Which pair of lines are perpendicular?


y = -4x + 1 and 8x + 2y = -10

x = 4 and y = -1

y = -8 and y = 2

x - y = 7 and y = x + 3

Answer:

16

Step-by-step explanation:

Answer: Width = 49meters; Length = 59meters

Step-by-step explanation:

Let the width be represented by x

The length will be (x+10)

Perimeter = 2(length+breadth)

Perimeter= 2(x + x + 10)

Perimeter = 2(2x + 10)

216 = 4x + 20

4x = 216 -20

4x = 196

x = 196/4

x = 49

Width = 49meters

Length = x+10

Length = 49 + 10

Length = 59meters

Answe: 3rd one

Step-by-step explanation:

Answer:

bottom right due to X being grater then 2 on the X-axis

Answer:

well, they all give you answers as fractions,

A.=1/9

B.=1/64

C.=1/64

Step-by-step explanation:

Answer:

Step-by-step explanation:

S+J+M=36

J=S-2 or J=x-2

M=S-16 or M=x-16

Answer:

Jake: x-2 and Matthew: x-16  (I think it is C on your sheet.)

Step-by-step explanation:

x = Sarah

x-2 = Jake

x-16 = Matthew

Answer:

$8.50/h

Step-by-step explanation:

I am unsure of the - in the equation. This should be 4h+50+6h+70=M

then we would set the equation equal to the $205

205=4h+50+6h+70

if we simplify we have

205=10h+120

then we would get the h by itself and we get

205-120=10h

85.00=10h

85.00/10=10h/10

8.50=h

To solve algebraic equations, we must combine like terms and perform inverse operations on both sides of the equal sign to isolate the variable.

Inverse operations help us cancel values out.

[tex]- 4 a - 2 a = - 18[/tex]

⇒ First, combine like terms:

[tex]- 6a = - 18[/tex]

⇒ a is being multiplied by -6. To isolate a, divide both sides by -6:

[tex]\dfrac{- 6a}{-6} = \dfrac{- 18}{-6}\\\\a=3[/tex]

a = 3

Answer:

a=3

Step-by-step explanation:

-4a-2a=-18

-6a= -18

Divide both sides by -6

-6a/-6=-18/-6

a=3

Answer:

2x-3=7 /×3

2x=3+7

2x=10 /÷2

x=5

Answer:

Step-by-step explanation:

2x - 3 = 7                         Add 3 to both sides

2x - 3+3 = 7 + 3                Combine

2x = 10                              Divide by 2

2x/2 = 10/2                       Combine

x = 5

These types of equations all follow the same pattern. The look like

ax + b = c                         You have to isolate the x so add b if b is minus or you subtract b if b is plus. Notice that b was minus in your question. So Add

Now you you have

ax  =  c - b                      That always happens. The x is isolated if you deal with b first. Now all you need to do is divide by a.

x = (c - b)/a

Try a couple

3x -4 = 5                       The answer is 3

5x + 2 = 27                   the answer is 5

Answer:

subtract 180 from the other two angles

Step-by-step explanation:

triangle involves 3 angles with x's in the equation, set the 3 angles = to 180 and solve

Answer:

Lowest term

Step-by-step explanation:

you can write a ratio using a fraction form, a colon form, and a word form. The lowest term is just a part of an answer.

Answer:

53.5

Step-by-step explanation:

Answer:

she drove b 53.5 mi

Step-by-step explanation:

214 divided by 4

Hey there!

5 = 1/4(a + 5)

1/4(a + 5) = 5

1/4(-4 + 5) = 5

1/4(-4) + 1/4(5) = 5

1/4(-4) + 1/4(5)
= -1 + 5/4

= -1/1 + 5/4

= 1/4

1/4 ≠ 5
0.25 ≠ 5

Thus, your answer should most likely be: [FALSE] because the numbers are NOT equivalent to each other.

“a” should equal to “15”

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

4

The dot in the middle simply means multiplication. 4.4 is 16. 16/4 is 4

Step-by-step explanation:

Answer:

The normal force is the force that a surface makes on an object that lies on that surface.

