Answer:
Step-by-step explanation:
3x-4y-15=0
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3x-4y-15 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y-15 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000
y-intercept = 15/-4 = -3.75000
Calculate the X-Intercept :
When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000
x-intercept = 15/3 = 5
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Hope This Helps!!!
what is the answer? can someone help
Answer: Choice B
Explanation: The rule you use is [tex]\sqrt{m*n} = \sqrt{m}*\sqrt{n}[/tex]
Answer:
Step-by-step explanation:
A: is not the answer. The answer is √144 which is 12
B: is correct. You can do it this way, by breaking the 9 and 16 apart.
C: I don't know exactly what the logic of 36 is, but it is not the right answer.
D: I can't explain why the choice would be division. It is multiplication of some sort. D is incorrect.
The diagram shows equilateral triangle RST with altitude SV
It is given that RV = 6 meters. What is the length of ST?
Answer:
ST is 12 meters
Step-by-step explanation:
The given triangle ΔRST = An equilateral triangle
The altitude of ΔRST = SV
The length of segment RV = 6 meters
Given that ΔRST is an equilateral triangle, the base angles of the triangles = 60°, therefore, in the formed triangles, ΔRSV, and ΔTSV, ∠RSV = ∠TSV = 90° - 60° = 30°
∴ ΔRSV, and ΔTSV are congruent, based on ASA rule of congruency
∴ Side VT in ΔTSV is congruent to side RV in triangle ΔRSV
The midpoint of side ST
VT ≅ RV
Therefore, VT = RV = 6 meters
RT = RV + VT = 6 + 6 = 12 By segment addition property
In equilateral triangle, ΔRST, all the sides are equal, therefore;
RT = RS = ST = 12 m
ST = 12 meters.
Pls I need this I will give brainly if u help me
[tex]4( \frac{1}{5} x + 7) = 2x - 2[/tex]
[tex]x = 25[/tex]
Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2
Answer:
x=2
Step-by-step explanation:
Why is this a function?
X Y
3. -1
0.
0
-3
-6. 2
(3 and 0 are both assigned to 0)
This is a function because each element in the domain has one and only distinct image in the co-domain.
PLEASE HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
M1=44 M2=136 M3=44 M4=136
Step-by-step explanation:
M3= 44 so M1=44 due to opposite angles being equal
then if two of the angles add to 88
360-88= 272
divide 272 by 2 as M2 and M4 are equal
272/2=136
Answer:
m∠1 = 44°
m∠2 = 136°
m∠4 = 136°
Step-by-step explanation:
m∠1 explanation:
I got it from m∠3 since they're both congruent
m∠2 explanation:
Since we already have the measure of 3 and 1, we can easily add both of the measures (44 + 44 = 88°) then subtract it from 360° (total) = 272°
Then since both measures (2 and 4) are congruent (measuring the exact same length and angle) we can divide 272° ÷ 2 = 136°
m∠4 explanation:
I got it from m∠2 since they're both congruent
Use technology to find the line of best fit for the following data.
(1, 0), (2, 3), (3,1), (4,4), (5,5)
When the equation of the line is in the form y=mx+b, what is the value of **b**?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Given:
The data points are:
(1, 0), (2, 3), (3,1), (4,4), (5,5)
To find:
The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.
Solution:
The general form of best fit line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope of best fit line and b is the y-intercept of the line.
Using the graphing calculator, we get the equation for the best fit line and the equation is
[tex]y=1.1x-0.7[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]b=-0.7[/tex]
Therefore, the value of b is equal to -0.7.
Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x+7)^2 - 11 = 0
Answer:
lesser x = -10.32
greater x = -3.68
Step-by-step explanation:
HELP I WILL AWARD BRAINLIEST
*Prove that corresponding angle bisectors in congruent triangles are congruent.
