The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:
[tex]A=\frac{1}{2} bh[/tex]
b is the base of the triangleh is the height of the triangleGiven the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]
The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]
Substituting the coordinate points:
[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]
Recall that:
[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]
Hence the corresponding height of the triangle is 1.6 units
Learn more on area of triangles here: https://brainly.com/question/17335144
make t the subject of the formula in the image
Answer:
t=[tex]\frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
q(t+3)=2-4t
qt+3q=2-4t
qt+4t=2-3q
t(q+4)=2-3q
t=[tex]\frac{2-3q}{q+4}[/tex]
x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?
Answer:
x is a function
since it forms a horizontal line it passes the vertical line test and is a function
Heather bought 7 cases of water for $38.50. How much did each case cost?
38.50/7 = $5.50 for each cases of water Heather bought.
Answer:
$5.50 / case
Step-by-step explanation:
Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case
solve pls brainliest
-scale drawing is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount ( called the scale )
-the answer is: scale drawing
Write 51 as a product of primes
Answer:
The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.
What is 1/2 times 3/4 in fraction form?
Answer:
3/8 is the answer.Step-by-step explanation:
1/2 x 3/4=> 3/8Conclusion:
Therefore, 3/8 is the answer.
Hoped this helped.
are 3x + 2 and 3 (x + 2 ) equal
Answer:
No
Step-by-step explanation:
Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.
Solve this please do the model
An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s
Answer: north 80 m/s
Explanation:
speed = distance/time = 56/0.7 = 80
Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north
Determine the measurement of the missing angle
Answer:
31
Step-by-step explanation:
Find missing angle of lower triangle first
35+23=58
180-58=122
Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122
27+122=149
180-149=31
It is given that 2(3+x)=6+2x this is e so ample of which property
Answer:
distributive property
Step-by-step explanation:
The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.
2(3 +x) = 2(3) +2(x) = 6 +2x
Can someone help me with this please
Answer:
r = 59
Step-by-step explanation:
59 + r = 118
59 + r - 59 = 118 - 59
r = 59
Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.
good night everyone : )
Answer:
Good night sagey!!!! sleep well
A canoe rental service charges a $30 transportation fee and $15 an hour to
rent a canoe. Write and equation. How long was the canoe rented if a
customer paid $105?
Answer:
5 hours
Step-by-step explanation:
Your equation is 105 = 15x + 30 subtract 30 from both sides, then divide by 15 to get x = 5 hours.
Brainliest would be apprappreciated. :-)
15% of what is 12? Please
15*X/100=12
15x=1200
X=1200/15
x=80
See attachment for answer and math work.
5/6 times 2/7 and simplified
Step-by-step explanation:
⅚ײ/7 = 5/21.
hope this helps you.
Answer: it 5/21
Step-by-step explanation:
this is how i got it
5/6×2/7=
5 × 2/6 × 7= 10/42
= 10 ÷ 2/42 ÷ 2
= 5/21
14.06 as a mixed number
14 3/50
Good luck with the rest... I highly reccomend using Math way (spell it together)
bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat
Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?
Answer:
785 almonds
Step-by-step explanation:
157 x 5 = 785
Answer 1-5 for each! I’ll mark as brainiest
Answer:
4 because I had this quiz and I got 80
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Tell whether a triangle can have sides with lengths 17, 20, and 4.
true or faulse
Answer:
True
Step-by-step explanation:
if rs=44 and qs=68 find qr.
Answer:
qr=68r/s
Step-by-step explanation:
rs=44
s=44/r
qs=68
q(44/r)=68
44q/r=68
44q=68r
q=68r/44
rs=44
r=44/s
qr=(68r/44)(44/s)=68r/s
Answer #3 & #4 with proof please ! I'll give you brainliest :)
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides , then
2x - 6 + x + 4 + 10 > 50
3x + 8 > 50 ( subtract 8 from both sides )
3x > 42 ( divide both sides by 3 )
x > 14
(4)
The area is calculated by multiplying length and breadth , then
3(4x - 2) < 138 ( divide both sides by 3 )
4x - 2 < 46 ( add 2 to both sides )
4x < 48 ( divide both sides by 4 )
x < 12
Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28
9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?
10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint? · 9. 25 students each paid $6.50 to go to the museum ...
please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?
theres question marks where the exponent is supposed to go
Can a shape have the perimeter be the same as the area?
Answer:
In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.
Step-by-step explanation:
Answer maybe
Step-by-step explanation:
The triangle shown below has an ar
Answer:
a^2+b^2=c^2
C=7
b=?
a=4
LET B=x =
[tex] \sqrt{65 } [/tex]
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Answer:
195 square centimeters per second
Step-by-step explanation:
Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second
Evaluate the expression when B=7 c=-7. c-6b
Answer:
7 - (6 x 7) = -35
Answer:
-7-6(7)= 35
7 - (6 x 7) = 35