As the book rest flat in the table, the force acting on the book will be the gravitational force. This force pulls down the book against the table, then the normal force will be opposite to this, then the direction of this force is upwards. Being more exact, the normal force always acts on the normal direction to a given surface, to find the normal of a surface, you need to find the plane of the surface, then any perpendicular line to that surface will be "normal" to the surface (and the normal direction points away from the surface) then if the book is resting on top of the table, the direction of the normal will be upwards..

Then the force that acts on the book is normal to the surface of the table,

Answer:

prosss the 5 with the diameter of it the ans will come

Step-by-step explanation:

use the formula of slope:

(y2-y1)/(x2-x1)

Answer:

2.25 seconds, 86 feet.

Step-by-step explanation:

No idea where the r, second is, so I'm assuming that t is time in seconds.

Because this is a perfect parabola, we can find the zeroes (the places where the y value is 5, because that's where the teacher is launched from) and then get the middle of those 2 points.

First let's make the a term of this equation be positive so multiply everything by minus one.

16t^2-72t-5

After that, let's factor this (I won't go into details about this, you should already know how to do this if your asking this question)

we get t(t - 4.5) = 5

So the 2 x values are 0 and 4.5, and the whole flight time of the teacher is 4.5 seconds.

The half way between that is 2.25, and then we can plug that time back in to the equation to get a y value of 86.

Answer:

2

Step by step explanation:

Given: The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?

Find out: how many students were there in the class room after one student left

Solution: Let the total number of remaining student be= n

Let the total number of remaining student be= nAnd the sum of mass of all the students be = x kg

So,

[tex] \frac{x}{n + 1} = 35.1[/tex]

Make x the subject of formula

[tex]--› \: x = 35.1(n + 1)[/tex]

And

[tex]--› \: \frac{x - 32.3}{n} = 36.3[/tex]

[tex]--›x - 32.3= 36.3n[/tex]

[tex]--› \: 35.1(n + 1) - 32.3 = 36.3n[/tex]

[tex]--› \: 35.1n + 35.1 - 32.3 = 36.3n[/tex]

[tex]--› \: 2.8 = 1.2n[/tex]

divide both side by n

[tex]n = \frac{2.8}{1.2} [/tex]

N = 2.333

so total number of students remaining is 2

Answer:

OK I'm just gonna guess this but I think its B. 130? Cuz honestly it makes the most sense.

Step-by-step explanation:

If it's wrong sorryyyy...

Answer:

There are 364,000 people in the Air Force.

Step-by-step explanation:

Percentages

The N% of a number M is calculated by:

[tex]\displaystyle \frac{N*M}{100}[/tex]

For example, 15% of 280 is

[tex]\displaystyle \frac{15*280}{100}=42[/tex]

We know the total amount of people serving as of January is estimated to be 1,400,000 people and that 26% of them are serving in the Air Force.

Compute 26% of 1,400,000:

[tex]\displaystyle \frac{26*1,400,000}{100}=364,000[/tex]

There are 364,000 people in the Air Force.

Answer: A and C

Step-by-step explanation:

Answer:

- 9

Step-by-step explanation:

We require

- 15 , m₁, m₂, m₃, 9

The average of the end values gives m₂ , that is

m₂ = [tex]\frac{-15+9}{2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Similarly, the average of - 15 and m₂ gives m₁

m₁ = [tex]\frac{-15-3}{2}[/tex] = [tex]\frac{-18}{2}[/tex] = - 9

The first arithmetic mean m₁ = - 9

Answer:

[tex]1848 ways[/tex]

Step-by-step explanation:

[tex]=(12nCr2)(8nCr2)=(66)(28)=1848[/tex]

Hope this helps

Step-by-step explanation:

what we trying to find the value of x and y

20x+6=y

x intercept,y=0

20x+6=0-6

20x/20=-6/20

×=-0.3

y intercept,x=0

20(0)+6=y

0+6=y

6=y

(-0.3,0)

19x+7=y

y intercept,x =0

19(0)+7=y

0+7=y

7=y

x intercept,y=0

19x+7=0-7

19x=-7

19x/19=-7/19

x=-0.37

The answer might be c. not 100% sure sorry

Answer:(-1,7)

