Answer:
[tex]\bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}[/tex]Step-by-step explanation:
x - y² = -1 ⇒ - y² = - x - 1 ⇒ y² = x + 1 {x≥-1}
4x² + 9y² = 72
4x² + 9(x + 1)² = 72
4x² + 9(x² + 2x + 1) = 72
4x² + 9x² + 18x + 9 - 72 = 0
13x² + 18x - 63 = 0 ⇒ a = 13, b = 18, c = -63
[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]
Jo has an appointment at 3pm. She has to travel 21 miles and will drive at an average speed of 30 mph. To arrive exactly on time, what time should she leave? Give your answer as a time on the 24-hour clock
Given that lines q and m are parallel and are cut by two
different transversal lines, j and k, use angle relationships
to determine the measure of each numbered angle:
angle 1 = 180-110 = 70 degrees (linnear pair)
angle 2= 180-115 = 65 degrees (linnear pair)
angle 3 = angle 2 = 65 degrees (corresponding angles)
angle 4= 180 - angle 3 = 180-65 = 115 degrees (linnear pair)
(your teacher might not like this, depends on the cituation, but use 180 degrees in triangle to get 7)
angle 7 = 180 -angle1 -angle 2= 180-70-65= 45 degrees
angle 6 = angle 7 = 45 degrees ( vertical angles)
angle 8= 180- angle 7= 180-45 = 135 ( linnear pair)
angle 9 =angle 6 = 45 degrees (corresponding angles)
angle 5=angle 9=45 degrees (vertical angles)
After the math contest, Basil noticed that there were four extra-
large pizzas that were left untouched. In addition, another three
slices of pizza were uneaten. If there were a total of 51 slices of
pizza left, how many slices does an extra-large pizza have?
MATH
CONTEST
3:30
RM
105
EX PIZZA
EX.16. DIZZA
XG. PIZZA
X LG PIZZA
14
12.
15
Answer:
correct answer = 12
Step-by-step explanation:
the extra large pizza contains = 12 slices of pizza.
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you ☺️
Answer:
An extra large pizza has 12 slices
what is the difference of 20 and 3
Answer:17
Step-by-step explanation:
20-3=17
Can someone help?
Need to find x, and measure of angle DEF
Answer:
x = 5
[tex] m\angle DEF = 90\degree [/tex]
Step-by-step explanation:
GE is the angle bisector of quadrilateral DEFG,
Thus, by angle bisector property:
9x°= (5x + 20)°
9x = 5x + 20
9x - 5x = 20
4x = 20
x = 20/4
x = 5
[tex] m\angle DEF = 9x\degree + (5x+20)\degree [/tex]
[tex] m\angle DEF = (14x+20)\degree [/tex]
[tex] m\angle DEF = (14\times 5+20)\degree [/tex]
[tex] m\angle DEF = (70+20)\degree [/tex]
[tex] m\angle DEF = 90\degree [/tex]
The ratio of plates to cups is 10:14. If
there are 7 cups, how many plates
are there?
Answer:
Step-by-step explanation:
p:c=10:14
p/c=10/14
p/7=10/14
p=7(10)/14
p=5
Answer:
5 plates
Step-by-step explanation:
First, make two fraction bars, one with the ratio 10/14 the other with the top blank and 7 on the bottom. Next, find how much to multiply 7 by to get 14. Use the number you get to divide 10 by. Then you should get 5. Hope this helped!
Please help if you want BRIANLIST PLEASE!!!
Answer:
there are 4 times larger
Step-by-step explanation: 11 x 4 = 44 so its 4 times larger
Does anybody know this ... dang ...
Answer: (6, -6)
Step-by-step explanation:
so midpoint =([tex]\frac{X1+X2}{2}[/tex],[tex]\frac{Y1+Y2}{2}[/tex])
for x co ordinate
[tex]\frac{-2+X2}{2}[/tex]=2
-2+X=4 (X2=x co ordinate point for b, can be written as just x now)
X=6
x co ordinate of B= 6
y co ordinates of y
[tex]\frac{-8+Y2}{2}[/tex]=-7
-8+Y=-14
Y=-6
co ordinates B (6,-6)
for proof/extra explanation (NOT necessary for working):
[tex]\frac{Y1+Y2}{2}[/tex]
=[tex]\frac{(-2)+6, (-8)+(-6)}{2}[/tex]
=[tex]\frac{4, -14}{2}[/tex]
=(2,-7)
which is the midpoint M
Pls help and show your work
Answer:
21. Vol. = L ^ 3
or, 27000 = L ^ 3
or, cube root undefr 27000 = L
Therefore, Edge length = 30 cm
22.
a. v = l ^ 3
or, 64000 = l ^ 3
or, cube root under 64000 = L
or, l = 40 cm
Also,
surface area = 6 a ^ 2
= 6 * 40 ^ 2
= 6 * 1600
= 9600 cm ^ 2 #
Hope this helped
Hope this helped ALL THE BEST !!
You have several purchases you
need to make from the grocery store.
From the grocery store you need to purchase 1/2 Ib cheese, 2 lbs sliced ham,
2 loaves of bread, 3 bags of potato chips, and 2 containers of salsa. You have
a coupon for $3.00 off if your purchase totals more than $25.00 or 10% off if
the total is more than $30.00. The food sales tax is 4%. What is your total
purchase?
Item
Cost
Cheese
$3.99/lb
Sliced Ham
$4.29/lb
Bread
$2,49/ loaf
Potato Chips
$1.99/ea OR 2 for $3.00
Salsa
$2.79/ container
Be sure
to include in
your response:
The
steps you followed to complete your computations.
The choice you
made regarding which discount to use.
The total cost of your purchases.
Work out the volume of this cylinder,
Give your answer rounded to 1 DP.
5cm
14cm
Answer:
Ykjhcgighgy7vgygoohgvg
Answer:
1,099.6
Step-by-step explanation:
if the radius is 5 and height is 14
you do
V=(pi)r squared × height
Pleaseee answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! (It has to be two capital letters !!! )
Answer:
the answer is WU is congruent to UV
Explain 3 areas in everyday life when you use math.
WILL GIVE BRAINLIEST IMMEDIATELY!!! INSTANT BRAINLY!! PLS HELP
I ONLY NEED STATEMENT 7's REASON!!!
5. Consider the figure below.
Given: Parallelogram SUPN, SR ⊥ UN and MP ⊥ UN
Prove: ΔPMU ≅ ΔSRN
Complete the two-column proof below.
Answer:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex] 1. Given
and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]
2. ∠SRU = ∠PMN = 90° [tex]{}[/tex] 2. Definition of perpendicular lines
3. ∠SRU ≅ ∠PMN [tex]{}[/tex] 2. Definition of congruency
4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex] [tex]{}[/tex] 4. Opposite sides of a parallelogram are [tex]{}[/tex] congruent
5. ∠SNR ≅ ∠PUM [tex]{}[/tex] 5. Alternate interior angles are congruent
6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex] [tex]{}[/tex] 6. Opposite sides of a parallelogram are [tex]{}[/tex] congruent
7. ΔPMU ≅ ΔSRN [tex]{}[/tex] 7. By AAS rule of congruency
By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]) of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)
Step-by-step explanation:
White Kittens
Gray Kittens
Male
3
2.
Female
5
5
Find the ratio of white male and gray male kittens to white female and gray female kittens.
O 3: 2:5:5
O 5:7
05:10
03:5
2 3 4
02
5
5
7
8
9
1
https://weskids.schoology.com/common-assessment-delivery/start/4718034729?action=onresume&submissionid=4319101503
Type here to search
SI
Answer:
im pretty sure its 5:10
there are 5 male cats and 10 female cats
Step-by-step explanation:
الا
length of cello tape is lm 60cm
85 cm is used form it how
much is left on the roll
Answer:
75 m
Step-by-step explanation:
1m 60 cm = 160 cm
160cm-85cm= 75 cm
~ 75 cm of tape is left in the roll.
What is the radius and diameter of the following circle?
what is 6/2 as a decimal
Answer:
6.5
Step-by-step explanation:
Hope I helped!
This student solved a linear equation and showed all their work. What was their first step?
A: Distributive property
B: Combine like terms
C: Inverse operation
odpowiedź A aaaaaaaaaaaaaaaaa
2k+16=30 i need help with this before March 2nd ASAP
Answer:
k = 7
Step-by-step explanation:
The goal is to solve for the variable k in this problem.
To do this, we need to get k by itself!
2k + 16 = 30
Start by subtracting the 16 over from the left side to the right
2k + 16 - 16 = 30 - 16
Simplify by subtracting 16 from 16 on the left side (which is 0) and 16 from 30 on the right side (which is 14).
2k = 14
Then finish by dividing both sides by 2 to get k by itself.
[tex]\frac{2k}{2}[/tex] = [tex]\frac{14}{2}[/tex]
Simplify by dividing 2 by 2 on the left side (which is 1) and 14 by 2 on the right side (which is 7).
k = 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{2k + 16 = 30}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\mathbf{2k + 16 = 30}[/tex]
[tex]\huge\textbf{Subtract \boxed{\bf 16} to both sides:}[/tex]
[tex]\mathbf{2k + 16 - 16 = 30 - 16}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{3k = 30 - 16}[/tex]
[tex]\mathbf{2k = 14}[/tex]
[tex]\huge\textbf{Divide \boxed{\bf 2} to both sides:}[/tex]
[tex]\mathbf{\dfrac{2k}{2} = \dfrac{14}{2}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{x = \dfrac{14}{2}}[/tex]
[tex]\mathbf{x = 14\div2}[/tex]
[tex]\mathbf{x = 7}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{k = }\frak{\ 7}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Help me with this math assignment please ASAP
Answer:
5 I don't know if it's right but I am a trying
Please help, it would really make my day! I’ll give branliest if it’s correct! :-)
Evaluate 4a when a=7
The value is:
Answer:
28
Step-by-step explanation:
I’m sooo confused rn please help pleaseeeeeee
Answer:
i believe the answer is c
Step-by-step explanation:
i'm not entirely sure but i hope this helps :)
have a nice day !!
**please let me know if this was wrong**
Answer:
B & C
Step-by-step explanation:
you have to solve for x in both a negative and positive way
Slope Please help!!!!!
Answer:
2/3
Step-by-step explanation:
2/3
Step-by-step explanation:
Very Simple
Take 2 points
x,y
x1,y1= 3,2
x2,y2=6,4
Find the slope
Y2-Y1/X2-X1
4-2/6-3
2/3
HELP ME SOLVE HURRY I WILL MARK BRAINLIEST THANKS
Answer:
your y intercept is 90 and the equation would be y= 90 and x is unknown
Can someone help me?
FIND THE VALUE OF X
Answer: x = 29
Step-by-step explanation:
both angles are the same
so:
2x = 3x-29
2x - 3x = -29
-x = -29
x = 29
what’s 5/6 of 43km 44m?
Answer:
pretty sure it's 35.87 kilometers
Priyanka drives at 45km/h and reaches Delhi in 5 hours.What time will she take to complete the same journey if she increases her speed by 5km/h ?
Answer: Increasing her speed by 5km/h, she will take 4.5 hours to complete the journey.
Step-by-step explanation:
Step 1
Speed= Distance / TIme
Given Speed = 45km/h
and Time = 5 hours
Distance covered = Speed x Time
= 45 km/h x 5 hours
=225 kilometres.
Step 2
Increasing her speed by 5km/h makes the new Speed = 45 +5 = 50 km/h
At the same Distance of 225 km
Therefore she will complete the journey in
Time = Distance/ Speed
=225km/ 50km/h
=4.5 hours
A horizontal line includes the points (0, -2) and (3, -2). Find the slope of the line.
wil give BRAINLIEST
pls answer correctly
Answer:
We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:
[tex]m = 0[/tex]Step-by-step explanation:
Given that the line includes the points
(0, -2)(3, -2)We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
(x₁, y₁) = (0, -2)(x₂, y₂) = (3, -2)now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-2-\left(-2\right)}{3-0}[/tex]
[tex]m=\frac{-2+2}{3}[/tex]
[tex]m=\frac{0}{3}[/tex]
[tex]m = 0[/tex]
Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:
[tex]m = 0[/tex]Determine whether the following expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.
Expression: 7a2b+3b2
Polynomial? Answer
Degree? Answer
Terms? Answer
Name? Answer
leading coefficient:
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Equations.
[tex]7 {a}^{2}b + 3 {b}^{2} [/tex]
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3
Answer:
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3
Step-by-step explanation:
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3