What is the value of x?

A. 142
B. 152
C. 76
D. 71

Answer:

i think that the answer is the first equation

Step-by-step explanation:

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Option C is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the equation of the line passing through the points (0, 3) and (6, 11).

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we can find the slope of the line by using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

where

[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]

So,

m = (11 - 3) / (6 - 0) = 8/6 = 4/3

The slope of the line is 4/3.

Next,

We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:

[tex]y - y_1 = m(x - x_1)[/tex]

Choosing the point (0, 3), we get:

y - 3 = (4/3)(x - 0)

Simplifying and solving for y, we get:

y = (4/3)x + 3

Therefore,

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Learn more about equation of a line here:

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Answer:

1 ≥ t ≤ 3

Step-by-step explanation:

Given

h(t) = -16t² + 64t + 4

Required

Determine the interval which the bar is at a height greater than or equal to 52ft

This implies that

h(t) ≥ 52

Substitute -16t² + 64t + 4 for h(t)

-16t² + 64t + 4 ≥ 52

Collect like terms

-16t² + 64t + 4 - 52 ≥ 0

-16t² + 64t - 48 ≥ 0

Divide through by 16

-t² + 4t - 3 ≥ 0

Multiply through by -1

t² - 4t + 3 ≤ 0

t² - 3t - t + 3 ≤ 0

t(t - 3) -1(t - 3) ≤ 0

(t - 1)(t - 3) ≤ 0

t - 1 ≤ 0 or t - 3 ≤ 0

t ≤ 1 or t ≤ 3

Rewrite as:

1 ≥ t or t ≤ 3

Combine inequality

1 ≥ t ≤ 3

Answer:

The measure of the indicated exterior angle is 110°

Step-by-step explanation:

Let us revise the rule of the exterior angle

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

We will use this rule to solve the question

∵ The ladder, the house, and the ground formed a right triangle

∵ The ladder's angle with the ground facing away from the house is

   an exterior angle of the triangle

∵ The angles of measures 90° and 20° are its opposite interior angles

→ By using the rule above

∴ The measure of the exterior angle = 90° + 20°

∴ The measure of the exterior angle = 110°

∴ The measure of the ladder's angle with the ground facing away

   from the house is 110°

∴ The measure of the indicated exterior angle is 110°

a ) smaller is correct answer

Answer:

h(x) = x-3

Step-by-step explanation:

The inverse of a function works such that f(h(x)) = x. Also, f(h(x)) = h(x) + 3. Thus, x = h(x) +3 -> h(x) = x-3

i hope this helps!!! :)

Answer:

x=4 y=-4

Step-by-step explanation:

Step: Solve5x+2y=12for x:

5x+2y=12

5x+2y+−2y=12+−2y(Add -2y to both sides)

5x/5=−2y+12/5

x= −2/5y+12/5

−2/5y+12/5 for x in5x−2y=28

5(−2/5y+12/5)−2y=28

−4y+12=28(Simplify both sides of the equation)

−4y+12+−12=28+−12(Add -12 to both sides)

−4y=16

−4y/−4=16/−4

(Divide both sides by -4)

y=−4

Substitute −4 for y in x=−2/5y+12/5

x= −2/5y+12/5

x=−2/5(−4)+12/5

x=4

Answer:

D=11

Step-by-step explanation:

Answer:

d = 11

Step-by-step explanation:

Hope this help!  Have a great day!

Answer:

x=  3y+2

Step-by-step explanation:

Answer:

{(5,9), (-6,1),(6,5),(-8,5)}

Step-by-step explanation:

There is no repeating X factor

Answer:

y=2x-5

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2

[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2

[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of

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

*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5

giving you y=2x-5

Answer:

216

Step-by-step explanation:

8×20=160 and 8×7=56 160+56=216 idky u told me to do it in my head but i did so ya

Answer:

A.) 6x2+2x−7

Step-by-step explanation:

Answer:

6x^2 + 2x - 7.

trust me i just did it

Step-by-step explanation:

y=3x+19

Step-by-step explanation:

equation parallel to y=3x+3 means having the same gradient .Here gradient is 3 where you equate equation with y=mx +c where m is the gradient and c is the y-intercept

Equation of line y=3x+c

you must find c ,replace point (-3,10) in equation y=3x+c

10=3(-3)+c

10=-9+c

10+9=c

c=19

equation of line parallel to y=3x+3 that passes through(-3,10) is y=3x+19

Answer: Side Angle Side (SAS) is a rule used to prove whether a given set of triangles are congruent. In this case, two triangles are congruent if two sides and one included angle in a given triangle are equal to the corresponding two sides and one included angle in another triangle.

