Whether or not they can be proven to be congruent.

Answer:

The desired equation is thus   y = 4x + 17

Step-by-step explanation:

The slope-intercept form of the equation of a straight line is y = mx + b.  There are two values to find:  slope m and y-intercept b.

The line passes through (4, 33).  Thus, 33 = m(4) + b.

The line also passes through (1, 21).  Thus, 21 = m(1) + b, or m = 21 - b.

Thus we have a system of linear equations to solve, and will use the substitution method:

Substitute 21 - b for m in 33 = 4m + b:

33 = 4(21 - b) + b, which, in expanded form, is 33 = 84 - 4b + b, or

                                                                             33 = 84 - 3b, of

                                                                             -51 = -3b.

Thus, b = 17.  Since m = 21 - b, when b = 17, m = 21 - 17 = 4

The desired equation is thus   y = 4x + 17

Of course there are other ways to find this equation.  You could, if you wished, find the slope of the line passing through the given points using the definition of slope, and then find the y-intercept.

Answer:

The lower left one.

Step-by-step explanation:

If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.

Answer:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]

Step-by-step explanation:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]              (Isolate parentheses)

[tex]3w-6=3w-6[/tex]                      (Add six to both sides to isolate one variable w)

[tex]3w=3w[/tex]                                  (Divide by three to isolate variable w)

[tex]w=w[/tex]

Because we got [tex]w=w[/tex], that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.

I hope this helped :)

Answer:

Option A is correct answer

hear is explaination

[tex]\longrightarrow{\blue{a.\:90}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] - 3xy[/tex]

Plugging in the values "[tex]x = 5[/tex]" and "[tex] y = -6[/tex]", we have

[tex] = - 3(5)( - 6)[/tex]

[tex] = - 3( - 30)[/tex]

[tex] = 90[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Ans

i cant see the pic

Step-by-step explanation:

Answer:

B) 45°

Step-by-step explanation:

Because we are dealing with a right triangle, we have one angle which is a right angle and 2 angles that are the same measure since sinA=sinB. Since all the interior angles of a triangle must add up to 180°, then m∠A=45° because 2(45°)+90°=180°.

Answer:

common difference = -6

Step-by-step explanation:

Answer:

A = 200.96 in² (Answer C)

Step-by-step explanation:

The formula for the area of a circle of radius (not diameter) is A = πr².

Here the diameter is 16 in, so the radius is half that, or 8 in.

Then the area of the circle in question is

A = π(8 in)² = 64π in²

If tis is evaluated, we get    A = 200.96 in² (Answer C)

The answer is (-4,-1). Hopes this helps :)

Answer:

Step-by-step explanation:

x²+10x+21=0

x²+10x+(10/2)²-(10/2)²+21=0

x²+10x+25-25+21=0

(x+5)²-4=0

(x+5)²=4

(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²

(x+y)²=x²+2xy+y²

coefficient of x=2y

y²=[(coefficient of x)/2]²=(2y/2)²=y²

Answer:

x = 23

Step-by-step explanation:

2x + 19 + 5x = 180

I say this because it is an angle that is equivalent to the one adjacent to 2x+19, which is on a straight line. That means it is equal to 180.

7x + 19 = 180

180 - 19 = 7x

161/7 = x

x = 23

Step-by-step explanation:

5x+2x+19=180

7x+19=180

7x=180-19

7x=161

x=161/7

x=23

if u want more ans

5x

5×23

115

2x+19

2×23+19

65

hope it helps

Answer:

3;  y=4

Step-by-step explanation:

2 should be distributed as 2y + 8; y = 4

2(y +4) = 4y

2y + 8 = 4y

8 = 2y

y = 4

Answer:

[tex]\frac{-4x+7}{2(x-2)}[/tex]

Step-by-step explanation:

[tex]For x \neq 1 \\\frac{\frac{3}{x-1}-4}{2-\frac{2}{x-1}}=\frac{\frac{3}{x-1}-\frac{4x-4}{x-1}}{\frac{2x-2}{x-1}-\frac{2}{x-1}}=\frac{\frac{-4x+7}{x-1}}{\frac{2x-4}{x-1}}=\frac{-4x+7}{2(x-2)}[/tex]

The equivalent expression is 2(x - 2) / (-4x + 7).

