Answer:
The points (3, 0) and (0, -3) would be the two solutions.
Hence, options A and D are correct.
Step-by-step explanation:
We know that when the system of equations meets at a point on a coordinate plane, that point or points will be the required set of solutions.
The point where the system of equations meets is called the point of intersection.
If we closely observe, the graph indicates that the graph of two equations meets at the following two points:
at x = 3 and y = 0at x = 0, y = -3Therefore, the points (3, 0) and (0, -3) would be the two solutions.
Hence, options A and D are correct.
The prime number between 51 and 71
Answer:
There is more than one but here are the options. 53, 59, 61, and 67
What is the slope and equation of a line parallel to the y-axis passing through point (9, -1)?
O A. The slope is zero and the equation of the line is y=-1.
O B. The slope is undefined and the equation of the line is y = -1.
O C. The slope is undefined and the equation of the line is x = 9.
D. The slope is zero and the equation of the line is x
Answer:
The slope is undefined and the equation of the line is x = 9 ⇒ C
Step-by-step explanation:
Parallel lines have the same slopes and different y-interceptsThe slope of any vertical line is undefinedThe equation of any vertical line is x = a, where a is the x-coordinate of a point that lies on the lineAll x-coordinates of the points lie on a vertical line equalLet us solve the question
∵ The line is parallel to the y-axis
∵ The y-axis is a vertical line
→ By using the second note above
∴ The slope of the y-axis is undefined
→ By using the first note above
∴ The slope of the line is undefined
→ By using the third note above
∵ The equation of the vertical line is x = a
∵ a is the x-coordinate of a point on the line
∵ The line passes through the point (9, -1)
∴ a = 9
∴ The equation of the line is x = 9
Gabi tried to solve an equation step by step.
0.1(0.5m+6)=2
Answer:
m=28
Step-by-step explanation:
0.1(0.5m+6)=2
Distribute
.05m +.6 =2
Subtract .6 from each side
.05m +.6-.6 = 2-.6
.05m = 1.4
Divide each side by .05
.05m/.05 = 1.4/.05
m = 28
slove for x
3x+9y=24
Answer:
Step-by-step explanation:
Simplifying
x = 8 + 3y
Answer:
here u goooooooo
Step-by-step explanation:
x= 8-3y
Can someone help with this
Answer:
The 3rd one
Step-by-step explanation:
A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe. Fruit Cups Used Apples 3 Mangoes 1 Blueberries 2 Blackberries 1 If a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make? 2 batches 4 batches 6 batches 8 batches
Answer:
4 batches!!
Step-by-step explanation:
apples + blackberries = 16 cups
blackberries = 1 for one batch
apples = 3 for one batch
1 x 4 = 4
3 x 4 = 12
12 + 4 = 16
Answer:
The Correct Answer Is B.) 4 Batches
Step-by-step explanation:
What is the slope of the line passing through the points (1, -5) and (4, 1)?
A. 2
B. -4/5
C. 5/4
D. -2
Answer:
5/4
Step-by-step explanation:
m = y2-y2 / x2-x3
Help with this homework pls
Answer:
We conclude that:
[tex]b=a-cd;\quad \:c\ne \:0[/tex]
Hence, option A is true.
Step-by-step explanation:
Given the expression
[tex]\frac{a-b}{c}=d[/tex]
Solving for b
[tex]\frac{a-b}{c}=d[/tex]
Multiply both sides by c
[tex]\frac{\left(a-b\right)c}{c}=dc;\quad \:c\ne \:0[/tex]
simplify
[tex]a-b=dc;\quad \:c\ne \:0[/tex]
Subtract a from both sides
[tex]a-b-a=dc-a;\quad \:c\ne \:0[/tex]
Simplify
[tex]-b=dc-a;\quad \:c\ne \:0[/tex]
Divide both sides by -1; c≠0
[tex]\frac{-b}{-1}=\frac{dc}{-1}-\frac{a}{-1};\quad \:c\ne \:0[/tex]
simplify
[tex]b=a-cd;\quad \:c\ne \:0[/tex]
Therefore, we conclude that:
[tex]b=a-cd;\quad \:c\ne \:0[/tex]
Hence, option A is true.
If using the method of completing the square to solve the quadratic equation
2? + 4x + 3 = 0, which number would have to be added to "complete the square"?
Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Answer:
to solve quadratic equations you need to first figure out how many terms you have and if you have more than 3, your in luck but the AZB formula will not include the terms 1 2 or 3
Step-by-step explanation:
HELP ME PLEASE FAST. Which description best compares the graphs of these two functions?
Answer:
what #1 said
Step-by-step explanation:
Find the values x, y,and z
Step-by-step explanation:
x°+y°=90°
mSquare =360°
z°= 360°-(90°+90°+51°)
z°=360°-231°
z°=129°
mTriangle=180°
angle in base of triangle is equal
because this is isosceles triangle
so 2y°+z°=180°
2y°+129=180°
2y°=180°-129°
2y°=51°
y°=51°/2
y°=25.5°
x°+y°=90°
so x°=90°-y°
x°=90°-25.5°
x°=64.5°
final
x=64.5°,y=25.5°,z=129°
What is the product?
43.4-3
O 0
1
4
6
Answer:
1
Step-by-step explanation:
I need help Find the product.
45 × 40
0 1 2 3 4 5 6 7 8 9 10 x y
find the equation of the line shown if right will mark brainliest answer
Answer:
Y=x+6
Step-by-step explanation:
Which value for the constant ccc makes w=5w=5w, equals, 5 an extraneous solution in the following equation? \sqrt{29+4w}=23-cw 29+4w =23−cw
Answer:
c=6
Step-by-step explanation:
In order to solve the original equation, we would have to square both sides of the equation:
\begin{aligned}\sqrt{29+4w}&=23-cw\\\\ \left(\sqrt{29+4w}\right)^2&=(23-cw)^2\\\\ 29+4w&=(23-cw)^2\end{aligned}
29+4w
(
29+4w
)
2
29+4w
=23−cw
=(23−cw)
2
=(23−cw)
2
However, squaring both sides of an equation can create extraneous solutions! [Why?]
Hint #22 / 4
Let's plug \blueD w=\blueD{5}w=5start color #11accd, w, end color #11accd, equals, start color #11accd, 5, end color #11accd into the last equation we obtained:
\begin{aligned}29+4\blueD w&=(23-c\blueD{w})^2\\\\ 29+4(\blueD 5)&=(23-c(\blueD{5}))^2\\\\ 49&=(23-5c)^2\end{aligned}
29+4w
29+4(5)
49
=(23−cw)
2
=(23−c(5))
2
=(23−5c)
2
This equation is correct, both when 23-5c=723−5c=723, minus, 5, c, equals, 7 and when 23-5c=-723−5c=−723, minus, 5, c, equals, minus, 7.
However, the original equation is not correct for 23-5c=-723−5c=−723, minus, 5, c, equals, minus, 7, since this way we obtain \sqrt{49}=-7
49
=−7square root of, 49, end square root, equals, minus, 7.
Hint #33 / 4
Therefore, an extraneous solution is obtained for the ccc-value that makes 23-5c23−5c23, minus, 5, c equal -7−7minus, 7, which is c=6c=6c, equals, 6.
Substituting this back into the original equation gives \sqrt{29+4w}=23-6w
29+4w
=23−6wsquare root of, 29, plus, 4, w, end square root, equals, 23, minus, 6, w. You can now solve this for www and see for yourselves that w=5w=5w, equals, 5 is indeed extraneous.
Hint #44 / 4
The answer is:
c=6c=6
c = 6, makes w = 5 an extraneous solution of the equation √(29 + 4w) = 23 - cw.
What are extraneous solutions?A root of a transformed equation that is not a root of the original equation because it was omitted from the domain of the original equation is referred to as an extraneous solution.
How to solve the question?In the question, we are asked to find the value for the constant c, that makes w = 5, an extraneous solution in the equation:
√(29 + 4w) = 23 - cw.
We first try to solve this equation, by squaring both sides,
29 + 4w = (23 - cw)²,
or, 29 + 4w = 23² - 2(23)(cw) + (cw)²,
or, 29 + 4w = 529 - 46cw + c²w²,
Now, we substitute w = 5, in the above equation to get:
29 + 4(5) = 529 - 46c(5) + c²(5)²,
or, 29 + 20 = 529 - 230c + 25c²,
or, 25c² - 230c + 480 = 0.
Solving this by the quadratic formula, we get:
[tex]c = \frac{-(-230)\pm \sqrt{(-230)^{2}-4(25)(480)}}{2(25)}[/tex] ,
or, [tex]c = \frac{230\pm \sqrt{52900-48000}}{50}[/tex] ,
or, [tex]c = \frac{230\pm \sqrt{4900}}{50}[/tex] ,
or, [tex]c = \frac{230\pm 70}{50}[/tex] ,
or, c = 300/50 or 160/50,
or, c = 6 or c = 3.2.
Now, we will check these values in the original equation by keeping w = 5.
When c = 6:
√(29 + 4w) = 23 - cw,
or, √(29 + 4(5)) = 23 - (6)(5),
or, √(29 + 20) = 23 - 30,
or, √49 = -7,
or, 7 = -7, which is not true.