Answer:
CPCTC
Step-by-step explanation:
BESTIE MY CAPS LOCK KEY IS LIKE STUCK SO YEAH
ANYWAY, THIS IS GOING TO SOUND REALLY AGGRESSIVE
SO CONGRUENT TRIANGLES HAVE 3 EQUAL SIDES AND 3 EQUAL ANGLES
THEY ARE EXACTLY THE SAME
SINCE WE KNOW ALL OF THIS AWESOME INFORMATION, NOW WE CAN THAT THE ANGLE BISECTORS WILL BE CONGRUENT BY CPCTC -
CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT
WE CAN USE AN EXAMPLE TO UNDERSTAND BETTER
SAY YOU HAVE 2 CONGRUENT TRIANGLES
THE ANGLES ARE 50, 60, AND 70
SAY THAT THE ANGLE BISECTORS ARE ON 60
THEY WILL BE CONGRUENT BECAUSE THEY ARE THE CORRESPONDING ANGLES OF 2 CONGRUENT TRIANGLES
BUT WHEN YOU ARE ASKED FOR A REASON, IT IS BECAUSE OF CPCTC
CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT
Please help me this is due very soon!(Q13)
Answer:
Step-by-step explanation:
9) (25-x^2 )(a+2) = (5-x)(5+x)(a+2)
11) 9(v-3)+u^2(3-v)
9(v-3)+u^2( -v+3)
9(v-3)-u^2( v-3)
(9-u^2)(v-3)
(3-u)(3+u)(v-3)
PLEASE HELP MEEEE:((
Answer:
g(x)=[tex](3x)^{2}[/tex]
Step-by-step explanation:
In this graph g(x) will be equal to g(x)=[tex](3x)^{2}[/tex]. Multiplying a squared variable will close the parabola together, but multiplying the variable itself and then calculating the square will exponentially close the parabola. Without the parenthesis x would be substituted for 1, 1 squared is 1 and multiplied by 3 would be 3. Therefore, giving you a coordinate of (1,3). With parenthesis that would be 3 times greater which would give you a coordinate of (1,9) as can be seen in the graph attached below.
If f(x) = 2x²+2 and g(x) = x² - 1 ,find (f- g)(x).
A. 3x² +3
B. 3x² +1
C. x² +1
D. x² +3
Step-by-step explanation:
(F-g) (X)
= f(x) - g(x)
(2x² + 2 )-(x²-1) =
3x²+3
what is the zero of the function
Answer:
A
Step-by-step explanation:
The zero is the value of x where the line crosses the x- axis
The line crosses the x- axis at x = - 5 ← zero
Answer:
-5
Step-by-step explanation:
The zero of a function is the x-value of the location where the function intersects the x-axis.
Here I read at (-5,0), the function intersects the x-axis, so the zero of the functiion is x = -5
Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los vende a 4 € el kilo. ¿ Cuánto ha ganado? ( 1,25p)
Answer:
€270
Step-by-step explanation:
If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;
Cost price = 165 * 2 = €330
If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg
If he rests he sells for € 4 per kilo, then;
Selling price = 150 * 4 = €600
Amount earned = €600 - €330
Amount earned = €270
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Step-by-step explanation:
The two triangle are congruent for the rule SAS
QP congruent to TU
angle P and angle T are both right
side PR is in common
PLZ HELP ANY GUESS WOULD HELP
Answer:
1st onne I believe I couldd be wrong but thats what I got
Step-by-step explanation:
24 karat gold is 100% gold. How pure is 8 karat gold?
Answer:
branllest if right
60%
Step-by-step explanation:
Answer:
Your answer is 33.3% as 8 goes into 24 3 times, then 100 - 33.3(repeating)% should equal 100 percent
Step-by-step explanation:
All you have to do is divide 8/24, and convert it into a percent, by moving the decimal twice to the right.
hy i am in 8th class and my yesterday my math paper anyone help me and anyone in 8th class please reply
Answer:
I'm in 9th grade but i think i can help.
Step-by-step explanation:
Write the equation of a line with a slope of-5/7 and a y-intercept of 1.
Answer:
y = -5/7x + 1
Step-by-step explanation:
y = -5/7x + 1
can someone pls answer and explain this correctly?
Answer:
[tex]6^4[/tex]
Step-by-step explanation:
All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.
First you do parenthesis, [tex](2^2)^2[/tex], when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get, [tex](2^2)^2=2^4=16[/tex]
After that, you do the rest of the exponents as well as multiplication, [tex]3^4=81[/tex].
Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together. [tex]3^4*(2^2)^2=81*16=1296[/tex]
Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, [tex]6^4[/tex] ends up being equal to 1296 which means that is the correct answer.
