a: a line passes through the point (2,8) and is parallel to y=3x+10 write the equation of the line in y=mx+b form

b: a line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 write the equation of the line in y=mx+b form

Answer:

[tex]4\sqrt{5}[/tex]

Step-by-step explanation:

In order to solve this problem, we can use the pythagorean theorem, which is

a^2 + b^2 = c^2, where and b are the legs of a right triangle and c is the hypotenuse. Since we are given the leg lengths, we can substitute them in. So, where a is we can put in a 4 and where b is we can put in an 8:

a^2 + b^2 = c^2

(4)^2 + (8)^2 = c^2

Now, we can simplify and solve for c:

16 + 64 = c^2

80 = c^2

c = [tex]\sqrt{80}[/tex]

Our answer is not in simplified radical form because the number under is divisible by a perfect square, 16. We can divide the inside, 80,  by 16, and add a 4 on the outside, as it is the square root of 16:

c = [tex]4\sqrt{5}[/tex]

The length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's label the lengths of the legs as 'a' and 'b', with 'a' being 4 and 'b' being 8. The hypotenuse, which we need to find, can be represented as 'c'.

Applying the Pythagorean theorem, we have:

[tex]a^2 + b^2 = c^2[/tex]

Substituting the given values:

[tex]4^2 + 8^2 = c^2[/tex]

16 + 64 = [tex]c^2[/tex]

80 = [tex]c^2[/tex]

To find the length of the hypotenuse 'c', we need to take the square root of both sides:

√80 = √ [tex]c^2[/tex]

√80 = c

The square root of 80 is approximately 8.94.

Therefore, the length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.

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Answer:

Does the answer help you?

Answer:

6

Step-by-step explanation:

Dividing 2 by 3 gives you a repeating decimal of 0.6666...

Answer:

3 feet per minute

Step-by-step explanation:

Find how far the baby gets per minute by multiplying 3/4 by 4:

3/4(4)

= 3

So, the baby crawls 3 feet per minute

Answer:

b

Step-by-step explanation:

smart yes

Answer:

i think

third option is correct.

cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8 is the required trigonometric functions of the same angle. Option C is correct

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8
Is the trigonometric function of the same angle,
cosY = 1 / SecY
8 / 17 = 1 / secY
secY = 17 / 8
Now,
P = √[17² - 8²]
P = 15
CotY = 8 / 15

Thus, trigonometric functions in option C are of the same angle.

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Answer:

is this geomtey

Step-by-step explanation:

Make sure to put what kind of maths (geometry algebra ect.) this is so others can meet your needs better. Also might want to put what unit or type of problem this is as well.

Answer:

-8r

Step-by-step explanation:

subtract -3 from -5 to get -8. since both integers share a variable, the answer is just -8r

[tex]\\ \sf\longmapsto -5r-3r[/tex]

[tex]\\ \sf\longmapsto (-5-3)r[/tex]

[tex]\\ \sf\longmapsto (-8)r[/tex]

[tex]\\ \sf\longmapsto -8r[/tex]

Which is your required answer

Sum of interiors =exterior angle

[tex]\\ \sf\longmapsto <I=56+66[/tex]

[tex]\\ \sf\longmapsto <I=122[/tex]

Now

[tex]\\ \sf\longmapsto I+x=180[/tex]

[tex]\\ \sf\longmapsto x+122=180[/tex]

[tex]\\ \sf\longmapsto x=180-122[/tex]

[tex]\\ \sf\longmapsto x=58[/tex]

The measure of x° is 58° .

The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

According to the corresponding angles theorem, the statement “If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent”  

According to the question

In the triangle AHI  

∠A = 66°

∠H = 56°

By using sum of angle of triangle = 180°  

∠A + ∠H + ∠I  = 180°  

66° + 56° + ∠I  = 180°

∠I  = 180° - 122°

∠I  = 58°

As , given HI is parallel to JK

Now,

According to the corresponding angles theorem

If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent .

Therefore,

∠I  = ∠K = x°  

i.e

x° = 58°

Hence, the measure of x° is 58° .

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Answer:

Step-by-step explanation:

4x*(2x - y) - 3x(x - 2y) - 2x + 1  

Use distributive property

= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1

= 8x² - 4xy - 3x² + 6xy - 2x + 1

= 8x² - 3x² - 4xy + 6xy - 2x + 1

Combine like terms

= 5x² + 2xy - 2x + 1

Substitute  x = -1  & y = 2

= 5(-1)² + 2*(-1)*2 - 2(-1) + 1

= 5*1 - 4 + 2 + 1

= 5 - 4 + 2 + 1

= 4

Answer:

-8

Step-by-step explanation: As you go back 10 into the negetives and i saying neg 8 would be your answer

Answer:

Linear, positive, strong

Step-by-step explanation:

Association is described as strong (linear) , weak or none(nonlinear).

