What is the equation of the line

Answer:

1

Step-by-step explanation:

4(x-5) = 3x+7

4x - 20 = 3x +7

4x - 3x =20 + 7

x=27

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

s+1+2s-1+90=180 degree(being linear pair)

3s+90=180

3s=180-90

s=90/3

s=30 degree

Answer:

s = 30

Step-by-step explanation:

the total angle is a straight angle that's composed of a right angle and 2 unknown angles.

(s + 1) + 90 + (2s- 1) = 180

s + 2s + 90 + 1 - 1 = 180

3s = 180 - 90

3s = 90

s = 90/ 3

s = 30

Answer:

[tex]\lim_{x \to \(-1} f(x)=-2[/tex]

Step-by-step explanation:

In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:

Answer:

x = 1.5 or 1 1/2

y = 8

Step-by-step explanation:

Solving for x:

2x + 1/2 y = 7

6x - 1/2y = 5

Add both equations:

2x + 1/2 y + 6x - 1/2y = 7 + 5

8x = 12

x = 1 1/2

Solving for y:

2x + 1/2y = 7

We know x, so lets input

2(1.5) + 1/2y = 7

3 + .5y = 7

0.5y = 4

y = 4*2

y = 8

Check with the other equation

6x - .5y = 5

6(1.5) - 0.5y = 5

9 - 0.5y = 5

0.5y = 9 - 5

0.5y = 4

y = 4 * 2

y = 8

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Answer: (5,3)

Step-by-step explanation:

y=x^2-10x+28

Complete the square.

y=(x-5)^2+3

Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.

a=1

h=5

k=3

Find the vertex (h, k).

(5, 3)

Answer:

twenty thousand and two

Answer:

f(x) = 8.14x + 300

Step-by-step explanation:

The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.

' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'

According to the given problem,

Amount Leo earns for each hour he works = $8.14

Amount Leo earns in x hours = $8.14x

Amount Leo earns as additional tip per week = $300

Therefore, the function of x is,

⇒ f(x) = 8.14x + 300

Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300

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Answer:

[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]

Step-by-step explanation:

We proceed to present the procedure by algebraic means:

1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given

2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties

3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties

4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties

5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties

Answer:look it up on quizlet its easier

Step-by-step explanation:

Answer: It's more likely it's a Tuesday

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

Explanation:

The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.

The odds of it being January is 1/12 because we have 1 month we want out of 12 total.

Now the question is: which fraction is larger?

For now, assume they are equal. We'll cross multiply like so

1/7 = 1/12

1*12 = 7*1

12 = 7

We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps

1/7 > 1/12

1*12 > 7*1

12 > 7

which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.

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

Alternatively, you can use your calculator to find that:

Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.

9514 1404 393

Answer:

  c = 15 cm

Step-by-step explanation:

The congruent diagonals are perpendicular bisectors of each other, so ∆WVX is an isosceles right triangle. The length of c is √2 times the length WV, so is ...

  c = (√2)(10.6 cm) ≈ 15.0 cm

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

1.4 feet

let me know if you get it right hope i helped!

Answer:

14

Step-by-step explanation:

a2+(48)2=

 502\,\,50^{2}502

Use the Pythagorean Theorem.

a2+2304=a^{2}+2304=a2+2304=

 2500\,\,25002500

Simplify.

−2304-2304\phantom{=}−2304=

 −2304\,\,-2304−2304

Subtract 2304 from both sides.

a2=a^{2}=a2=

 196\,\,196196

a2=\sqrt{a^{2}}=a2

​=

 ±196\,\,\pm\sqrt{196}±196

​

Square root both sides.

a=a=a=

 14\,\,1414

Simplify. Ignore negative root, as length must be positive.

Answer:

D. -8√70 + 7√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

√7(-8√10 + √14)

Step 2: Simplify

Answer:

30mm

Step-by-step explanation:

if only i knew I would love to help you sorry

Answer:

4:    1 2/3

5.  5/21     b. 1/4    c. 11/18   d.  3/20

6.  11/12     b. 10/12 < 11/12

7. 4/45

Step-by-step explanation:

4.     1/3 times 5

6.    just add

7. 1/5 minus 1/9

Answer:

hey this is my alt acount im doing this so i can give brainiest

Step-by-step explanation:

Answer:

Its really simple

Step-by-step explanation:

first you take the 10 then turn it into joe then mama

Answer:

-1/10 - 1x^3 + x^4 + 3x

Step-by-step explanation:

negative one tenth minus 1x exponet 3 plus x exponent 4 plus 3x

The two angles are supplementary angles, which when added together equal 180 degrees.

6x -10 + 6x +10 = 180

Combine like terms:

12x = 180

Divide both sides by 12:

x = 180/12

x = 15

The answer is C) 15

Answer:

6 years

Step-by-step explanation:

750+5%=787.5  (repeat add 5% to the sum of the previous till you reach 1000)

The graph of y = 3x + 1 lies in quadrants I and III. The graph of the equation y = 3x + 1 is a straight line with a positive slope.

To determine the quadrants in which the graph lies, we need to analyze the signs of the x and y coordinates in different regions of the coordinate plane.

Quadrant I: In this quadrant, both the x and y coordinates are positive. When we substitute positive values for x into the equation, we obtain positive values for y. Since the slope is positive, the line rises as we move from left to right. Therefore, the graph lies in quadrant I, where both x and y are positive.

Quadrant III: In this quadrant, the x coordinate is negative, while the y coordinate is positive. If we substitute negative values for x into the equation, we still obtain positive values for y. The positive slope ensures that the line rises from right to left. Hence, the graph also lies in quadrant III.

The graph does not pass through quadrants II and IV because the signs of the coordinates do not align with the equation. In quadrant II, the x coordinate is negative, but the y coordinate is negative as well. In quadrant IV, both the x and y coordinates are positive, which contradicts the equation. Therefore, the graph of y = 3x + 1 is confined to quadrants I and III.

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Answer:

sorry need points Step-by-step explanation:

sorry need points sorry need points

Answer:

n=-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

8n=-40

n=-40/8

n=-5

Answer:

answer is a 20+4i

Step-by-step explanation:

Answer:

I think the answer is 6.......

First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.

If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.

Use the tangent ratio to find the angle of sun shining.

[tex] \large \boxed{ \tan \theta = \frac{opposite}{adjacent} }[/tex]

Substitute adjacent = 21 and opposite = 62 in the ratio.

[tex] \large{tan \theta = \frac{62}{21} }[/tex]

For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.

From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29

Answer

Answer:

71.29°

Step-by-step explanation:

By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .

For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .

Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,

[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]

Plug in the respective values , we have ,

[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]

Hence the required answer is 71.29° .

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:

θ' = θ + i · 360°     (1)

Where i is the index of the coterminal angle.

If we know that θ = 285° and i = - 1, then the negative angle is:

θ' = 285° + (- 1) · 360°

θ' = - 75°

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

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Answer:

[tex]17\sqrt{2}[/tex] ft

Step-by-step explanation:

take angle b as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC

BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]

BC = 17 * [tex]\sqrt{2}[/tex]

BC =  [tex]17\sqrt{2}[/tex] ft

Answer:

BC = 17[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 17[tex]\sqrt{2}[/tex] ft