Answer:
x + 5y -18=0
Step-by-step explanation:
Two points are given to us and we need to find the equation of the line. The given points are (6,3) and (-6,6) . Firstly let's find out the slope of the line .
Finding slope :-
[tex]\implies Slope = \frac{ y_2-y_1}{x_2-x_1} \\\\\implies Slope =\frac{ 3-6}{6+6} \\\\\sf\implies Slope =\frac{ -3}{12} \\\\\sf\implies Slope = \dfrac{-1}{4} [/tex]
Using point slope form :-
[tex]\implies y - y_1 = m( x - x_1 ) \\\\\sf\implies y - 3 = \dfrac{-1}{4}( x - 6)\\\\\sf\implies 4y - 12 = 6 - x \\\\\sf\implies x + 4y -12-6=0 \\\\\sf\implies\underline {\underline{ x + 5y -18=0}}[/tex]
please help asap! ----------------------------
Answer:
[tex]f^{-1}(f(58))=58[/tex]
[tex]f(f(5))=11[/tex]
Step-by-step explanation:
We are given that the table which shows some inputs and outputs of the invertible function f with domain all real numbers.
We are given that
x f(x)
5 9
3 -2
1 -5
18 -1
0 1
9 11
We have to find
[tex]f^{-1}(f(58))[/tex] [tex]f(f(5))[/tex]
We know that
[tex]f^{-1}(f(x))=x[/tex]
Using the property
[tex]f^{-1}(f(58))=58[/tex]
[tex]f(5)=9[/tex]
[tex]f(f(5))=f(9)[/tex]
[tex]f(f(5))=11[/tex]
find area of the figure
thanks for any help
Answer:
8050 m²
Step-by-step explanation:
We can divide the diagram up into two components: a rectangle with a width of 60 m and a height of 80 m, and a triangle with a base of 130 m (190 - 60) and a height of 50 m (80 - 30).
The area of the rectangle:
A = lw
A = 60 m (80 m)
A = 4800 m²
The area of the triangle:
A = 1/2 b*h
A = 1/2 (130 m) (50 m)
A = 1/2 (6500 m²)
A = 3250 m²
Now, we can add the areas of the two separate components:
A = 4800 m² + 3250 m²
A = 8050 m²
find the coefficient of variation from the following data mean=4 variance=25
HELP 20 points Congruence by SSS AND SAS NO LINKS
Answer:
where is the question oooo
4x^2+22x factor the polynomial
Answer:
2x(2x+11)
Step-by-step explanation:
4x^2 +22x
Factor out 2x
2x*2x +2x*11
2x(2x+11)
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
Inside
Step-by-step explanation:
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of poiñt from centre is less than the radius.
Hence the point lies within the circle
Which of the following expressions represents the distance between -3.9 and -4.7
Answer:
None of the above
Step-by-step explanation:
Distance is the difference between two positions. That is x1- x2 Since both numbers were negative, you would want the absolute value of one plus the other, because subtracting a negative results in a positive. For this example the distance would look more like this:
| -4.7 - ( -3.9 ) | = .8
Drag each shape to the correct category. Identify which shapes are similar to shape A and which are not.
What is the sum of x2 − 3x + 7 and 3x2 + 5x − 9
Answer:
4x²+2x-2
Step-by-step explanation:
x²-3x+7
+
3x²+5x-9
Answer:
4x² + 2x - 2
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x² - 3x + 7 + 3x² + 5x - 9
Step 2: Simplify
Combine like terms (x²): 4x² - 3x + 7 + 5x - 9Combine like terms (x): 4x² + 2x + 7 - 9Combine like terms: 4x² + 2x - 2What is the total value of digit 7 in the number 32.8794
Flying against the wind, a jet travels miles in hours. Flying with the wind, the same jet travels miles in hours. What is the rate of the jet in still air and what is the rate of the wind
Answer:
Velocity in still air: 760 mi/ hr
Velocity against the wind: 210 mi/ hr
Step-by-step explanation:
Given
See attachment for complete question
Required
The rate in still air
The rate of the wind
From the question, the velocity (v) against the wind is:
[tex]v =\frac{distance}{time}[/tex]
[tex]v =\frac{3040}{4}[/tex]
[tex]v_1 =760mi/hr[/tex]
The velocity with the wind is:
[tex]v_2 = \frac{8260}{7}[/tex]
[tex]v_2 = 1180mi/hr[/tex]
Let:
[tex]x \to[/tex] velocity in still air
[tex]y \to[/tex] velocity of the wind
So, we have:
[tex]x - y = 760[/tex]
[tex]x + y = 1180[/tex]
Add both equations
[tex]x + x -y + y = 760 + 1180[/tex]
[tex]2x = 1940[/tex]
Divide by 2
[tex]x = 970[/tex]
Substitute [tex]x = 970[/tex] in [tex]x - y = 760[/tex]
[tex]970 - y= 760[/tex]
Make y the subject
[tex]y = 970 - 760[/tex]
[tex]y = 210[/tex]
What is the length of DK?