Answer:
6^4 is equivalent to 3^4 x (2^2)^2
Step-by-step explanation:
3^4 x (2^2)^2 6^8 = 1679616
3^4 x (4)^2 6^4 = 1296
81 x 16 5^4 = 625
1296 5^8 = 390625
Select the rule for each piece. Rule for piece 1: Rule for piece 2:
Answer:
Rule for piece 1: y=-x
Rule for piece 2: y=1
Rule for piece 3: y = 2-x
Step-by-step explanation:
Total area of composite figure
Answer:
Hello! answer: 99 units2
Step-by-step explanation:
9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45
54 + 45 = 99 therefore the area is 99 units2 hope that helps!
PLEASE HELPP
64, 16, 4, 1 converging or diverging
Answer:
The series 64, 16, 4, 1 is convergent.
Step-by-step explanation:
Let be [tex]\{x_{1}, x_{2},...,x_{n}\}[/tex] the set of values of the series. A series is convergent if and only if:
[tex]\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}[/tex] (1)
If we know that [tex]x_{1} = 64[/tex], [tex]x_{2} = 16[/tex], [tex]x_{3} = 4[/tex] and [tex]x_{4} = 1[/tex], then the convergence ratio of each pair of consecutive values are, respectively:
[tex]\frac{x_{2}}{x_{1}} = \frac{1}{4}[/tex], [tex]\frac{x_{3}}{x_{2}} = \frac{1}{4}[/tex], [tex]\frac{x_{4}}{x_{3}} = \frac{1}{4}[/tex]
Hence, the series 64, 16, 4, 1 is convergent.
plzz help me ,.......
Answer:
Step-by-step explanation:
answer for question no 3
answer for question no 4
HELP ASAP- IF YOU ARE CORRECT I WILL MARK BRAINLY
The Answer is:
B) -3/2
What is the slope of the line
Answer:
Slope = 3
Step-by-step explanation:
Take two points and find the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{3-0}{-1-(-2)}\\\\m=\frac{3}{1}=3[/tex]
Solve 7x-c=k for x
...........
Answer:
The value of x in given question will be [tex]x=\frac{k+c}{7}[/tex]
Step-by-step explanation:
Given data:
7x-c=k
Now,
7x-c=K
7x=K+c
[tex]x=\frac{k+c}{7}[/tex]
Therefore,
The value of x in given question will be : k+c/7
given the similar triangles at the left, identify the scale factor.
PLEASE HELPPPPPPPPPPPP
Runner A runs at 10 km/h due north. Runner B leaves the same spot and runs at 12 km/h due east. Find the distance and bearing of runner B from runner A after 30 minutes
Answer: [tex]7.81\ km[/tex]
Step-by-step explanation:
Given
Runner A runs towards North at speed of 10 km/h
Runner B runs towards East at speed of 12 km/h
After half hour, they covered a distance of
[tex]\Rightarrow d_a=10\times 0.5\\\Rightarrow d_a=5\ km[/tex]
[tex]\Rightarrow d_b=12\times 0.5\\\Rightarrow d_b=6\ km[/tex]
They are running in perpendicular direction to each other
So, the distance between them is given by
[tex]\Rightarrow d=\sqrt{d_a^2+d_b^2}\\\Rightarrow d=\sqrt{5^2+6^2}\\\Rightarrow d=\sqrt{61}\\\Rightarrow d=7.81\ km[/tex]
find the base of the triangle when the area is 94.5
Answer:
Base = 10.5 cm
Step-by-step explanation:
GIVEN :-
Height of the triangle = 18 cmArea of the triangle = 94.5 cm²TO FIND :-
The base of the triangleGENRAL FORMULAE TO BE USED IN THIS QUESTION :-
For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex]
SOLUTION :-
[tex]Area = \frac{1}{2} \times Base \times Height[/tex]
[tex]=> 94.5 = \frac{18b}{2}[/tex]
Multiply both the sides by 2[tex]=> \frac{18b}{2} \times 2 = 94.5 \times 2[/tex]
[tex]=> 18b = 189[/tex]
[tex]=> b = \frac{189}{18} = 10.5[/tex]