Step-by-step explanation: I got this from a website, Hope it helps!!!

Answer:

Longer leg is placed on X axis.

Let the longer leg be at A(0,0) and B(3 a,0),or (-3 a,0), which is  either base or altitude.

AB= 3 a

As longer leg = 3 × shorter leg

Shorter leg should be placed  either at (0,a) or (0,-a) maintaining triangle as right angled triangle.

Step-by-step explanation:

Answer:

multiply 10 times 6

= 60*8 and then divide by 3

Step-by-step explanation:

Answer:

multiply 10 times 6= 60*8 and then divide by 3

Step-by-step explanation:

multiply 10 times 6= 60*8 and then divide by 3

Answer:

2 miles = 3218.6 com

3km = 3000m

ATQ, 2 miles - 3km =

3218.6m - 3000m =

218.6m

Answer:

C & B

Step-by-step explanation:

Answer:

D, and A

Step-by-step explanation:

D because a straight line can not have a slope.

A because a straight line without a slope is shown, and located at x=4

Answer: x=27

Step-by-step explanation:

Just like square root but cube root is by 3 not 2. So to cube something is to times it by itself 3 times. 3x3x3=27

Answer:

50

Step-by-step explanation:

Answer:

∠ 2 = 50°

Step-by-step explanation:

5x + 55 and 2x + 100 are corresponding angles and are congruent, thus

5x + 55 = 2x + 100 ( subtract 2x from both sides )

3x + 55 = 100 ( subtract 55 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

5x + 55 = 5(15) + 55 = 75 + 55 = 130°

5x + 55 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - 130° = 50°

Answer:

one costs 17 dollars the other costs 55 dollars

Step-by-step explanation:

we have to make 2 equations using variables

x=shirt 1

y= shirt 2

y+x=72

x=3y+4

then substitute 3y+4 for x in the first equation

y+3y+4=72

subtract 4 and add y and 3y

4y=68

divide by 4

y= 17

use this for y in the second equation

x=3(17)+4

x=51+4

x=55  

Answer:

-2

Step-by-step explanation:

(x,y)

Answer:

-2

Step-by-step explanation:

is it not that simple? im not sure im pretty sire its just 2 though

Answer: positive then greater than

Step-by-step explanation:

Step-by-step explanation:

Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into

1) Arithmetic

2) Geometric

Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.

Given a sequance of numbers say;

T1, T2, T3...

The first term "a" of the sequence is T1

Common difference d = T2-T1 =T3-T2

Common ratio = T2/T1 = T3/T2

The formula for calculating nth term of an Arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

The nth term of a Geometric sequence is expressed as;

Tn = ar^{n-1}

r is the common ratio

Numbers are arranged in a sequence when they follow a predetermined or established pattern. Sequences can be divided into

1) Mathematics

2) Graphitic

Geometric sequences are characterized by their common ratio, whereas arithmetic sequences are distinguished by their common difference.

Suppose a sequence of numbers is given;

T1, T2, T3...

The sequence's initial term "a" is T1.

common distinction d = T2-T1 =T3-T2

T2/T1 Common Ratio T3/T2

The following is the formula for finding the nth term in an arithmetic sequence:

Tn = a+(n-1)d

The first term is a.

The number of terms is n.

d is the typical discrepancy

The nth term of a Geometric sequence is expressed as;

[tex]T_{n} =ar^{n-1}[/tex]

r is the common ratio

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Answer:

127 degrees

Step-by-step explanation:

Interior Congruent Angles

Also if it asks for angle 4 or 5, just know on one side like 6 and 4, they must add up to 180 degrees, so that males angle 4, 53 degrees.

Answer:

y=-12x+250

Step-by-step explanation:

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Answer:

C is the anser i belive i im wrong im sorry

Step-by-step explanation: