Lucy graphed the equation x+9y=5 and 4x+15y=-1 and saw that they intersected at the point (-4,1) as shown. What can Lucy conclude? A. (-4,1) is a solution to the system of linear equations. B.(-1,4) is a solution to the system of linear equations. C. (1,-4) is a solution to the system of linear equations. D. (4,-1) is a solution to the system of linear equations.
Answer:
Option A.
Step-by-step explanation:
If a system of equations has two equations and the graph of both equations intersect at point, then the intersection point is the solution of the system of equations.
The given equations are
[tex]x+9y=5[/tex]
[tex]4x+15y=-1[/tex]
It is given that the graph of both lines intersect each other at point (-4,1).
It means, (-4,1) is a solution to the system of linear equations.
Therefore, the correct option is A.
Answer:
a
Step-by-step explanation:
What is the following sum?
4sqrt5+2sqrt5
Answer:
[tex]4\sqrt{5} +2\sqrt{5}\\= 6\sqrt{5}[/tex]
Step-by-step explanation:
Answer: The following above is correct
Step-by-step explanation: C
write (6b)^2 without exponents
Answer:
36 b^2 = 36 bb
Step-by-step explanation:
(6b)^2
This means multiply what is inside the parentheses by itself
(6b) * 6b
36 b^2
36 b*b
Find the value of x in the quadrilateral below.
Answer:
x=66
Step-by-step explanation:
118+106+70+x=360 The total sum of degrees in a quadrilateral is 360.
294+x=360 Add the given angle measures together.
x=66 Subtract 294 from both sides.
PLZ HELP WILL GIVE BRANLYIST! Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same? because both result in the equation 8 x = 400, which simplifies to x = 5 because both result in the equation 8 x = 400, which simplifies to x = 50 because both result in the equation 40 x = 80, which simplifies to x = 2 because both result in the equation 40 x = 80, which simplifies to x = 20
Answer:
Because both result in the equation 8x = 400 which simplifies to 50.
Step-by-step explanation:
If you cross multiply both of the pairs, you will get 8x = 400.
divide 400 by 8 to simplify and you get 50
Answer:
It would be B.
Step-by-step explanation:
Reduce to lowest terms.
3m^2-3n^2/6m-6n
ANSWER ASAP
Answer:
3.
Step-by-step explanation:
3m^2-3n^2= 3(m^2-n^2) = 3 (m+n)(m-n)
6m-6n= 6 (m-n)
3(m+n)~(m-n)~/6~(m-n)~ = (m+n)/2
What percent of 75 is 18.75
Answer:
25%
Step-by-step explanation:
X=(18.75*100)/75
PLS HELP ASAP LIKEEE
Answer:
103.5
Step-by-step explanation:
Answer:
103.5
Step-by-step explanation:
Jeff said that his city got 11/3 inches of snow. Write this fraction as a mixed number
Answer: 11/3 as a mixed number is 3 2/3
Answer:
3 2/3 inches of snow
Step-by-step explanation:
Your denominator is 3. Use the denominator to see how many times it goes into the numerator.
Knowing 3*3 = 9, then 3 goes into 11 three times
subtract 9 from 11 : 11 - 9 = 2
You are given a remainder of 2
Your whole number is three, and because you have 2 remaining from the 11, the 2 becomes 2/3
Answer: 3 2/3 inches of snow
Hope this helps!
How do I solve the problem by isolating x
Answer:
see below
Step-by-step explanation:
10x +8 = 3(x-2)
Distribute
10x +8 = 3x-6
Subtract 3x from each side
10x+8-3x = 3x-6-3x
7x +8 = -6
Subtract 8 from each side
7x+8-8 = -6-8
7x = -14
Divide each side by 7
7x/7 = -14/7
x = -2
Answer:
10x + 8 = 3x - 6, 7x = -14
Step-by-step explanation:
10x + 8 = 3 ( x - 2 ) = 10x + 8 = 3x - 6
subtract 8 from both sides of the equation: 10x + 8 = 3x - 6
10x + 8 - 8 = 3x - 6 - 8
simplify
10x = 3x - 14
subtract 3x from both sides
10x - 3x = 3x - 14 - 3x
simplify
7x = -14
divide both sides by 2
7x / 2 = -14 / 2
simplify
x = -2
Express 5.43 x 10-4 in standard notation.
