the diagram shows a right-angle triangle.
Answer:
Step-by-step explanation
The shortest length of the right-angled triangle is 4 cm.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given is, the diagram shows a right-angle triangle.
We have area of the right-angle triangle = 18 cm²
We know that area of a right-angle triangle = 1/2(base)(height)
18 = 1/2(x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers because length can't be negative,
Thus, x = 5
The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.
Therefore,
height = x - 1 = 5 - 1 = 4 cm
base = x + 4 = 5 + 4 = 9 cm
Hence, the shortest length of the right-angled triangle is 4 cm.
learn more on right-angled triangle here:
brainly.com/question/2292567
#SPJ2
WILL GIVE BRAINLIEST
Select all the correct answers.
Which relations represent functions?
Answer:
First and third relations represent functions.
Step-by-step explanation:
First and third relations are one-to-one and many-to-one respectively, therefore these are functions.
Second and fourth relations are one - to - many, thus they are not functions.
Answer:
first and third
Step-by-step explanation: just took the test like 5 secs ago
help me please , the question is in the picture .
Answer: 4.2x10^5=420000
Step-by-step explanation: its a positive five so you go in the positive direction from the decimal but if it was a negative you could go the other way (hope this helps)
Is this negative positive or no correlation
Step-by-step explanation:
No correlation
Which of these tables represent a nonlinear function?
Answer:
(3)
Step-by-step explanation:
Analise the slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(1). (19-20)/(18-17) = - 1 ; (18-19)/(19-18) = - 1 ; (17-18)/(20-19) = - 1 ⇒ table represents a linear function.
(2). (-17+16)/(18-17) = - 1 ; (-18+17)/(19-18) = - 1 ⇒ table represents a linear function.
(3). (17-16)/(18-17) = 1 ; (19-17)/(19-18) = 2 ⇒ table represents a nonlinear function.
The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a total of 636
vegetable plants were sold (not including the ones given away for free). If each plant cost the store $2.90, how much money did the store lose
by giving away the free plants?
Answer:
the shop lost $922.20 by giving away free vegetable plants.
Step-by-step explanation:
you would start by dividing 636 by two to see how many free vegetable plants were given away.
636 / 2 = 318
this shows us how many free vegetable plants were given for free, so then to find how much money the store lost giving them away for free, you would multiply 318 by 2.9
318 x 2.9 = 922.2
Therefore the shop lost $922.20 by giving away free vegetable plants.
EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP
Answer: its is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
write the polynomial in standard form 3-3m+4m^{2} -1/2m^{6}
Answer:
[tex]3-3m+4m^2-\frac{1}{2} m^6[/tex]
Step-by-step explanation:
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.
Answer:
Picture?
Step-by-step explanation:
Answer:
heres the picture
Step-by-step explanation:
Which equation is equivalent to y – 6 = –12(x + 4)?
A. y = –6x – 48
B. y = 6x – 48
C. y = –12x – 42
D. y = –12x – 54
Answer:
Y-6 = -12 (x+4) Y = -12x - 48 + 6 Y = -12x - 42 answer is c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y - 6 = - 12(x + 4)[/tex]
[tex]y - 6 = - 12x - 48[/tex]
Add sides 6
[tex]y - 6 + 6 = - 12x - 48 + 6[/tex]
[tex]y = - 12x - 42[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??
Step-by-step explanation:
1. 4/8=1/2
2.3/9=1/3
3.9/12=3/4
4.3/6=1/2
There are 515 students who attend central middle school. Three out of every 5 students live within 1 mile of the school. How many students at central middle school live within 1 mile of the school?
Answer:
103 students live 1 mile away from the school.
Step-by-step explanation:
First dicide what the problem is really asking you then you end up getting divisoin them divide 515/3.
what is the interior of a decagon
Answer:
Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° 144 ° and they all add up to 1,440° 1,440 °.