A) 8.5
B) 12.7
C) 7.0
D) 3.5
Answer:
A
8.5 is the answer
If you test is going on so
all the best!
I tried figuring it out but its kinda hard not knowing what to make as an equation?
x + 2y when x = 1 and y = 4
Answer:
9
Step-by-step explanation:
x = 1
y = 4
x + 2y = 1 + 8 = 9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
9
Step-by-step explanation:
x + 2y
subtitute:
1 + 2(4)
simplify:
1 + 8 = 9
Someone please help me ASAP
Step-by-step explanation:
a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image
Help please
If the measure of angle 6 is 140 degrees and the measure of angle 7 is (x + 30) degrees, what value of x will guarantee n ∥ m?
Answer:
x = 10
Step-by-step explanation:
If n // m , then angle 6 and angle 7 are co interior angles and they are supplementary.
∠6 + ∠7 = 180
140 + x +30 = 180
x + 170 = 180
x = 180 - 170
x = 10
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10 + 2.5 x less-than-or-equal-to 40
Which best describes the number of bags of balloons she can buy?
Answer:
she can buy 0 to 12 bags but no more
Step-by-step explanation:
What is the scale factor from abc to xyz?
Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{XY}{AB}[/tex] = [tex]\frac{9}{45}[/tex] = [tex]\frac{1}{5}[/tex] → C
The scale factor will be equal to 1 / 5. the correct option is C.
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
In the given image all the angles are the same and the sides are dilated so the scale factor will be calculated as below,
Scale factor = Original size / dilated size
Scale factor = XY / AB
Scale factor = 9 / 45
Scale factor = 1 / 5
Therefore, the scale factor will be equal to 1 / 5. the correct option is C.
To know more about scale factors follow
https://brainly.com/question/25722260
#SPJ2
what is 50000000000000000000000000000 cubed
Answer:
50000000000000000000000000000*50000000000000000000000000000*50000000000000000000000000000=1.25e+86
Hope This Helps!!!
Which of the following is an example of an exponential equation?
y=(3x)^2
y=x/2
y=x^4
y=2(3)^x
Answer:
Option D
Step-by-step explanation:
y = 2(3)^x is the example of exponential equation.
Solve the attachment...
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
I need help with this question. Can you please help me. I’ll give you 18 points if it’s correct
Answer:
34.4
Step-by-step explanation:
Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.
[tex]\frac{MN}{NO}[/tex] = [tex]\frac{PQ}{QR}[/tex]
[tex]\frac{14}{11}[/tex] = [tex]\frac{PQ}{27}[/tex]
Cross multiply
14(27) = 11(PQ)
378 = 11(PQ)
[tex]\frac{378}{11}[/tex] = PQ
PQ = 34.4
Please help me I really can't do these
Answer:
[tex]110 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
[tex]===========================================[/tex]
Squares(2):
5*5=25
Multiply by 2
50 in.
Rectangles(4):
5*3=15
Multiply by 4.
60 in.
Total:
Add.
50+60= 110 in2
I hope this helps!
which polygon has an interior angle sum of 1080
Answer:
octagon which has eight sides.. (1st option )
A circle has a diameter with endpoints (-8,2) and (-2,6). What is the equation of the circle?
Answer:
the equation would be (x+5)2+(y−4)2=r2
Step-by-step explanation:
The equation would be
(x+5)2+(y-4)2=r2
A loan of 28,000 is made at 4% interest, compounded annually. After how many years will the amount due reach 48000 or more?
Answer:
The time is 13.7 years.
Step-by-step explanation:
principal, P = 28000
Rate of interest , R = 4 % annually
Amount, A = 48000
Let the time is t.
Use the formula of the compound interest.
[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]
please help ,,
supply the missing reason in statement 4 of the proof of the isosceles triangle theorem.
Answer:
h
Step-by-step explanation:
a. 8
b. 4
c. 16
d. 12
b. 4
....................
3x =24
or, x= 24/3
or, x =8
is 65.4279 irrational or rational? Explain
line F has a slope of. -6/3 and line G has a slope of -8/4.
what can be determined about distinct lines F and G?
Given:
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
= [tex]-2[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
= [tex]-2[/tex]
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.
