The values of the letters in coordinates (a, b) and (c,d) are;
a = -4
b = -6
c = 2
d = 6
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
We are told that they intersect at coordinates; (a, b) and (c, d).Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
Let us put 10 - x² into eq 1 to get;-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation solver, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
Thus, the coordinates are; (-4, -6) and (2, 6)Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
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Will give BRAINLIEST!!!! No spam pls :)
(Pic is provided)
1. Why is segment B'C' on the same line as its corresponding side, segment BC?
2. Explain how you know that segment A'C' is parallel to its corresponding side, segment AC.
3. What relationship does angle ACB have with its corresponding angle A'C'B'? Explain or show your reasoning.
please just help mee
Step-by-step explanation:
The rates of:
- coffee Bean To Go = 19/4 = $4.75
per pound
- coffee 4U = $5.25 per pound
the correct answer is :
B. coffee Bean To Go is cheaper,
selling coffee at $4.75 per pound
Please what's -9/13 + -6/13
Step-by-step explanation:
-9/13 + -6/13
(-9 - 6)/ 13
= -15/13
hope it helps ya
Write an equation in which the quadratic expression 4x^2-4x-48 equals 0.
Answer:
4x2 + -4x + -48 = 0
4x2 + -4x + -48 = 0Reorder the terms:
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0Ignore the factor 4.
Step-by-step explanation:
hope it helps:)
help math!!
------------------
Answer:
your answer is 5.............
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The Correct choice is :
E. 13Solution is in attachment ~
A rectangle's length is four-fifths its width. The
perimeter is ten less than 5 times its width.
What is the area of the rectangle?
Solve the equation
6×+2(2×-3)=18
Answer:
x= 2.4
hope this help you out
Answer:
[tex]x=\frac{12}{5}[/tex]
[tex]x=2.4[/tex]
Step-by-step explanation:
[tex]6x+2\left(2x-3\right)=18[/tex]
Expand 2(2x-3) by applying Distributive law:
[tex]2\times \:2x-2\times \:3[/tex]
Multiply:
[tex]2\times \:2x=4[/tex]
[tex]2\times \:3=6[/tex]
[tex]4x-6[/tex]
[tex]6x+4x-6=18[/tex]
Combine like terms:
[tex]6x+4x=10x[/tex]
[tex]10x-6=18[/tex]
Add 2 to both sides:
[tex]10x-6+6=18+6[/tex]
[tex]10x=24[/tex]
Divide both sides by 10:
[tex]\frac{10x}{10}=\frac{24}{10}[/tex]
[tex]x=\frac{12}{5}[/tex]
_____________________
5)
4
3
2
1
3
-2
-1
1
- 1
2
3 4
2
3
-4
-6
Find the slope of the line graphed.
My Answer:
To mix a particular shade of purple paint, red paint and blue paint are mixed in the ratio 5:3. To make 20 gallons of this shade of purple paint, how many gallons of red and blue paint should be used?
Type the correct answers into the boxes below.
red paint:
gallons
blue paint
gallons
PLEASE HELP LIKE ACUALLY HELP INSTEAD OF SPAM ITS REALLLYYT IMPORTAMNTT
Answer:
nice
Step-by-step explanation:
srry figure it out its not that complicated to waste my time on it
Point LL is located at (4,5)(4,5) on the coordinate plane. Point LL is reflected over the yy-axis to create point L'L ′ . What ordered pair describes the location of L'?L ′ ?
Answer:
(-4, 5)
Step-by-step explanation:
Since the pint is reflected over the y-axis, its y-coordinate remains the same.
Point (4, 5) has 4 as its x-coordinate. That is 4 units right of the y-axis. The reflection has -4 as its x-coordinate which is 4 units left of the y-axis.
Answer: (-4, 5)
i just need help with number 2, i don’t understand
Step-by-step explanation:
Assuming c = x, you would substitute 2{(5)^(5)} - 6,
5^5 = 25,
2(25) = 50,
50 - 6 = 44
Answer would be 44, but only if c = x
if 18 out of 40 snacks are sweet how many sweet snacks will there be per 100 snacks
Answer:
45 sweet snacks
Step-by-step explanation:
100/40 = 2.5 time more (how many more snacks total)
18 x 2.5 = 45
Answer:
45
Step-by-step explanation:
18 out of 40 is 45%
45% of 100 is 45
These spam comments are getting out of hand. They’re everywhere and it’s really annoying having to post another question because of those spam comments. Like who’s behind all of this? And for what reason are they doing this?
Answer:
I agree it's annoying!!!
Step-by-step explanation:
I think the people who just spam questions are just lazy and they have nothing else to do with their lives. So they try to make themselves feel better by annoying other people. I hope you are having a good day other than people spamming questions!
solve for x
r=xy
(Show solving steps please)
Answer:
x=r/y
Step-by-step explanation:
xy together means they are multiplying.
to move y over you do the opposite which is divide by Y on both sides
r/y = xy/y
that way x is next to 1, which we don't have to write
r/y=x
please explain btw it’s telling me to find the equation not the sum
Answer:
21+v=52
Step-by-step explanation:
Sum means the result of two numbers added together
(-4, 12) and (-7, -3)
Answer:
The slope is 5/1 or 5
Step-by-step explanation:
Hope this helps!
