Elizabeth made a scale drawling of a city of Colorado. The scale of the drawling is 1inch=4 yards.an open space is 17 inches in the drawling. How wide is the actual open space.

Given:

The two points are (4,5) and (-3,-5).

To find:

The point-slope form equations could be produced with the given points.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The two points are (4,5) and (-3,-5). So, the slope of the line is:

[tex]m=\dfrac{-5-5}{-3-4}[/tex]

[tex]m=\dfrac{-10}{-7}[/tex]

[tex]m=\dfrac{10}{7}[/tex]

The point slope form of a line is:

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

Where, m is the slope of the line.

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:

[tex]y-5=\dfrac{10}{7}(x-4)[/tex]

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:

[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]

[tex]y+5=\dfrac{10}{7}(x+3)[/tex]

Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

Answer:

It is assumed we need to find the volume and total surface area

Volume is:

Total surface area is:

Answer:

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  f(1) = 173 = the amount remaining after 1 year

Step-by-step explanation:

The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...

  f(1) = 173 = the amount remaining after 1 year

__

(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)

Step-by-step explanation:

OPTION A

(-40) + (-30) + 28

Answer:

x = 11

Step-by-step explanation:

ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.

Angles in an equilateral triangle are all 60°.

Thus, ∠L = 60°.

=> 3x + 27 = 60

=> 3x = 33

=> x = 11

[tex]x=11[/tex]

Step-by-step explanation:

[tex]∠L=(3x+27)°[/tex]

Value of x.

[tex]∠L= ∠K= ∠M=(3x+27)°[/tex]

[All sides of triangle are equal]

[tex]∠L+ ∠K+ ∠M= 180°[/tex]

[Sum of all of triangle is 180°]

[tex]=>3x+27°+3x+27°+3x+27°=180°[/tex]

[tex]=>9x+81 =180°[/tex]

[tex]=>9x=180°-81[/tex]

[tex]=>9x=99[/tex]

[tex]=>x=\frac{99}{9}[/tex]

[tex]=>x=11[/tex]

Answer:

Arthimatic is the answer

Answer:

what are the equations?

Step-by-step explanation:

Answer:

100.29m

Step-by-step explanation:

Answer:

First task: 2., 5.

Second task: 1., 2.

Answer:

b = 90 >- 45 + 0.05t

Step-by-step explanation:

She can't spend more than 90 and this the only equation that makes sense.

Answer:

vanilla,cone

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.

Answer:

sin x = 0.4706

Step-by-step explanation:

Given that,

Height, h = 8

Base, b = 15

Let H be the hypotenuse of the triangle. Using Pythagoras theorem,

[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]

We know that,

[tex]\sin\theta=\dfrac{h}{H}[/tex]

So,

[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]

So, the correct option is (b).

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

Answer:

D

Step-by-step explanation:

-3/8 converted to a decimal is -0.375

The absolute value of -0.5 is 0.5

hence, 0.5 is larger than -0.375

so the answer is d

hope this helps and is right :)

Answer:

Please look at the image.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

radius=2.62cm

hope it helps.

Answer:

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Answer:

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

Answer:

r = 19.0

s = 17.7

Step-by-step explanation:

In the given right triangle ABC,

Measure of Hypotenuse (AC) = 26

m(∠CAB) = 43°

By applying sine rule in the given triangle,

sin(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{BC}{AC}[/tex]

sin(43)° = [tex]\frac{s}{26}[/tex]

s = 26[sin(43)°]

s = 17.73

s ≈ 17.7

Similarly, by applying cosine rule in the given triangle,

cos(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{AB}{AC}[/tex]

             = [tex]\frac{r}{26}[/tex]

r = 26[cos(43)°]

r = 19.02

r ≈`19.0

Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

The given polynomial function is f(x)=x(x-5)(x-3).

Here, x(x-5)(x-3)=0

x=0, x-5=0, x-3=0

x=0, x=5 and x=3

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

#SPJ2

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

Answer:

yo

Step-by-step explanation:

jy

Answer:

The second summation, counting from the top.

Step-by-step explanation:

Remember the relation:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

The first summation is:

4*(  (-1/2)^0 + (-1/2)^1 +  (-1/2)^2 + (-1/2)^3)

4*( 1 - 1/2 + 1/4 - 1/8) = 2.5

Now let's analyze the options.

Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.

Let's look at the next one (B), it will be equal to:

= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =

= (1/4)*( 16 - 8 + 4 - 2) = 2.5

Then this summation is the one equivalent to the first one.

Answer:

B

Step-by-step explanation:

edg 2021