Answer:
0.000543
Step-by-step explanation:
since the exponent is -4, you have to move the decimal 4 places to the right to get 0.000543
Do this for me please x
Question 4
How much water can this container hold? Use 3.14 to
approximate n. Round your answer to the nearest
hundredth.
267.95 cm3
2,143.57 cm
8 cm
100.48 cm3
535.89 cm
13
helppp lol
which system of linear equations is represented by the graph?
Answer:
y ≥ x - 2, and x + 2y < 4 ; Option C
Step-by-step explanation:
Consider the y - intercept and slope of 1 of these given lines,
[tex]y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1[/tex]
From this we can formulate the equation of 1 line;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2[/tex]
Now consider the y - intercept and slope of the remaining line;
[tex]y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }[/tex]
This creates a line with the equation as such;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4[/tex]
From this we see that the solution of the system is such;
Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C
Given that f(x) =19x2 +152 solve the equation f(x) =0
Answer:
152
Step-by-step explanation:
f(x) =19x2 +152
f(0) = 190(0)^2 + 152
= 152
The second statement is the
of the first.
ab
baya
A. converse
B. contrapositive
C. inverse
D. contradiction
Answer: it is contrapositve
Whats the area of each figure ?
Answer:
A:870 B:438.82
Step-by-step explanation:
L x W x H
have a nice day :-)
Idk how to solve triangular prisms
Answer:
The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the left) times the height,h.
Step-by-step explanation:
hope that make sense, i tried to find something that explained
Step-by-step explanation:
Surface area is found by adding up all the areas of the different figures. When there are multiple figures of the same dimensions, you can just multiply them by the number of their amount.
The areas you'll be using for the triangular prism are:
[tex]a = \frac{1}{2} bh[/tex]
and
[tex]a = lw[/tex]
since there are both rectangles and triangles in this figure.
Using the prism, then, it's time to make a formula.
[tex]2( \frac{1}{2} bh) + 2(lw) + lw[/tex]
I put a 2 in front of the triangle's area because there are 2 triangles in this prism.
There's a 2 in front of the side of the triangle's area (it's a rectangle) because it has two sides.
That last lw doesn't have a number on it because it's for the base, and this prism only has one base.
Now, use the dimensions that are given to you to substitute.
[tex]2( \frac{1}{2} )(14)(24) + 2(10)(25) + (10)(14) \\ 336 + 500 + 140 \\ 836 + 140 \\ 976[/tex]
So, 976cm^2 is your area.
Answer:
[tex]976 {cm}^{2} [/tex]
Multiply.
(4x+2)(3x+3)
The right answer is 12x^2+18x+6
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] \boxed{12 {x}^{2} + 18x + 6} [/tex]
Step-by-step explanation:
[tex] = > (4x + 2)(3x + 3) \\ \\ = > 4x(3x + 3) + 2(3x + 3) \\ \\ = > (4x \times 3x) + (4x \times 3) + (2 \times 3x) + (2 \times 3) \\ \\ = > 12 {x}^{2} + 12x + 6x + 6 \\ \\ = > 12 {x}^{2} + 18x + 6[/tex]
which of the following rational functions is graphed below?
Answer:
C
Step-by-step explanation:
Vertical asymptotes= -2,1
Draw an ordered stem and leaf diagram to show this information.
3, 8, 12, 12, 14, 20, 21, 23, 26, 34
Im not really sure how to explain it but the number at the top of the ‘stem’ side has to be the smallest number and the bottom one is the biggest.
You then have to write out the numbers in the ‘leaf’ side by only putting one digit numbers in order from smallest to biggest.
PLEASE HELP ME! WILL NAME BRAINLIEST
Find the equation of the line perpendicular to y = x -10 passing through point (10 , -5)
Answer:
y= -x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product of the gradients of 2 perpendicular line is -1.
Given line: y= x -10
Gradient of given line= 1
m(1)= -1
m= -1
y= -x+c
To find c, substitute a coordinate.
when y= -5, x=10,
-5= -10 +c
c= 10-5 (+10 on both sides)
c=5 (simplify)
Thus, the equation is y= -x +5.
PLEASE HELP ME, I REALLY NEED HELP!!
