Answer:
The corresponding height of the triangle is [tex]1.2[/tex]
Step-by-step explanation:
We have[tex]\Delta ABC[/tex]
Here [tex]AD[/tex] is the height
We need to draw perpendicular from [tex]A[/tex] to [tex]BC[/tex]
The distance from the point [tex](m, n)[/tex] to the line [tex]A x+B y+C=0[/tex] is given by:
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}[/tex]
First let us calculate equation of [tex]BC[/tex]
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1[/tex]
Now distance from [tex](-1,1)[/tex] to [tex]3x-4y-1=0[/tex] is
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2[/tex]
completing the square: x^2+2x-7=8x
Answer: x = 7, x = -1
Step-by-step explanation: Move the term to the left side
x^2 + 2x - 7 = 8x
x^2 + 2x - 7 - 8x = 0
Combine like terms
x^2 + 2x - 7 - 8x = 0
x^2 - 6x - 7 = 0
x^2 - 6x - 7 = 0
a = 1
b = -6
c = -7
x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1
Evaulate the Exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers x = 6 ± 8/2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = 6 + 8/2
x = 6 - 8/2
Rearrange and isolate the variable to find each solution
x = 7
x = -1
whats the remainder of 45 divied by 8
Answer:
5
Step-by-step explanation:
8*5=40
45-40=5
r would be 5
Write the equation of the line that passes through the points (-1,3) and (-1,-9).
Answer:
The equation of the line is x=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-3)/(-1-(-1))
m=-12/(-1+1)
m=-12/0
undefined.
Since the slope is undefined,
it follows that this is a vertical line with the equation x=-1.
. What is the fraction form of $0.25?
Answer:
1/4
Step-by-step explanation:
Since 0.25 is 1/4 of 1
Write TWO different equations that you could use to solve for x. You don't need to solve.
Answer:
see explanation
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos52° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (1)
The 3rd angle in the triangle is
180° - (90 + 52)° = 180° - 142° = 38°
Using the sine ratio in the right triangle
sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (2)
three pounds of bananas cost $1.95. Which of the following is not true?
Answer:
put the examples on the test or assignment so i can answer it
Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. What is the “half” amount?
What is the value of x?
Answer:
55
Step-by-step explanation:
As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.
what is the difference in length between a 1 1/4 and 3/8
Answer:
7/8
Step-by-step explanation:
1 1/4 is the same as 5/4.
5/4 is also the same as 10/8.
The distance from 3/8 to 10/8 is 7/8.
Hope that helps
Answer:
1 1/4 - 3/8
5/4 - 38
10/8 - 3/8
7/8
What is the slope
A. 2
B. 4
C. 5
We know the slope formula.
=> [tex]\frac{y_{2} -y_{1} }_{x_{2}-x_{1} } }[/tex]=> [tex]\frac{16-12}{7-5}[/tex]=> [tex]\frac{4}{2}[/tex]=> [tex]2[/tex]Conclusion:Therefore, the slope is 2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Please someone help, I want to know if I’m correct
Answer:
Yes youre correct
Step-by-step explanation:
Find the explicit formula for the nth term of the following sequence where the first term is a1
{-6/7, 7/9, -8/11, 9/13, -10/15, ...}
Pls no links, I actually need help
The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.
The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.
The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.
Taking everything together, it follows that the n-th term in the sequence is
[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]
Using the distance formula, find the distance between -52 and 9.
The measure of an angle is 138°. What is the measure of its supplementary angle?
Answer:
Supplementary angle = 42⁰
Step-by-step explanation:
We know that
Sum of two supplementary angle = 180
Let,
Supplementary angle = x
=> 138 + x = 180
=> x = 180 - 138
=> x = 42⁰
If the measure of an angle is 138°, the measure of its supplementary angle is 42°
What are supplementary angles:Supplementary angles are two angles that sum to 180 degrees. The sum of supplementary angles is equals to 180 degrees.
Therefore, if the angles are x and y , For them to be supplementary,
x + y = 180°
If the measure is 138 degrees, the measure of its supplementary angle can be calculated as follows:
let
its supplementary angle = x
138 + x = 180
x = 180 - 138
x = 42°
learn more on supplementary angles: https://brainly.com/question/25818150?referrer=searchResults
Answer:
2(x + 3) + 4(9x + 8) = ?
Answer:
38x + 38
Step-by-step explanation:
I need help putting these together in the correct place
Answer:
whats do you mean by that whats the question ❓
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
i don't know but I think question 1 is 64
Can someone plz help Me?
the answer to your question is C. 6^4
Answer:C? sorry if im wrong
Step-by-step explanation:
The base of a triangle is V75 cm and its height is V12 cm. Find its area.
Answer:
450 cm area
Step-by-step explanation:
Formula 1/2*b*h
1/2*75*12cm
1/2*900
1*450cm
450 is area PLEASE MARK BRAINLIEST :))
113 + 377 = 117 + _
Pls answer guys.
Answer:
373
Step-by-step explanation:
113+377=490
490-117=373
answer:
=117+373
Write the name of a polynomial (using the degree) with the sequence of the
outputs: (5,2,-1,-4, ...}*
Type ONE word
Answer:
pentagon
Step-by-step explanation:
5 degree angle
QUICKKKKK DJWKCJKWFN
Step-by-step explanation:
just take from me..your most best and smarties person ever...i don't know the answer
Find the volume of the sphere.
Answer:
4.19
Step-by-step explanation:
v=4/3(pie x r^3)
v=4/3(pie x 1^3) = 4.18879
v=4.19
Peter has 100$. The price of a watch is 60$. If Peter gets 25% discount,can he buy 2 watches?
yes.
25 percent discount means that the price of one watch is 45 dollars.
45 plus 45 is less than 100.
Answer:
The answer is yes.
Step-by-step explanation:
25% = divide by 4
25% of 60$ = 60$ divided by 4 = 25$
So then we need to do 60$ - 25$ which equals to 45$.
45$ + 45$ = $90.
Hope that helps. x
Cost to store is $32, Markup 3%, what's the selling price, what is answer?
Answer:
the answer to this question is $32.96
find the value of x²+y² if
x+y=9 xy=14
Step-by-step explanation:
It's a system of equations.
From the first one we isolate x:
x = 9-y
And we substitute in the second one:
(9-y)y = 14
-y^2 + 9y - 14 = 0
y^2 - 9y + 14 = 0
D = 25
y1/2 = (9 +- 5)/2 = 2 or 7
y = 2 => x = 7
y = 7 => x = 2
x^2 + y^2 = 7^2 + 2^2 = 53
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
It the W or the orange point
1 ton is equal to 2,000 pounds. How many pounds are in 5 tons, 230 pounds?
Answer: 10230
Step-by-step explanation:
The amount in pound is 1230 pounds.
What is Unitary Method ?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
1 ton is equal to 2,000 pounds.
So, 5 tons and 230 pounds
= 5 x 2000 + 230
= 1000 + 230
= 1230 pounds.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ6
The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer
Answer:
3 units
Step-by-step explanation:
I hope it helps you!
‼️DUE TODAY‼️
(Question in the picture)
Answer:
I Don't know
Step-by-step explanation:
I don't know I don't know I don't know