If you draw a line straight through the points and most of the points are on or near the line then the association is strong. If very few points are near or on the line then the association is weak. If almost none of the points are on the line then there is no association

If you were to draw a line on this graph straight through the points most of the points would be on or near the line therefore there is a strong linear association.

Because the line would be going up and to the right the association would be positive

Answer:

x = 9

Step-by-step explanation:

8/12 = 6/x

We can use cross products

8*x = 12*6

8x = 72

Divide by 8

8x/8 = 72/8

x = 9

Answer:

Below!

Step-by-step explanation:

X intercept

y = 5x - 6

0 = 5x - 6

-5x = -6

divide both sides by -5

x = 6/5 or 1.2  

(1.2, 0)

Y intercept

y = 5x - 6

y = 5(0) - 6

y = -6

(0, -6)

Hope this helps! Best of luck <3

$695.00 would be your answer :)

Answer:

Square root of 100.  

Step-by-step explanation:

Step-by-step explanation:

We can write 10 as a fraction 10/1, therefore,[tex]\sqrt{}[/tex]100   is a rational number.

Part A : A rational no. between 5.2 and 5.5 is 5.3.  

It is rational because it can be expressed in the form  

p/q where p and q are integers and q is not equal to 0, which is 53/10

Part B: A rational no. between 5.2 and 5.5 is 5.29150262213

An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.

Answer:

Step-by-step explanation:

Square root of all prime numbers is irrational.

97 is an prime number. So √97 is an irrational number.

√98 = [tex]\sqrt{2*7*7}=7\sqrt{2}[/tex]  is an irrational number.

[tex]\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}[/tex] is an irrational number

√100 = 10 is a rational number.

Part A:

5.3 is a rational number.

Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal

Part B:

5.3020050......

Irrational numbers are non terminating non repeating numbers

Answer:

2c+5

Step-by-step explanation:

Answer:

7c

Step-by-step explanation:

You do PEMDAS.

6-3c is 3c.

so itd be 8c + 2(3c) - 7

then id multiply 3c with 2 so its be6c.

then id add 6c with 8c, and its be 14c. then i subtract it with 7 and get 7c.

Answer:

The answer is in the screenshot -6x-6

Step-by-step explanation:

Answer:

14 yards shorter

Step-by-step explanation:

Use Pythagoras' Theorem

a²+b²=c²

16²+63²=4225

√4225= 65yd

The diagonal line (c) is 65 yards long

16 + 63 = 79 yd

It would be 14 yards shorter (79-65)

probably i think it is 22.5°

Answer:

if the inequality symbol is ≤ then the answer is x ≤ 6. If the inequality symbol is < then the answer is x < 6.

Step-by-step explanation:

Hope this helped

Answer:

2nd option

Step-by-step explanation:

To find g(f(x)) , substitute x = f(x) into g(x)

g(x + 3) = [tex]\sqrt{x+3}[/tex] + 7

Answer:

To find g(f(x)) , substitute x = f(x) into g(x)

g(x + 3) = \sqrt{x+3}

x+3

Answer:

11 4-passenger cars

Step-by-step explanation:

let 'x' represent the number of 4-passenger cars,then 'x-3' represent the number of 6-passenger cars.

92=4x+6(x-3)

92=4x+6x-18

92=10x-18

92+18=10x

110=10x

x=110/10

x=11

Therefore there are 11 4-passenger cars

Answer:

A=pq/2

=4.25·4.25/2

=9.03125

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

Step-by-step explanation:

Diagonal of rhombus bisect each other.

d₁ = AC = 4.25*2 = 8.5 cm

d₂ = 8.5  {Given diagonals are equal}

Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]

                            [tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]

The domain is the set of x values that has a corresponding y-values in a function or a graph.

The domain of the graph is: [tex]-10 \le x \le 10[/tex]

From the graph (see attachment), we have the following observation

These values can be represented as:

[tex]x_1= -10[/tex]

[tex]x_2 = 10[/tex]

So, the domain of x is: [tex]-10 \le x \le 10[/tex]

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Answer:

$61.50

Step-by-step explanation:

14.25(4) + 4.50

= 57.00 + 4.50

= 61.50

Answer:

Step-by-step explanation:

I think you mean 2.99×10^8, not 2.99×108.

2.99×10⁸ meters per second = 299,000,000 meters per second

Answer:

The correct answer is

D) e and l