In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.

Given:

A line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex].

To find:

The equation of line.

Solution:

If a line passes though a point [tex](x_1,y_1)[/tex] and has a slope m, then the equation of line is

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

The line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex]. So, the equation of line is

[tex]y-2=-\dfrac{3}{2}(x-(-6))[/tex]

[tex]y-2=-\dfrac{3}{2}(x+6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-\dfrac{3}{2}(6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-9[/tex]

Add 2 on both sides.

[tex]y=-\dfrac{3}{2}(x)-9+2[/tex]

[tex]y=-\dfrac{3}{2}x-7[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{3}{2}x-7[/tex].

Answer:

[tex] - 22 x - 8[/tex

okvsxhxhxhdhdh

Answer: 4x^2+9x+18

Step-by-step explanation: yes

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

We have,

Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":

= 7x

In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).

Both expressions are equivalent and correctly represent "the product of a number and 7."

Thus,

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

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Answer:

$2304.5

Step-by-step explanation:

The balance after 8years=P(1+R/100)^t

=1000(1+11/100)^8

=$2304.5

Answer:

3/4

Step-by-step explanation:

reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables

Answer:

the answer is C

Step-by-step explanation:

edge

Answer:

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(x-2\right)\left(x-m\right)=x^2-bx+60[/tex]

switch sides

[tex]x^2-bx+60=\left(x-2\right)\left(x-m\right)[/tex]

subtract x² from both sides

[tex]x^2-bx+60-x^2=\left(x-2\right)\left(x-m\right)-x^2[/tex]

simplify

[tex]-bx+60=-mx-2x+2m[/tex]

subtract 60 from both sides

[tex]-bx+60-60=-mx-2x+2m-60[/tex]

simplify

[tex]-bx=-mx-2x+2m-60[/tex]

subtract x from both sides;  x≠0

[tex]\frac{-bx}{-x}=-\frac{mx}{-x}-\frac{2x}{-x}+\frac{2m}{-x}-\frac{60}{-x};\quad \:x\ne \:0[/tex]

simplify

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Thus,

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Answer:

72%

Step-by-step explanation:

90% of 80 is 72.

Therefor, 90% of 80% is 72%

Answer:

11

Step-by-step explanation:

Answer:

y - 6 = - 3(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (- 1, 6) , then

y - 6 = - 3(x - (- 1) ) , that is

y - 6 = - 3(x + 1)

Answer:

your answer would be y - 6 = - 3(x + 1)

Step-by-step explanation:

hopes this helps!:)

Answer:

3/4

Step-by-step explanation:

Answer: 38.69

Step-by-step explanation:

Just do 25.64 + 13.05

Answer: 38.69

Step-by-step explanation:

The volume v of the described solid s = 8 cubic units .

Given : a parabola y = 4 - ( x ^ 2 )

Writing eq . y = 4 - ( x ^ 2 ) in terms of x ,

( x ^ 2 ) = 4 - y

x = ± [tex]\sqrt{4 - y}[/tex]

A ( y ) = ± [tex]\sqrt{4 - y}[/tex] * ( ± [tex]\sqrt{4 - y}[/tex] )

A ( y ) = 4 - y

Volume the given solid = [tex]\int\limits^4_0 {( 4 - y )} \, dy[/tex]

                                        = 4 ( 4 ) - [ ( 4 ^ 2 ) / 2 ]

                           = 16 - 8

                           = 8

Hence , the volume v of the described solid s = 8 cubic units .

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Answer:

Step-by-step explanation:

y=x+b

Answer: i think its D

Step-by-step explanation:

Answer:

The equation in slope-intercept form will be:

Step-by-step explanation:

Given

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14  in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

Answer:

D. 60/10

Step-by-step explanation:

The meaning of the quotient −936 in terms of Cassie's situation is that the total the total bill is 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct.

It should be noted that it was stated that Cassie is having a party at a restaurant with 5 of her friends and the group's total bill, in dollars, can be represented as the integer -936.

Therefore, it should be noted that the total bill will be:

= 936 × 6

= 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct

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Answer: -2

Step-by-step explanation:

f(x) = 2x + 3, g(x) = 3x + 1

(f • g)(-1)=

f(-1)*g(-1)=

(2(-1)+3)*(3(-1)+1)=

(-2+3)(-3+1)=

1*(-2)=-2

Answer:

-8

Step-by-step explanation:

 Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -3 * the result of step No. 1 = -3 * (-6.3382530011411×1029 ) = 1.9014759003423×1030

Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -4 * the result of step No. 3 = -4 * (-6.3382530011411×1029 ) = 2.5353012004565×1030

Subtract: the result of step No. 2 - the result of step No. 4 = 1.9014759003423×1030 - 2.5353012004565×1030 = 1.9014759003423×1030 - (2.5353012004565×1030 ) = -6.3382530011411×1029

Exponentiation: 2 ^ 96 = 7.9228162514264×1028

Divide: the result of step No. 5 / the result of step No. 6 = -6.3382530011411×1029 / 7.9228162514264×1028 = The answer -8

please mark me braliny

Answer:

Figure 1: A , D

Figure 2: B, E

Figure 3: C, F

Hope that helps!

Step-by-step explanation:

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

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Answer:

12.8840987267

Step-by-step explanation:

Answer:

[tex]\sqrt{166}[/tex] = 12.8

Step-by-step explanation:

5x - 7 = 19

Add 7 to both sides:

5x = 26

Divide both sides by 5:

x = 26/5

[tex]5x - 7 = 19[/tex]

Move -7 to another side and become + 7. Whenever we move to another side, we change the sign/operator to opposite. Ergo, changing from plus to minus and multiply to divide.

[tex]5x = 19 + 7 \\ 5x = 26[/tex]

We are at this part. Now to move 5 which is multiplying the x. So we move 5 from multiply to divide 26.

[tex]x = \frac{26}{5} [/tex]

Ergo, the answer is x = 26/5

The answer is A or the 1 selectible option

You just need to look at it from left to right

Answer:

d

Step-by-step explanation:

When you exponent an exponent with another exponent, you multiply them together

[tex]Answer:\ x^\frac{1}{2}[/tex]

Step-by-step explanation:

[tex](x^\frac{1}{6})^3=\\\\ x^\frac{1*3}{6}=\\\\ x^\frac{3}{2*3} =\\\\x^\frac{1}{2}[/tex]

Answer:

5

Step-by-step explanation:

distance formula= radical[(x_2 - x_1)^2 + (y_2 - y_1)^2]

= radical[(1-5)^2 + (6-9)^2]

= radical(16+9)

= radical(25)

= 5

Answer:

OWO

Step-by-step explanation:

ADD Divide