Carrie Mae is designing a brace for a large rectangular painting. The painting measures 60 inches by 35 inches. What is the measure of the diagonal brace? Round your answer to the nearest tenth of an inch. Using details, explain how you got your answer. *
Answer:
69.5 = c
Step-by-step explanation:
35 ^2 + 60 ^2 = c^2
1225 + 3600 = c ^2
[tex]\sqrt{4825}[/tex] = [tex]\sqrt{c^{2} }[/tex]
69.5 = c
The ratio of the measures of the angles of a triangle is 4:6:8. Find the measure of the largest angle.
Largest angle?
Answer:
80°
Step-by-step explanation:
The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:
4x + 6x + 8x = 180
18x = 180
x = 10 which means the largest angle (8x) = 8 * 10 = 80°
3(9.99) + 5(1.29).
plz Answer
show work
Answer:
36.47
Step-by-step explanation:
3x9.99=29.97
5x1.29=6.45
29.97+6.45=36.47
Answer:
36,42
Step-by-step explanation:
3 x 9,99 = 29,97
5 x 1,29 = 6, 45
29,95 + 6,45 = 36,42
22. The perimeter of a rectangle is 84 inches and the width is 7 inches.
What is the length of the rectangle?
A.70 inches
B.35 inches
C.77 inches
D.This information cannot be determined.
Answer:
35 inches
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
We know the perimeter and the length
84= 2 ( l+7)
Divide each side by 2
84/2 = 2/2 (l+7)
42 = (l+7)
Subtract 7 from each side
42-7 = l+7-7
35 = l
The length is 35 inches
Answer:
[tex]l = 35 \: \: inches[/tex]
Step-by-step explanation:
[tex]perimeter \\84 = w + w + l + l \\ 84 = 7 + 7 + 2l \\ 84 = 14 + 2l \\ 84 - 14 = 2l \\ 70 = 2l \\ \frac{70}{2} = \frac{2l}{2} \\ l = 35 \: \: inches[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
segment AB is dilated from the origin to create segment A prime B prime at A' (0, 8) and B' (8, 12). What scale factor was segment AB dilated by?
The scale factor which segment AB was dilated by is 4
How to determine the scale factor of dilation?The graph that completes the question is added as an attachment
From the attached graph, we have the following coordinates
A = (0, 2)
B = (2, 3)
The coordinates of the image of dilation are given as:
A' = (0, 8)
B' = (8, 12)
Divide the coordinates of A' by A
So, we have:
Scale factor = A'/A
This gives
Scale factor = (0, 8)/(0, 2)
Evaluate the quotient
Scale factor = 4
Hence, the scale factor which segment AB was dilated by is 4
Read more about dilation at:
https://brainly.com/question/3457976
#SPJ1
Urgent, Please help!
Answer:
min: 52max: 78median: 63lower quartile median: 54upper quartile median: 73interquartile range: 19Step-by-step explanation:
the temperatures ordered from least to greatest
52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78
the min is 52
the max is 78
median:
52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78
(62+64)/2=126/2=63
thus the median is 63
now we don't include the median in finding the upper and lower quartile medians:
lower quartile median:
52, 53, 54, 54, 57, 62
54 (same #s no need to add up and divide by 2)
upper quartile median:
64, 69, 73, 73, 77, 78
73 (same #s no need to add up and divide by 2)
interquartile range is:
upper quartile median-lower quartile median:
73-54
19
two congurent, isocoles triangles are joined as shown to form a parallelogram. the largest angle of the parallelogram is 116 degrees
write two equations
solve them to find the value of A and the value of B
Answer:
64°, 52°
Step-by-step explanation:
2a+b=180°a+b=116° ⇒ b=116°-a2a+116°-a=180° ⇒ a=180°-116°= 64°b=116°-64°= 52°will give brainliest if answer correctly!!
Answer:
A
Step-by-step explanation:
Sorry for the late response but the previous 2 answers lacked an explanation.
The sample space of an experiment / trial is the range of all outcomes from that experiment / trial. In this case, the trial is spinning the spinner. You might think that the answer is D because those are all of the possible outcomes you might get when spinning the spinner, however, some of the outcomes are repeated. In a sample space, each element of the sample space set is different, therefore, the answer is {1, 2, 3, 4} which is A.
