Find the equation of the line. Use exact numbers. y=___x+___

Answer:

d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just did it

Answer:

Hope it helps:) 18j+10

Step-by-step explanation:

(2)(3j+5+6j)

(2)(3j)+(2)(5)+(2)(6j)

6j+10+12j

18j+10

Answer:

The angle at vertex D is acute

Triangle DEF is a right triangle

Step-by-step explanation:

Acute means that the angle is smaller that 90degrees

Correct statement are,

The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Triangle DEF has a 90° angle at vertex E.

Since, In triangle DEF,

vertex E has 90 degree.

So, Possible value of angle E and F are less than 90 degree

Hence, The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ5

The set the describes the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

Read more about domain at:

https://brainly.com/question/1770447

#SPJ2

Answer:

Step-by-step explanation:

D is the answer

Answer:

-6,6

Step-by-step explanation:

x^2=36

6*6=36

-6*-6=36

Answer:

binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número

Step-by-step explanation:

Answer:

2 sqrt(5)

Step-by-step explanation:

To find the geometric mean to two numbers

sqrt( x*y)

sqrt( 5*4)

sqrt(5) * sqrt(4)

2 sqrt(5)

Answer: 58°

Step-by-step explanation:

They say the triangles are equal. And they give us more information for the triangle on the right.

∠E = ∠B

We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)

74 + 48 + ∠E = 180

122 + ∠E = 180

∠E = 58

So therefore ∠B = 58

Answer:

x = 29

Step-by-step explanation:

Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.

All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.

Because the triangles are congruent, ∠E corresponds to ∠B.

Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.

I hope this helps!!

Answer:

25.5x

Step-by-step explanation:

Simply convert the fraction into a decimal and add.

21/2x = 10.5x

10.5x + 15x = 25.5x

If you want to keep it in fraction form, 15 is 30/2, so,

30x/2 + 21x/2 = 51x/2

Answer:

51x/2

Step-by-step explanation:

Add it like a normal fraction equation

Have them both with the same denominator of 2

30/2 + 21/2

Add the numerators

51/2

Now put the x into the numerator since it started as in the numerator

Answer: 51x/2

Hope this helps!

Answer:

8

Step-by-step explanation:

4/4=1

3/3=1

1+1+6=8

Answer:

Last option is the correct choice.

Step-by-step explanation:

Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]

Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]

Lines A and B intersect, because their slopes have no relationship.

Best Regards!

Lines A and Line B intersect, because their slopes have no relationship.

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

Line A passes through the points (-8, 5) and (-5, 4)

Let

x₁ = -8, y₁ = 5

x₂ = -5, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m₁ = (4 - 5)/(-5 - (-8))

m₁ = (4 - 5)/(-5 + 8)

m₁ = -1/3

So, the slope of the line A is -1/3

Line B passes through the points (0, 1) and (4, -1).

m₂ = (-1 - 1)/(4 - 0)

m₂ = (-2)/(4)

m₂ = -1/2

So, the slope of the line B is -1/2

Hence, Lines A and Line B intersect, because their slopes have no relationship.

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ2

Answer:

A.) It is not in standard form because the degree of the first term is not greater than six.

Step-by-step explanation:

Answer:

Step-by-step explanation:

9/7, 14/3, 4/7, 30/29, 14/15

Answer:

A, a rhombus has all the properties of a square.

Step-by-step explanation:

Not all quadrilaterals will be the same

Answer:

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Step-by-step explanation:

For Ash's Train;

Distance travelled d1 = 80km

Time taken t1 = 50 minutes = 5/6 hour

Average speed = distance travelled/time taken

v1 = d1/t1

Substituting the values;

v1 = 80/(5/6)

v1 = 96km/h

For Misty's train;

Total distance travelled d2 = 160 km

Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes

t2 = 2.5 hours

v2 = d2/t2 = 160/2.5

v2 = 64 km/h

the difference, in km/h, between the average speed of their trains is;

∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Answer:

32km/h

Step-by-step explanation:

Answer: x + 12.7 = -25.2 ✓given

x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality

x + 0 = -37.9 ✓ Additive inverse and simplification

x = -37.9 ✓ Identity property

Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?

Answer:

Step-by-step explanation:

After one year

A=p(1+r/n)^nt

=2000(1+0.03/12)^12*1

=2000(1+0.0025)^12

=2000(1.0025)^12

=2000(1.0304)

=$2060.8

After two-years

A=p(1+r/n)^nt

=2060.8(1+0.03/12)^12*2

=2060.8(1+0.0025)^24

=2060.8(1.0025)^24

=2060.8(1.0618)

=$2188.157

After three years

A=p(1+r/n)^nt

=2188.157(1+0.03/12)^12*3

=2188.157(1+0.0025)^36

=2188.157(1.0025)^36

=2188.157(1.0941)

=$2394.063

Amount in account after one year, two and three years are respectively  $2,060 , $2,121.8 and $2,185.45

Given:

Principal amount = $2,000

Rate of interest = 3% = 0.03

Amount in account after one year

A = P(1+r)ⁿ

A = 2,000(1+0.03)¹

A = 2,000(1.03)¹

A = 2,000(1.03)

A = $2,060

Amount in account after two year

A = P(1+r)ⁿ

A = 2,000(1+0.03)²

A = 2,000(1.03)²

A = 2,000(1.0609)

A = $2,121.8

Amount in account after three year

A = P(1+r)ⁿ

A = 2,000(1+0.03)³

A = 2,000(1.03)³

A = 2,000(1.092727)

A = $2,185.45

Learn  more:

https://brainly.com/question/15064123?referrer=searchResults

Answer:

Part A ) Option A, Option C, Option E

Part B ) 1200 cm^2

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]

Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;

[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!

[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]

Hope that helps!

Answer:

a = √a b = √5 c = √10

ac/b = (√a)(√10)/√5

= √ 10 × a /√5

= √10a / √5

Rationalize the surd

√10a ×√5/(√5)²

= √50a /5

= 5√2a/ 5

= √2a

The final answer is √2a

Hope this helps

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

[tex]\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ[/tex]

Next, we determine the value of Angle B.

[tex]\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ[/tex]

Finally, we find b.

[tex]\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)[/tex]

The distance between the small plane and the observation tower is 7.9km.

Answer:

[tex]1 - p[/tex]

Step-by-step explanation:

Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that

[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].

So

[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].

But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.

Answer:

1st Option

Step-by-step explanation:

Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]

Simply plug in 8 as a and 6 as b.

Answer:

A.

Step-by-step explanation:

Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)

[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]

Answer:

3 acute angles.

Step-by-step explanation:

Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.

An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.

The answer of this is C: 43

Answer:

C)43ft

Step-by-step explanation:

Area= pi*r(squared)

Pi*3.7(squared)=43.00

So answer=43pi(squared)

Answer:

Step-by-step explanation:

I THINK IT C

Answer:

see below

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 from each side

2/3y + 15-15 = 9-15

2/3y = -6

Multiply each side by 3/2 to isolate y

3/2 * 2/3y = -6 *3/2

y = -9

Answer:

y = - 9

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 on both sides.

2/3y = 9 - 15

2/3y = - 6

Multiply both sides by 3/2.

y = - 6 × 3/2

y = -18/2

y = -9