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the given expression:

[3/(x - 1) - 4] / [2 - 2/(x - 1)]

We need to find a common denominator for the two fractions in the numerator and denominator of the main fraction.

The common denominator for the numerator is (x - 1) and for the denominator is 2(x - 1).

We can then rewrite the expression as:

[3 - 4(x - 1)/(x - 1)] / [2(x - 1) - 2/(x - 1)]

Simplifying the numerator by distributing the -4:

(3 - 4x + 4) / (x - 1)

(-4x + 7) / (x - 1)

Now, simplifying the denominator by finding a common denominator:

2(x - 1) - 2/(x - 1)

= (2x - 2 - 2)/(x - 1)

= 2(x - 2)/(x - 1)

Substituting back into the original expression, we get:

(-4x + 7)/(x - 1) / [2(x - 2)/(x - 1)]

Multiplying by the reciprocal of the denominator:

(-4x + 7)/(x - 1) x (x - 1)/[2(x - 2)]

(-4x + 7)/[2(x - 2)]

Therefore,

The equivalent expression is 2(x - 2) / (-4x + 7).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!

√(x + 1) + 3 = 0   ==>   √(x + 1) = -3

has no real solutions, since the square root cannot be a negative number. But if we were to ignore that for the moment, one might try taking the square of both sides, which gives

(√(x + 1))² = (-3)²   ==>   x + 1 = 9   ==>   x = 8

But this is not a valid solution, since

√(8 + 1) = √9 = 3 ≠ -3

While -3 is a square root of 9, we had started off with the *positive* square root of x + 1.

Answer:

Number of oranges = 8

Step-by-step explanation:

let

a = number of apples

n = number of oranges

Number of apples = 6

Cost of each apple = 0.75

Number of oranges = n

Cost of each orange = $1.25

Total cost = $14.50

Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange

14.50 = 6 * 0.75 + n * 1.25

14.50 = 4.5 + 1.25n

14.50 - 4.5 = 1.25n

10 = 1.25n

n = 10 / 1.25

n = 8

Number of oranges = n = 8

Therefore, there are 8 oranges in a bagful of orange

Answer:

it is the second one

Step-by-step explanation:

the y intercept for the first one isnt the origin

It is decreasing from negative infinity to -2.5 for the first one

Answer:

x=16

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

fifty two millione and seven hundred thirty six thousand and fifty

Answer:

The x variable has an exponent of 2

Step-by-step explanation:

To be a linear equation, the highest power must be 1 on the variables

2x^2 +y =7 is quadratic since x^2 has a power of 2

Answer:

5.7 units

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

A² + B² = C²

x² + 15² = 17²

x² + 225 = 289

x² = 289 - 225

x² = 64

x = [tex]\sqrt{64}[/tex]

x = 8

Hope this helps!

Answer:

Original Price = $72.

Step-by-step explanation:

You first need to know that $3.60 is 5% of the original price.

Then you need to multiply by 20, because 100/5 is 20, meaning that the price multiplied is $72.

The answer is $72.

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

Answer:

The answer is (-2/3)x + 4.. I have added a picture with the solution

Answer:

11

Step-by-step explanation:

4s-2/7=6

4s-2=6×7

4s-2=42

4s=42+2

4s=44

s=44/4

s=11

Answer:

s = 11

Step-by-step explanation:

[tex]\frac{4s - 2}{7} = 6[/tex]

[tex]\frac{7}{1} * \frac{4s-2}{7} = 6 * 7\\[/tex]

[tex]{4s - 2} = 42\\ +2 = +2\\\\4s= 44\\\\\\ 4s/ 4 = 44/4\\s= 11[/tex]