Need Help ASAP it's due today. Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? SHOW YOUR WORK. ( The teacher said to Plot a third point, connect the third point to make a right triangle, find the lengths of the legs of the triangle and then use the pythagorean theorem to find the distance between the gas station and Angelica's house). Only answer if you truly know how to solve this please. Will Mark Brainliest
Answers
Answer:
About 7.8 miles.
Step-by-step explanation:
We can use the distance formula to find the distance from the gas station to the house.
However, your teacher said to use the Pythagorean Theorem to find the distance.
Going by your teacher's preferred method:(4,3), (10,8), and (10,3) would make a right triangle.
[See Picture]
Angelica's house is at point (4,3). It is 6 units from our new third point.
The gas station is at point (10,8). It is 5 units form out new third point.
The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]
7.81024967591 ≈ 7.8
The hypotenuse is about 7.8.
Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.
Brainilest Appreciated!
Answer:
AG = 7,8
Step-by-step explanation:
Plot the third point at (10,3) and let's call it point B.
Now construct the right sided triangle A B G
With A = (4,3) , B = (10,3) and G = (10,8).
AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6
BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5
Now use pythagorean theorem to calculate AG
In any right sided triangle you can use a² + b² = c²
In our case AB² + BG² = AG²
Substitute AB = 6 and BG = 5
6² + 5² = AG²
AG² = 6*6 + 5*5
AG² = 36 + 25
AG = + - SQRT(61)
{Only the + variant of the SQRT has a meaning here.}
AG = 7,81 rounded on one decimal AG = 7,8
Related Questions
There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?
Answers
Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
ASAP! PLEASE HELP. What is the measure of BCD?
Answers
Answer:
(5x)°
Step-by-step explanation:
Vertical angles.
Please mark as Brainliest! :)
Have a nice day.
Is the following transformation rigid motion, dilation, or neither?
(x, y)→(2x, 2y)
Answers
Answer:
rigid motion
Step-by-step explanation:
because is a isometric transformation
9am not sure9
Which ratio is not equivalent to the others?
Answers
Answer:
4:7
Step-by-step explanation:
3:5=6:10/2=3:5
9:15=9:15/3=3:5
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number 13. is d
Step-by-step explanation:
Help me find the MAD volume please
How many sundaes are there?
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Answer:
2
Step-by-step explanation:
8+12+4+8 = 32
32/4 = 8
8-8 = 0
12-8 = 4
8-4 = 4
8-8 = 0
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help help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The first option, the mayor will lose by a large percentage.
Step-by-step explanation:
If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.
Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.
Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.
All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.
which just leaves the first option saying that he will lose by large percent, which is true.
i need to know how to do this one!!!!!!!!!!!! its to raise my grade!!!!!!!!!!
Evaluate the radical.
27−−√3
Enter your answer in the box.
Answers
Answer:
27+square root to 3 is 28.73205081
Step-by-step explanation:
Hope I helped
(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b
Answers
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
The requried simplified values of a and b are given as 4 and -30 respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b
Comparing both sides,
a = 4 and b = -30
Thus, the requried simplified value of a and b are given as 4 and -30 respectively.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
what is the sum of -7 and its additive inverse?
Answers
Answer:
0
Step-by-step explanation:
An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0
Answer:
0
Step-by-step explanation:
Can someone help with this
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Answer:
the answered is -3 like in the picture
Step-by-step explanation:
Find the area and the circumference of a circle with a diameter of 17cm
Answers
Answer:
Step-by-step explanation:
d = 17 cm
r = 17/2 = 8.5 cm
Circumference of circle = πd
= 3.14 * 17
= 53.38 cm
Area of circle = πr²
= 3.14 * 8.5 * 8.5
= 226.865 cm²
What does the word ‘Denotation’ mean?
Answers
Answer: Depends on what your talking about so I'll give all 3 definitions.
Step-by-step explanation:
1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.
-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.
2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.
3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.
Consider the following polynomial.
-2xys + 3x? - 10x°y6 + 8x + 4
Which of the following statements are true? Select all that apply.
-The polynomial has 5 terms.
-The leading coefficient is -2.
.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.
Answers
Answer:
Step-by-step explanation:
If you write correctly:
[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]
I do not know the "?" in the formule de P
-The polynomial has 5 terms. Yes
-The leading coefficient is -2. No
.
-The degree of the polynomial is 7. Yes
-The constant term is 4. Yes
-The polynomial is in decreasing degree order. No
Which property is illustrated by the
equation below?
7 + (-7) = 0
A. Additive Inverse Property
B. Distributive Property
C. Associative Property of Addition
D. Additive Identity Property
Answers
Answer:
additive inverse
Step-by-step explanation:
-7 is the inverse of 7 so adding it would cancel it out making it 0
the question is on the image
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Answer:
1/6
Step-by-step explanation:
The slope of a line in y=mx+b form is always the number before the x value.
Hope this helps!
help plz question is in the photo
Answers
Answer:
A. Trinomial
Step-by-step explanation:
It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:
Cubic is just a variable with the exponent of 3. Examples:
[tex]x^3,y^3,z^3[/tex]
Binomial is a polynomial with 2 terms. Examples:
[tex]5x+3; 6x+2; x+7[/tex]
A quadratic has a division sign.
1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?
Answers
Answer:
The sniper shoot from 870.775 feet vertical distance.
Step-by-step explanation:
Refer the attached figure
Height of victim = AB = 4.5 ft.
Distance between tower and victim BC = 780 feet
The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]
Let DE be x
AB = CE = 4.5 feet
BC =AE = 780 feet
Height of tower = DE+CE=x+4.5
In ΔDAE
[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]
Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet
Hence the sniper shoot from 870.775 feet vertical distance.
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Step-by-step explanation:
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The line is negative
It rises one digit and runs 2
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The function shown is y=-2x+10
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For example, these are valid asnwers,
y=-3x+10
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
To solve the picture: the answer is 8 pi cm. The formula for circumference is C= 2pir, in which r is the radius. This means multiply the radius by 2 and then by pi. This is also known as C= dpi (d meaning diameter)
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
O///O
Help anyone? Brainliest and five stars if correct
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Answer:
X=1
Step-by-step explanation:
6x+2=9x-1
-6x on both sides
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Flip
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what is the difference between - 21 and -8 on a number line?
Answers
Answer:
They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.
Please help with this
Answers
Answer:
A
Step-by-step explanation:
2x + 3 = x - 4
what is the answer
Answers
So the right answer is -7.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Answer:
2x+3 = x-4
Step-by-step explanation:
X = -7
2 x -7 + 3 = -11
-7 - 4 = -11
Therefore, X is -7 since both sides are equivalent and equal to -11
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he works 22 days that month?
Solve the problem. Multiply 22 and 7 and you 154 and that's your answer
154 miles
Answers
Answer: 154
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the distance that he walks every day (7 miles) by the number of days that he works in a month (22).
Mathematically speaking:
7m x 22d = 154 miles
Zack walks 154 miles in one month.
Feel free to ask for more if needed or if you did not understand something.