Step-by-step explanation:
really hope this helps, Good luck ^w
Please help!! I’m stuck on this one haha
Answer:
Ready to help soon as we know what that "one" is
Answer:
hahaha where is the pic
Step-by-step explanation:
Please help me i'm not very good at math :))
Answer: (1, 5)
Explanation:
You really just have to input all the variables into the inequality and see if it is accurate.
(2, 4)
4 > 2(2) 4 > 4 no, it is equal to, not greater than
4 > 3 yes
(0, 3)
3 > 2(0) 3 > 0 yes
3 > 3 no, again, equal to
(4, 6)
6 > 2(4) 6 > 8 no
6 > 3 yes
(1, 5)
5 > 2(1) 5 > 2 yes
5 > 3 yes
HELP IF YOURE GOOD AT GEOMETRY PLS FIND MISSING ANGLEEEE
Answer:
[tex]m < 1 = 36[/tex]
[tex]m < 2 = 56[/tex]
[tex]m < 3 = 124[/tex]
[tex]m < 4 = 88[/tex]
[tex]m < 5 = 36[/tex]
A football team lost 12 yards on the first play, gained 5 yards on the 2nd play and
lost 3 yards on the final play. What have they done in all?
Answer:
they have lost 10 yards
Step-by-step explanation:
12-5+3=10
Solve the following equation. |x| + 8 = 17 A. x = 9 or x = -9 B. x = 25 or x = -25 C. x = 25 or x = -9 D. x = -25 or x = -9
Answer:
a
Step-by-step explanation:
|x| means absolute value.
17-8=9. the absolute value of 9 is 9. (thats why all the negative answers are wrong)
a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answer:
a(b + c) = a • b + a • c
=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32
Step-by-step explanation:
Answer:
The answer for the blank is 32
Step-by-step explanation:
a force of 10 newtons act in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
A. 2.59 joules
B. 3.88 joules
C. 38.82 joules
D. 150.00 joules
Answer:
C
Step-by-step explanation:
i think
The required work done is 38.82 joules.
Work done to be determine for force of 10 newton on angle of 75° for 15 meters.
Work done is define as the force required to move an object by some displacement.
Here, work done = force x displacement x cosФ
= 10 x 15 x cos75°
= 150 x 0.25
= 38.82 joules
Thus, the required work done is 38.82 joules.
Learn more about work done here:
https://brainly.com/question/13662169
#SPJ2
11=w÷4 how much does w=
Select the correct answer. Which equation, when solved, gives 8 for the value of x?
The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.
[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]
[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]
[tex]-\frac{1}{4}x=-2[/tex]
[tex]x=8[/tex]
Can you show me the answers step by step please?
Answer:
3490
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
Robert found a game spinner that was not completely labeled. The spinner is shown at right. Help Robert figure out what fraction of the spinner is missing.
Circle with four unequal sections, labeled: 1 third, blank, 1 sixth, 3 eighths.
Step-by-step explanation:
Where is the image of the spinner shown?
A rare fish cost $350 per pound of Fish Market Mark of the price 15% how much is the market selling the fish for
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.
Answer:
They intersect at one point
Step-by-step explanation:
I took the test and got 100%
Answer:
They have to intersect at one point
Step-by-step explanation:
Write the equation in point-slope form
of the line that passes through the point
(4, -7) and has a slope of -1/4.
Answer:
first i know but idk then
(54)² evaluate using identities
54^2=54x54
=(50+4)(50+4)
=50^2 + 2x50x4 + 4^2
=2500 + 400 + 16
=2916
Please Mark as brainliest
Answer:
2916
Step-by-step explanation:
[tex] {(54)}^{2} \\ \\ = ( {50 + 4)}^{2} \\ \\ = {(50)}^{2} + {(4)}^{2} + 2 \times 50 \times 4 \\ \\ = 2500 + 16 + 400 \\ \\ = 2916[/tex]
please help me in math