What is the measure of angle 1? Put the number only.
Answer:
angle 1 = 120 degree
Step-by-step explanation:
75 degree + 45 degree = angle 1 (sum of two opposite interior angles is equal to the exterior angle formed)
120 degree = angle 1
Answer:
120
Step-by-step explanation:
75 + 45 = 120
The triangle adds up to 180.
180 - 120 = 60
Therefore the inside of the triangle is 75, 45, and now 60 which all adds up to 180.
--
Now to find Angle 1.
180 - 60 = 120
With Angle 1 being 120
Plsss help me blah blah blah I need 20 characters blah blah
Answer:
A only
Step-by-step explanation:
I knew a good trick to where if all the digits in your number add up to a multiple of 3, the original number is divisible by 3.
5 + 0 + 9 + 9 + 4 = 27
8 + 8 + 0 + 0 + 7 = 23
4 + 1 + 9 + 5 + 7 = 26
6 + 5 + 8 + 3 + 6 = 28
1 + 9 + 7 + 9 + 9 = 35
1 + 9 + 1 + 2 + 1 = 14
The only number divisible by 3 is 50,994
help plz its for 20 points.
Answer: 1st page
multiply divide
1)27 4
2)32 6
3)42 8
4)36 8
5)45 5
6)56 4
7)28 4
8)45 5
9)56 4
10)72 6
11)64 7
12)54 6
13)48 8
14)42 8
15)63 8
16)28 7
17)48 8
18)42 9
19)49 7
20)64 5
Step-by-step explanation: used a calculator
Which of the following best describes the slope of the line below?
O A. Zero
B. Negative
C. Positive
D Undefined
If you look at the graph, you will realize that it is highest to the left and lowest to the right and that as x increases, the y decreases, and when x decreases, y increases. Thus it has a NEGATIVE slope.
Which graph represents the function h(x) = |x| + 0.5?
Answer:
Step-by-step explanation:
Answer: its graph C!, I got it right
Need help with math:/!!!!
MN is 6 units. Find the lengths of NZ and XZ.
For the image see if you have enough info to find the missing lengths. If not, explain why.
Answer:
Step-by-step explanation:
[tex]\frac{3 +NZ}{3}[/tex] = [tex]\frac{5+5}{5}[/tex] ⇒ NZ = 3
XZ = 6 × 2 = 12
The length of NZ = 3 units.
The length of XZ = 12 units
Triangle Proportionality TheoremWhat is Triangle Proportionality Theorem?A line that runs perpendicular to one side of a triangle and crosses the other two sides equally splits the two sides.
Use of Triangle Proportionality Theorem to find the sides:Step 1: Consider side NY, NZ, YM, MX
By the theorem,
[tex]\frac{YN}{NZ}=\frac{YM}{MX}[/tex]
[tex]\frac{3}{NZ}=\frac{5}{5}[/tex]
[tex]NZ=3[/tex] units
Step 2: Consider sides YM, YX, NM, ZX
[tex]\frac{YM}{YX} =\frac{NM}{ZX}[/tex]
[tex]\frac{5}{10} =\frac{6}{ZX}[/tex]
[tex]ZX = 12[/tex] units.
Therefore, the values for the sides are NZ = 3 units and XZ = 12 units.
To know more about more about similar triangles, here
https://brainly.com/question/21874653
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giúp mìn vs mngggggg
Answer:
136.99
Step-by-step explanation:
Đây là một câu hỏi dễ chỉ cần sử dụng máy tính
8. 8(x) = 2x² + 10x; 8(-4)
Answer:
x = {5.701562119, -0.701562119}
find 0.025×1.24 . express your answer in decimal form
Answer:
0.025
Step-by-step explanation:
Divide the percentage by 100 to convert it to decmals.
for example 20%=
20
100
=.2
30%=
30
100
=
.3
2.5%=
2.5
100
=
.025
ur welcome
Answer:0.03100
Step-by-step explanation:
i need answer for this problem
Answer:
(Reflect across the line y = x then reflect across the y axis then translate 2 units in left and 5 units
down) that's the answer
Step-by-step explanation:
Hope it helps
Write the mixed number as an improper fraction. 7 2/7
Plz hurry
18. A shipwreck is 300 meters away from a diving station. An undersea
explorer travels away from the station at a speed of 2 meters per second.
The explorer is x meters away from the station and will reach the
shipwreck in 100 seconds. What is the value of x?
Answer:
me too jaja
Step-by-step explanation:
The value of x is 100 meters if the shipwreck is 300 meters away from a diving station. An undersea explorer travels away from the station at a speed of 2 meters per second.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
A shipwreck is 300 meters away from a diving station.
An undersea explorer travels away from the station at a speed of 2 meters per second.
The explorer is x meters away from the station and will reach the
shipwreck in 100 seconds.
As we know,
Distance = time×speed
Distance = 100×2
Distance = 200 meterse
x = 300 - 200
x = 100 meters
Thus, the value of x is 100 meters if the shipwreck is 300 meters away from a diving station. An undersea explorer travels away from the station at a speed of 2 meters per second.
Learn more about the distance here:
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What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = 14 + 2(n – 1). The ninth term is what?
Please answer will give Brainliest if correct
Answer:
The ninth term is 30
Step-by-step explanation: