]\sqrt{7.6}[/tex]

⇒ 2.756809750418

⇒ or 2.76

hello people, can anybody solve it

Answers

[tex]\\ \rm\Rrightarrow \left(\dfrac{x^a}{x^{-b}}\right)^{a^2-ab+b^2}\times \left(\dfrac{x^b}{x^{-c}}\right)^{b^2-bc+c^2}\times \left(\dfrac{x^c}{x^{-a}}\right)^{c^2-ca+a^2}=1[/tex]

[tex]\\ \rm\Rrightarrow (x^{a+b})^{a^2-ab+b^2}\times (x^{b+c})^{b^2-bc+c^2}\times (x^{c+a})^{c^2-ac+a^2}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{(a+b)(a^2-ab+b^2)}\times x^{(b+c)(b^2-bc+c^2)}\times x^{(c+a)(c^2-ca+a^2)}=1[/tex]

a³+b³=(a+b)(a²-ab+b²)

[tex]\\ \rm\Rrightarrow x^{a^3+b^3}\times x^{b^3+c^3}\times x^{c^3+a^3}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{a^3+b^3+b^3+c^3+c^3+a^3}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{2a^3+2b^3+2c^3}=x^0[/tex]

[tex]\\ \rm\Rrightarrow 2(a^3+b^3+c^3)=0[/tex]

[tex]\\ \rm\Rrightarrow a^3+b^3+c^3=0[/tex]

The original price of a hat is $35. The sale price is $19.95. What is the percent of discount?

Answers

Answer:

43%

Step-by-step explanation:

19.95 ÷ 35 = .57 or 57%

100 - 57 = 43

Which are applications of mathematics in music? Select all that apply.

identifying measurements
calculating beats per minute
calculating the time signature
finding ratios of note frequencies
mapping marching band performances

Answers

Answer:

calculating beats per minute

6. What is the measure of angle A rounded to two decimal places? 15 A) 25.02° B)27.82° C) 62.18° D)64.98°

Answers

sin A=Perpendicular/ Hypotenuse

sin A = 7/15

A= arcsin(7/15)

= 27,82 degree

Answer is option (B)

In the figure, line p || line q. Find the measure of each angle if m<8 = 115

Answers

Answer:

65, 65, 115

Step-by-step explanation:

Attached image

Is 3²+3³ equal to 3⁵?
( yes, no ) the expressions (are, are not ) equal

Answers

Answer: No the expressions are not equal

Work Shown:

3² = 3*3 = 9

3³ = 3*3*3 = 27

3²+3³ = 9+27 = 36

3⁵ = 3*3*3*3*3 = 243

The 3²+3³ = 36 doesn't match up with 3⁵ = 243

Therefore, the two expressions are not equal.

Answer:

Step-by-step explanation:

No, the expressions are not equal.

3^2 + 3^3 = 9 + 27 = 36

3^2 * 3^3 = 3^5

keep the base the same and add the exponents

given the triangle below what is m<a, round to the nearest tenth?

Answers

The measure of angle A is 17.8

The correct option is (A)

What is angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

As, perpendicular from B to side AC

In triangle BDC,

its angles are 30°, 60° and 90°

So, the sides ratio be 1 :√3 : 2

Now,

BD : DC : BC = 1 :√3 : 2

= 11√3/2 : 11/2 : 11

Now, using trigonometry

Sin A = P /H

Sin A = BD/AB

=(11/2)/18

= 11/36

= 0.3055

m<A = 17.79 ≈ 17.8°

hence, the measure of A is 17.8°.

Learn more about this concept here:

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A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the parabola

Answers

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

What is a Parabola ?

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

To know more about Parabola

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Which expression is equivalent to -6(-2+2x)?
O −4-12%
O −4+2%
O 4-12%
O 4+12%

Answers

-6(-2+2x)

Use distributive law

a(b+c)=ab+ac

-6(-2)-6(2x)12-12x12(1-x)

((-7,1). (-3,2). (0, -2). (5, -5)}What are the domain and range of the function represented by the set of ordered pairs?

Answers

Answer:

Domain:{-7,-3,0,5}

Range:{1,2,-2,-5}

Step-by-step explanation:

i know because it works for me.

What expression represents this description? Twice the quantity m plus n

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find which expression represents the description "twice the quantity m plus n".

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Translate this phrase into an algebraic expression.

First, add m and n:

[tex]\star~\large\pmb{m+n}[/tex]

Now, multiply two times this sum:

[tex]\star~\large\pmb{2(m+n)}[/tex]

See, the parentheses around the sum show that we multiply two times both m and n.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

2(m + n)

Step-by-step explanation:

The words describe a quantity. "Twice" means two-times the previous amount. m and n are the unknown numbers that are being added, so you must put them in parentheses to indicate that they should be added first.

URGENT PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The attached graph represent the points in the domain -6 < x ≤ -2

How to graph the points?

The function is given as:

[tex]f(x) = \left[\begin{array}{ccc}-2&-6 < x \le -1\\1&-1 < x \le 2 & \\5 & 2 < x \le 4\end{array}\right[/tex]

The question says that we plot two points in the domain -6 < x ≤ -2

The domain -6 < x ≤ -2 means that the values of x are greater than -6, but they do not exceed -1

The function at this interval means that all values of x have an output value of -2

So, the two points to plot could be (-5,-2) and (-1,-2)

See attachment for the graph of the points

Answers

You can’t see the table

If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater than the one
represented in the table?
x y
5 11
10 22
15 33
10
9
3
022 Edmentum. All rights reserved.

Answers

The points (2, 8), (3, 9) and (4, 10) have a greater slope than the table

How to determine the points?

The table and the graph that complete the question are added as an attachment

Start by calculating the slope of the table using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (22 - 11)/(10 - 5)

m = 2.2

Next, we calculate the slope of each point on the graph when connected to the origin using:

m = y/x

So, we have:

(2,8) ⇒ m = 8/2 = 4

(3,9) ⇒ m = 9/2 = 3

(4,10) ⇒ m = 10/4 = 2.5

(5,8) ⇒ m = 8/5 = 1.6

(6,7) ⇒ m = 7/6 = 1.2

(7,6) ⇒ m = 6/7 = 0.9

By comparing the slopes with 2.2, we can see that only points (2, 8), (3, 9) and (4, 10) have a greater slope than the table

Hence, the points are (2, 8), (3, 9) and (4, 10).

Answers

Celina says true that each of the following expressions is actually a binomial expression.

What is binomial?

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a. 5abc - 2a² + 6abc = 11abc - 2a²