Which value for the constant d makes x=-1 an extraneous solution in the following equation? square 8-x = 2x + d. PLEASE

Answer:

The lines meet at (-1, -3)

Step-by-step explanation:

Line A :

[tex](x_1, y_1) = (3, 3) \ ; \ slope, \ m_A = \frac{3}{2}\\\\Equation \ of \ line \ A : (y - 3) = \frac{3}{2}(x - 3)[/tex]

                             [tex]2(y - 3) = 3(x-3)\\2y - 6 = 3x - 9\\2y = 3x - 9 + 6\\2y = 3x -3[/tex]

Line B :

[tex](x_2,y_2) = (-4, -2) \ ; \ slope , m_B = -\frac{1}{3}\\\\Equation \ of\ line \ B: (y -(-2)) = -\frac{1}{3}(x -(-4))[/tex]

                             [tex]3(y + 2) = -1(x+4)\\3y + 6 = -x -4\\3y = -x - 4 - 6 \\3y = -x - 10[/tex]

Solve for x and y from the linear equation to find where line A and line B meets :

2y = 3x - 3 => 3x - 2y = 3 ------- (1)

3y = -x - 10 => -x = 3y + 10

                => x = - 3y - 10 --------(2)

Substitute (2) in (1) : => 3(- 3y - 10) - 2y = 3

                                   -9y - 30 -2y = 3

                                       -11y = 3 + 30

                                         -11y = 33

                                            y = -3

Substitute y in (2) : => x = -3 (-3) - 10 = 9 - 10 = -1

Answer:

20

Step-by-step explanation:

sqrt((18-6)^2+(17-1)^2)

Inside parentheses first

sqrt((12)^2+(16)^2)

Then square inside the parentheses

sqrt(144+256)

Sqrt(400)

Taking the square root

20

[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{{(12)}^{2}+ {(16)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{144+ 256} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{400} }[/tex]

[tex]\quad \quad \quad \quad\tt{ = 20}[/tex]

[tex]\quad \quad \quad \quad \huge\boxed{ \tt{ \color{green}20}}[/tex]

________

#LetsStudy

Answer:

-2/3

Step-by-step explanation:

The slope would be negative 2 over 3

Answer:

We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.

Step-by-step explanation:

Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.

Answer:

See explanation below

Step-by-step explanation:

1. 10 students didn't talk on the phone because they've spent zero hours on the phone.

2. 3 hours is the largest number of hours

Answer:

the pursuit can affect your hands

Answer:

Rectangular prisms are six-sided polygons; three-dimensional shapes of which all sides meet at 90-degree angles, like a box. Cubes are a special type of rectangular prism of which all sides are the same length; this is the key difference between cubes and other rectangular prisms.

Step-by-step explanation:

i hope my answer to be appreciated!!

Answer:

28cm

Step-by-step explanation:

Area of a parallelogram equals the base length, which is y cm, multiplied by the height, which is 18cm.

So

Area= 504cm

y cm (base) x 18 cm (height) = 504cm^2 (area)

y cm = 504cm^2 / 18cm

y cm = 28cm

Answer:

28 cm

Step-by-step explanation:

Just use some good ol' algebra:

18y = 504

y = 28 cm

A parallelogram is basically a wonky rectangle, so it uses the same formula for area.

Answer:

6 hours ( i think)

Step-by-step explanation:

new crew = 12 hours, experienced crew = 6 hours

new crew + experienced crew = 12 hours and 6 hours

the help that they get together ; 12-6

Answer:

1795.5 [tex]m^3[/tex]

Step-by-step explanation:

find area of base (it's a trapezoid)

[tex]\frac{b_1+b_2}{2} *h\\\\=\frac{11+16}{2} *9.5\\\\= 13.5*9.5\\\\=128.25[/tex]

multiply area of base by height

128.25 x 14

= 1795.5 [tex]m^3[/tex]

Answer:

X^2/3

Step-by-step explanation:

Answer:

0.6 or [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) we get that the hypotenuse is 5.

so the cos V is adjacent over the hypotenuse. so if adjacent is 3 and hypotenuse is 5, the answer is [tex]\frac{3}{5}[/tex] which equals 0.6 in decimal form.

Answer:

it will take about 14.3 years

Answer:

107

Step-by-step explanation:

EFD + 135 = 180

EFD = 45

DEF + 28 + 45 = 180

DEF + 73 = 180

DEF = 107

Answer:

∠ DEF = 107°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

135° is an exterior angle of the triangle , then

∠ DEF + 28° = 135° ( subtract 28° from both sides )

∠ DEF = 107°

Answer:

it will tale 11weeks to pay back his friends and he will have $112left after.

Step-by-step explanation:

88÷8=11.

200- 88 =112

Answer:

The last digit is 2

Step-by-step explanation:

I just plugged in different digits as the end of 41875 and divided by 18.

Entered in 418750. Got a decimal.

Entered in 418751 and divided by 18. Got a decimal.

Entered in 418752 and divided by 18. Got 23,264.

Entered in 418753 and divided by 18. Got a decimal.

Entered in 418754 and divided by 18, got a decimal.

418755, decimal

418756, decimal

418757, decimal

418758, decimal

418759, decimal

Answer:

Acute angled and scalene because if the sum of two angles is 110 then the third angle should be 70 which is acute angle

Answer:

Find the volume of this prism.

Answer:

210

Step-by-step explanation:

15 = 3 x 5

14 = 2 x 7

7 = 7

LCM = 3 x 5 x 2 x 7 = 210

Answer:

210

Explanation:

find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Answer:

São todas planas.

Step-by-step explanation:

São todas planas.

Answer:

The intercept is the coordinate by which a line crosses the x or y-axis. in the slop-intercept form, the intercept is for the y-axis and is included at the end of the formula as 'b,' bound by either adding or subtracting. Ex. y= 2x+6. y-intercept=6

Answer:

the final price is $ 163 can be wrong

Profit: $78.60

Revenue: $340.60

Answer: Hello your question lacks some details attached below is the complete question

answer:

Step-by-step explanation:

The steps required to draw an arc intersecting the line that will create a segment with length PQ are ;

Place a compass at point Q ,  measure arc PQ

Draw an arc with the compass that is equal to PQ ,  Place the compass at point R ,   cut through the line to the left of R with the arc in compass,

Assume the new points to be P' and R be Q' ,   where P' Q' will become the new image of PQ with their end point will be R

Answer:

Set the compass width to the length PQ by putting one end on P and the other and on Q

Without changing the width, move the compass so one end is on R and the other end is on the line containing R

Draw an arc across the line using R as the center

Mark the point where the arc crosses the line as point S

RS is the copied segment.

Step-by-step explanation:

1/2

Hope this helps! :)

______________

Answer:

1/2

Step-by-step explanation:

you use rise/run so its  (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50