Answer:
(- 3, 12 ) and (5, 28 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y - 2x = 18 → (2)
Substitute y = x² + 3 into (2)
x² + 3 - 2x = 18 ( subtract 18 from both sides )
x² - 2x - 15 = 0 ← in standard form
(x + 3)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 5 = 0 ⇒ x = 5
Substitute these values into (1) for corresponding values of y
x = - 3 : y = (- 3)² + 3 = 9 + 3 = 12 ⇒ (- 3, 12 )
x = 5 : y = 5² + 3 = 25 + 3 = 28 ⇒ (5, 28 )
PQR and SQR form a linear pair. Find the sum of their measures.
I have to write these equations in scientific notation:
870.4
32.508
0.8006
Answer:The solutions are in the attached file below
Step-by-step explanation:
Can someone Help me please
Step-by-step explanation:
what do you need to do ? draw the line ? or find some intercepts on the x- or y-axis ? or ?
in any case it is important to bring this into the typical line equation form :
y = ax + b
so,
-4x = -1 + y
we leave y alone on one side
y = -4x + 1
to draw the line you need 2 points.
so, let's find some.
one typical choice is x = 0.
then y = -4×0 + 1 = 1
so, P1 = (0, 1)
and then e.g. let's pick x = 1
then y = -4×1 + 1 = -4 + 1 = -3
so, P2 = (1, -3)
there you have it
mark the two points on the coordinate graph, then take a ruler and draw the line all the way from top left to bottom right so that it goes through the two points.
(3x+2)(x^2-4x-2) simplify the expression to a polynomial in standard form
(3x+2)(x²-4x-2)
(3x) (x²-4x-2) + (2) (x²-4x-2)
= 3x³ – 10x² – 14x – 4
I hope I helped you^_^
solve for A. W = a/3
PLEASEEEE
Answer:
3w
Step-by-step explanation:
[tex]w=\frac{a}{3} \\3w=a\\[/tex]
Two kids at a summer camp, Amelia and Jennifer, are competing in a potato sack race. Amelia is younger, so she is given a head start of 3 yards. When the race starts, Amelia hops at a rate of 3 yards per second, and Jennifer hops 4 yards per second. Eventually, Jennifer will overtake Amelia. How far will Jennifer have to hop? How long will that take?
HELP PLEAASSEE ?? ANYONE ???
The diagram shows 3 identical circles inside a rectangle.
Each circle touches the other two circles and the sides of a rectangle, as shown in the diagram.
The radius of each circle is 2 mm.
Work out the exact area of the rectangle. Give your answer in the form
[tex]a \sqrt{3} + b[/tex]
where a and b are integers.
Answer:
as the diagram is not provided by you
Step-by-step explanation:
proper an answer cannot be written if the three circles touch Each Other as well as the the sides of the rectangle it means that rectangles length and breadth are made by attaching to circles together which means that length and breadth of the rectangle are equal therefore length is equal to diameter of one circle into two that is 8 therefore length and breadth of the rectangle are 8 each other for exact area of rectangle is 8 x 8 = 64
Answer:
apparently 4root3 + 8
Step-by-step explanation:
Evaluate 2/11 + 1/17 + 2/3
Answer:
509/561
Alternate form is 0.9073
Step-by-step explanation:
The L.C.M is 561.
561/11 × 2 is 102.
561/17 × 1 is 33
561/3 ×2 is 374
102/561 + 33/561 + 374 /561
= 509/561
Alternate form is 0.9073
What is the value of the expression 5¼(-10.2)? Record your answer and be sure to use the correct place value.
The value of the given expression is - 53.55
[tex]5 \frac{1}{4}( - 10.2) \\ [/tex]
The bracket implies multiplication :
Hence,
[tex]5 \frac{1}{4}( - 10.2) \\ [/tex] = [tex]5 \frac{1}{4}\times - 10.2
Converting the fraction to improper :
[tex] \frac{21}{4} \times - 10.2[/tex]
Then, to decimal :
[tex]5.25 \times - 10.2 = - 53.55[/tex]
Hence, the value of the expression is - 53.55
Learn more : https://brainly.com/question/5992872
Can anyone explain how to do this pleaseee
-2+y/10=-6
Answer:
y = -58
Step-by-step explanation:
You have to isolate the y:
-2+y/10 = -6
First step, multiply both sides by 10:
-2+y = -60
Second step, add 2 on both sides:
y = -58
It's done!