Step-by-step explanation:

=================================================

Work Shown:

For now focus on triangle ABC. Since this is a right triangle, we can use the pythagorean theorem to find the hypotenuse BC.

a^2 + b^2 = c^2

(AC)^2 + (AB)^2 = (BC)^2

8^2 + 10^2 = (BC)^2

(BC)^2 = 164

BC = sqrt(164)

BC = 12.806248 approximately

-------------

Move onto triangle ABD. Find the missing side BD through the pythagorean theorem

a^2 + b^2 = c^2

(AD)^2 + (AB)^2 = (BD)^2

5^2 + 10^2 = (BD)^2

125 = (BD)^2

(BD)^2 = 125

BD = sqrt(125)

BD = 11.1803399 which is approximate

---------------

Move onto triangle ADC. We'll use the pythagorean theorem again

a^2 + b^2 = c^2

(AC)^2 + (AD)^2 = (CD)^2

8^2 + 5^2 = (CD)^2

89 = (CD)^2

(CD)^2 = 89

CD = sqrt(89)

CD = 9.433981 also approximate

---------------

Focus on triangle BCD. We have the following side lengths

Let

Note the use of uppercase letters for angles and lowercase letters for side lengths.

We can then use the law of cosines to find the angle we're after

d^2 = b^2 + c^2 - 2*b*c*cos(D)

12.806248^2=9.433981^2+11.1803399^2-2*9.433981*11.1803399*cos(D)

163.999987837504=213.999997787893-210.950228380284*cos(D)

-210.950228380284*cos(D) = -50.000009950389

cos(D) = (-50.000009950389)/(-210.950228380284)

cos(D) = 0.237022781792173

cos(D) = arccos(0.237022781792173)

D = 76.2891111084541

D = 76.3

The size of the angle ∠BDC of the tetrahedron can be determined by

cosine rule.

The size of angle ∠BDC is approximately 71.1°

Reasons:

A tetrahedron is a pyramid with triangular faces.

By Pythagoras's theorem, we have;

[tex]\overline{DC}[/tex]² = [tex]\mathbf{\overline{AD}}[/tex]² + [tex]\mathbf{\overline{AC}}[/tex]²

∴ [tex]\overline{DC}[/tex]² = 8² + 5² = 89

[tex]\overline{DC}[/tex]² = 89

[tex]\overline{BC}[/tex]² = [tex]\overline{AB}[/tex]² + [tex]\overline{AC}[/tex]²

∴ [tex]\overline{BC}[/tex]² = 10² + 8² = 164

[tex]\overline{BC}[/tex]² = 164

[tex]\overline{DB}[/tex]² = [tex]\mathbf{\overline{AD}}[/tex]² + [tex]\mathbf{\overline{AB}}[/tex]²

[tex]\overline{DB}[/tex]² = 5² + 10² = 150

[tex]\overline{DB}[/tex]² = 150

By cosine rule, we have;

[tex]\overline{BC}[/tex]² = [tex]\overline{DB}[/tex]² + [tex]\overline{DC}[/tex]² - 2 ×  [tex]\mathbf{\overline{DB}}[/tex] × [tex]\mathbf{\overline{DC}}[/tex] × cos(∠BDC)

Therefore;

164 = 150 + 89 - 2 × √(150) × √(89) × cos(∠BDC)

2 × √(150) × √(89) × cos(∠BDC) = 150 + 89 - 164 = 75

[tex]cos( \angle BDC) = \mathbf{\dfrac{75}{2 \times \sqrt{150} \times \sqrt{89} }}[/tex]

[tex]\angle BDC = arccos \left(\dfrac{75}{2 \times \sqrt{150} \times \sqrt{89} } \right) \approx \mathbf{71.1 ^{\circ}}[/tex]

∠BDC ≈ 71.1°

Learn more here:

https://brainly.com/question/20839703

Answer:

62

Step-by-step explanation:

Answer: 31.42

Step-by-step explanation:

[tex]c = 2\pi \: r[/tex]

[tex]c = 2 \times 3.14 \times 5[/tex]

[tex]c = 31.4159[/tex]