Hence, c = 6 makes w = 5 an extraneous solution.
When c = 3.2,
√(29 + 4w) = 23 - cw,
or, √(29 + 4(5)) = 23 - (3.2)(5),
or, √(29 + 20) = 23 - 16,
or, √49 = 7,
or, 7 = 7, which is true.
Hence, c = 3.2 makes w = 5 a proper solution.
Therefore, c = 6, makes w = 5 an extraneous solution of the equation √(29 + 4w) = 23 - cw.
The question mentioned is not understandable. For proper question, refer to the attachment.
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What is the equation of the line that passes through the point (-2, 1) and has a
slope of – ?
Accurate Explanation: Aloha! Basically, as I can see here, you're missing a slope. But you need at least 1 point and a slope in order to write an equation. Hope it helps.
Solve using the quadratic formula
x2 + 2x – 2 = 0
Give your answers to 2DP.
X =
X =
hewo how u doin'. i am doing gooood!
Answer:
hello im good
Step-by-step explanation:
Sorry, the last one wasn’t showing the picture. Is this a function or not? Also tell me how you got the answer. TwT ty
Answer:
yes this is a function
Step-by-step explanation:
simple method to find if something is a function
if you can draw a vertical line at any point on the graph and get two intersections, it is not a function
What is the slope of the line that goes through (2,6) and (4,5)
Answer:
-1/2
Step-by-step explanation:
You find the change in the y coordinates. 6 -> 5 is -1. Now the same for the x. 2 -> 4 is +2. now place them in a fraction with the y/x -1/2. if both were negative then you would just cancel out the negatives.
The measures of two interior angles of a triangle are 108° and 54°. What is the measure of the third angle?
A. 18°
B. 38°
C. 54°
D. 108°
Answer:
Answer is 18 degree as per the question
Answer: A. 18°
Step-by-step explanation:
Your formula is 108°+54°+X=180°
To find X, add 108° & 54°. The sum is 162°.
Next you need to subtract your sum from 180°.
180°-162°=18°
X=18°
Explain how you know pi is a constant. Use ratios of two circles to justify your answer.
Answer:
ratio is a constant since all circles are geometrically similar and linear proportions between any similar geometric figures are constant.
Step-by-step explanation:
A circular "Do Not Enter" road sign has a diameter of 54 centimeters. Which measurement is closest to the area of the sign in square centimeters? 84.78 cm² 169.56 cm² 339.12 cm² 2289.06 cm²
Answer:
it is 169.56
Step-by-step explanation:
Answer:
89.78
Step-by-step explanation:
54 ÷ 2 = 27
27 x 3.14 = 89.78
hope it helps
The shapes show that there are 4 squares for every
6 circles and 4 squares.
4 circles.
6 circles.
8 circles.
10 circles.
Answer:
8
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
beacause there are 4 squares for every 6 circles.
How can you determine if a graph is proportional?
Once upon a time a brave and mathematically-inclined warrior named Al Jebra set out on a quest to rescue the kidnapped Princess Polly Nomial.
First, Al needed to get to the room of the stolen Princess to read the ransom note left behind. The Princess lived in the tower with no stairs (for security purposes, ironically). Al plans to use his 17 ft ladder to climb in a window 15 ft up the tower wall.
How far from the wall should Al position the bottom of the ladder so that the top reaches the window ledge? The ladder is 17 ft long.
Answer:
2 feet
Step-by-step explanation:
Hellloooo Please help ASAP!!!!!!!!!!
Answer:
There is no horizontal asymptote
The length of a TV is 16/9 times the width. The length of Mrs Hoang’s new TV is 32 inches. What is it’s width?
Answer: 4,608
Step-by-step explanation:
9 x 16 = 144 x 32 = 4, 608
Answer:28 inches
Step-by-step explanation:
which ballon was father from the town at the beginning, and which traveled more quickly.
Ramon makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Whose nectar is more sugary
Answer:
Tiffany
Step-by-step explanation:
Ramon is 4 to 1 water to sugar
Tiffany is 3 to 1 water to sugar
The nectar that is more sugary is Tiffany's nectar.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that Ramon makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Therefore, the ratio of sugar to water can be written as,
Sugar / Water = 2 cups of sugar / 8 cups of water
Sugar / Water = 1/4
Sugar / Water = 0.25 cups of sugar per cup of water
Also, given that Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Therefore, the ratio of sugar to water can be written as,
Sugar / Water = 3 cups of sugar / 9 cups of water
Sugar / Water = 1/3
Sugar / Water = 0.33 cups of sugar per cup of water
Since the ratio of sugar to water is more in Tiffany's nectar (0.33 > 0.25). Therefore, Tiffany's nectar is more sugary.
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