Answer:
-2=-40/10=-6
Step-by-step explanation:
-2/10 alone is -0.2.
Using PEMDAS your problem should look more like, (-2)+((y)÷10)=
Using this new formula let's start plugging in numbers.
(-2)+((0)÷10)= -2
(-2)+((-1)÷10)= -2.1
(-2)+((-2)÷10)= -2.2
Now there is a pattern, you can calculate or just keep moving up the latter until you reach the desired sum.
After finding the plug-in use PEMDAS to solve.
(-2)+((-40)÷10)=
((-40)÷10)= -4
-4+-2=-6.
So (-2)+((-40)÷10)= -6
PLEASE HELPP MEEE I NEED THE ANDWER QUICKKK
20.00$ - a=8.45$
Answer:
a= 11.55
Step-by-step explanation:
If the answer is 8.45, then the variable equals the difference of 20 minus the answer, 8.45
Hope this helps!
help I will give brainly!!!!!!!!
Slope=-7, through (-3,2)
Answer:
Final equation: y = -7x -19
Step-by-step explanation:
You are looking for slope intercept correct?
Formula: y = mx + B
Y = y-value of point ( coordinates )
M = slope
X = x - value of point ( coordinates )
B = Y - intercept
Equation:
2 = -7(-3) + B
2 = 21 + B
-21 = -21 = B
------------------
-19 = B
Final equation: y = -7x -19
Unless if it asks you to plug back the numbers for anything else then you do that but this is how you get slope intercept.
If a = 6 and b = 2, then what does ab equal?
Answer:
12
Step-by-step explanation:
ab
Let a = 6 and b = 2
6*2
12
Does a rhombus have perpendicular line segments
Answer:
A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:
Its diagonals divide the figure into 4 congruent triangles.
Its diagonals are perpendicular bisectors of eachother.
If all of a rhombus' angles are right angles, then the rhombus is a square.
Answer:yes it does have perpendicular lines
Step-by-step explanation:
Is the graph a linear function, nonlinear function, or relation?
Answer:
Non-linear
Step-by-step explanation:
just did it
Answer:
Nonlinear function
Step-by-step explanation:
Because it's along the x-axis but isn't a straight line if it was a straight line it would be considered a "Linear Function".
help!!! hurry......-_-
Replace x and y’all with the point and solve the equations
1. 2(0.5)+ 4(-6.75) = 1 + -27 = -26
This is true so is an answer.
2. Y = 0.5-7.5 = -7, -7 is not -6.75 so this is not true.
3. 2(-6.75) = 0.5 + 13
13.5 = 13.5
This is true so is also an answer.
4. -6.75 = 0.5(0.5) -7
-6.75 = 0.25-7
This is true so also an answer.
Answers are 1, 3 and 4
Answer:
Equation 1 and 4
Step-by-step explanation:
Point = (x,y) = (0.5,-6.75)
Hence,
x = 0.5 , y = -6.75
Equation 1:
2(0.5) + 4(-6.75) = -26
1 - 27 = -26
-26 = -26
This equation is true for the given point.
Equation 2:
-6.75 = 0.5 - 7.5
-6.75 ≠ -7
The equation is not true for the given point.
Equation 3:
2 (-6.75) = 0.5 + 13
-13.5 ≠ 13.5
The equation is not true for the given point.
Equation 4:
-6.75 = 0.5(0.5) - 7
-6.75 = 0.25 - 7
-6.75 = -6.75
This equation is true for the given point.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!d/3 =13 what is d and explain why its d.
Answer: d = 39
Solve:
Given
d / 3 = 13
In order to get the value of d, we need to isolate d, which means we should multiply 3 on both sides to delete the 3 on the left-hand side
d / 3 × 3 = 13 × 3
d = 39
Check:
Left-hand side = d / 3 = 39 / 3 = 13
Right-hand side = 13
13 = 13
Hope this helps!! :)
Please let me know if you have any questions
Answer:
39
Step-by-step explanation
so d ÷ 3 = 13
first we want to change these numbers into a fraction so
d ÷ 3 = [tex]\frac{d}3}[/tex]
13 is whole but we can still display it as 13÷1 =[tex]\frac{13}{1}[/tex]
line these up like this
[tex]\frac{d}{3} \frac{13}{1}[/tex]
now cross multiply the numbers that always line up diagonally so 13 and 3
13x3=39
next divide that answer by the number diagonal to the unknwon so 39÷1 = 39
that means d = 39
Josh sees that the ratio of boys to girls is 1/2, so he says that half of the students are boys?
Answer:
no.
Step-by-step explanation:
The ratio is 1/2. That means that if there is one boy, there are 2 girls. Altogether, there are 3 people.
The answer is no. Boys would be one-third and girls are two-thirds.
If this helped, please mark me as brainliest. Thank you! ;)
A right triangle has leg lengths of 6 cm and 9 cm,
find length of the missing side.
help please :)
Answer:
3*sqrt13
Step-by-step explanation:
You search for hypotenuse
Squared hypotenusw is equal to 6^2+9^2= 36+81=117
Hypotenuse is equal to sqrt117= sqrt9*sqrt13= 3*sqrt13
i dont know if im right or not
Answer:
You are right
Step-by-step explanation:
80% of a number is always going to be less than 100% of a number. Assuming the numbers positive, which it said
Answer: its >
Step-by-step explanation: beacuse80% x .01 =0.008 and 0.008= 0.8%
Please no links because they dont work :).
Answer:
C. x + 9
Step-by-step explanation:
[tex]x-\frac{5}{5}+10\\\\x-1+10\\\\x+9[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPP
(jus take the points dont really need help)
Answer:
Alright- if you want any help just reply to this
The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?
Answer: 2 degrees + 3 degrees = 5 degrees
Step-by-step explanation: Though the times might be confusing, the problem itself is simple addition- if the temperature rises, or goes up, by a certain number, in this case three, you're just going to add that number to the initial number, two.
hey please help i’ll give brain
Answer:
The answer is 2. It is the commutative property of addition. This states that the order of numbers does not matter in addition or multiplication. As long as all the numbers are there, it will give the same answer :)
Step-by-step explanation:
Write the rules for determining the sign of the product when multiplying integers. Then, write (4 points)
the rules for determining the sign of the quotient when dividing integers. Use your own words
and use complete sentences. Make sure you answer both questions presented in this problem.
I
Answer:
hahaaaaaaaaaaaaaaaaa
Step-by-step explanation:
Answer:
IF the signs ARE same the result is a POSITIVE, if the signs are NOT the same the result is NEGATIVE
Step-by-step explanation:
Find the possible subsets of A = {a,b}
Answer:
Step-by-step explanation:
Subset of A = { {} , {a} , {b}, {a.b} }
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
Answer:
AB=1
Step-by-step explanation:
Colinear means all points are on the same line. We need to find the measure of AB.
Using the segment addition postulate,
ab+bc=ac
Subsitue this for our known values
[tex]2x + 15 + 9 = x + 17[/tex]
Solve for x
[tex]2x + 24 = x + 17[/tex]
[tex]x + 24 = 17[/tex]
[tex]x = - 7[/tex]
Plug this in for AB
[tex]2( - 7) + 15 = 1[/tex]
1. Which of the following is a true statement?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number whose
square root is an even number.
SHOW PROOF
Answer:
C
Step-by-step explanation:
Squaring is multiplying a number by itself
Examples:
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
etc.
A 3m ribbon is cut into two pieces.The shorter length measures 0.75m.Write the ratio of the shorter length to the longer length in the simplest form a:b,where a and b are both integers.
Answer:
1:3
Step-by-step explanation:
3 m - .75 m = 2.25 m Find the length of the longer piece.
.75:2.25 Ratio in un-simplified form
[tex]\frac{.75}{2.25}[/tex] Write it as a fraction.
[tex]\frac{75}{225}[/tex] Multiply the numerator and denominator by 100 to remove the decimal.
[tex]\frac{3}{9}[/tex] Divide the numerator and denominator by 25.
[tex]\frac{1}{3}[/tex] Simplify further by dividing the numerator and denominator by 3.
1:3 Convert back to ratio form.