Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or
2x+y=5
2(1/2)+4=5
1+4=5
5=5
Write an equation for the line in slope-intercept
form.
Answer:
y = 2x + 3
Step-by-step explanation:
Find the product of (2a+b)^2
Answer:
(2a+b)^2
4a^2 + 4ab + b^2
product=4
Answer:
4a²+b²+4abStep-by-step explanation:(2a+b)²=(2a)²+(b)²+2×2a×b(a+b)²=a²+b²+2abanswer:- 4a²+b²+4abhelp pleaseeee i dont get this also show work
Answer:
AC = 2
BC = [tex]2\sqrt{2}[/tex]
CD = 4
CF = 4
BD = [tex]2\sqrt{2}[/tex]
DE = 8
EF = [tex]4\sqrt{2}[/tex]
DF = [tex]4\sqrt{2}[/tex]
Step-by-step explanation:
Since all of these are isosceles triangles, it means both legs of every triangle are congruent to each other. So,
Given: AB = 2
Find:
AC = AB = 2
BC = [tex]2\sqrt{2}[/tex]
CD = 4
CF = CD = 4
BD = BC = [tex]2\sqrt{2}[/tex]
DE = 8
EF = [tex]4\sqrt{2}[/tex]
DF = EF = [tex]4\sqrt{2}[/tex]
Help plzz need the answer and that explanation plz don't send a file I need help with question 21!! thx so much
Answer:
No, they cannot be becuase the points are too different- no same numerical
values.
Step-by-step explanation:
1. A signal tower has two lights that are 30 feet apart from each other, one directly above the other. From
a boat, the angle of elevation of the lower light is 14 degrees, and the angle of elevation yo the upper
light is measured to be 32 degrees.
a) Find to the nearest foot the distance from the boat to the lower light.
b) The boat and the foot of the tower are in the same horizontal plane. Find to the nearest foot the
distance from the boat to the foot of the tower.
Solution :
It is given that the distance between the two lights is 30 feet.
The angle of elevation of the upper light from the boat, ∠ ABP = 32 degree
The angle of elevation of the lower light from the boat, ∠ ABQ = 14 degree
∴ ∠ PBQ = ∠ ABP - ∠ ABQ
= 32 - 14
= 18 degree
In triangle PAB
∠ PAB = 180 - (90 + 32)
= 58 degree
Similarly in triangle AQB
∠ AQB = 180 - (90 + 14)
= 76 degree
Now considering triangle PBQ and applying the sine theorem,
[tex]$\frac{PQ}{\sin 18}=\frac{BQ}{\sin 58}$[/tex]
we know PQ = 30 feet
∴ [tex]$BQ =\frac{\sin 58}{\sin 18} \times 30$[/tex]
= 82.33 feet
Again taking the right triangle ABQ and applying sine theorem,
[tex]$\frac{BQ}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
[tex]$\frac{82.33}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
∴ [tex]$AB = 82.33 \times \sin 76$[/tex]
= 79.88 ft
= 80 feet
The sum of the age of mother and daughter is 66 years.Mothers age is 5 times of daughters age.What is the age of daughter??
Answer:
I think it might be 13 or 14 I'm not completely sure though.
Step-by-step explanation:
Enoch is two times as old as MARTIN.three years ago,the difference between their ages was fifteen years.find their present ages
9514 1404 393
Answer:
Enoch is 30Martin is 15Step-by-step explanation:
The difference in ages remains the same over time. Enoch, at twice Martin's age, is still 15 years older. That means Martin is 15 and Enoch is 30.
What is an equation of the line that passes through the points (-1,3) and
(-1, 6)?
Please no links:)
Answer:
x = -1
Step-by-step explanation:
Slope = (6-3)/(-1- (-1)
= 3 / 0
- so the line is vertical.
- and as it passes through x axis at x = -1, the answer is x = -1.
SECTION C
11. UNE PISCINE
L'opération consistant à vider une piscine débute à 8 h du matin. À 10 h du matin, la
piscine contient 80 000 litres d'eau et à midi elle contient 64 000 litres.
Si la piscine se vide à un débit constant, à quelle heure la piscine sera-t-elle vide?
PLZ HELPLPLPLPLP!!!!
Answer:
c) 50
Step-by-step explanation:
√36 + 2 * 5^2 - 6
√36 = 6, 5^2 = 25
6 + 2 * 25 - 6 = 25 2 * 25 = 50, 6 + 50 - 6, 50
Solve the system by substitution.
x = 9y
x-5y=20
Step-by-step explanation:
hope this helps you! have a great day
The solutions of the system of equations are x = 45 and y = 5.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
The system of equations,
x = 9y .... (1)
x-5y=20 ......(2)
Substituting the value of x from the equation 1 to equation 2,
we get,
9y - 5y = 20
4y = 20
y = 5
Then, x = 5(9) = 45
Therefore, the solutions of the equations are x = 45 and y = 5
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ2
How many right angles are there in an angle that turns through 360º?
4 right angles
90 + 90 + 90 + 90 = 360
However, it that figure is a circle-- it may include 0 right angles since circles have no angles.
1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet
Answer:
Slant height = 8 feet.
Step-by-step explanation:
If the perimeter of the square base = 12 then each side of the base = 12/4
= 3 feet and its area = 3*3 = 9 ft^2
The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.
So total surface area = 57 = 9 + 4 * 1.5h
9 + 6h = 57
6h = 48
h = 8 feet.
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answer:
5/12
Step-by-step explanation:
Think SohCahToa
Soh- Sin: opposite/hypotenuse
Cah- CoSin: adjacent/hypotenuse
Toa- Tan: opposite/adjacent
Opposite: The length on the opposite side of the angle.
Adjacent: The length next to the angle.
Hypotenuse: The longest side of the angle.
Determine the value of a so that the following system has no solution.
ax+5y=10
6x+2y=7
HURRY PLSSSS
Answer:
z
Step-by-step explanation:
HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
Oliver has created a plot of his backyard on the given coordinate plane, so that each unit length is one yard. He wants to design a right triangular plant bed for his backyard that has an area of eight square yards. After placing one vertex of the base of the plant bed at (3, 8) and one vertex at (7, 8) on his coordinate plane, he has to determine where to place the last vertex. Locate the possible locations of the last vertex on the coordinate plane.
Answer:
The possible locations are;
(3, 4), (3, 12), (7, 4), and (7, 12)
Please find attached the plot of the points created with Microsoft Excel
Step-by-step explanation:
The given parameters of the plot of Oliver's backyard are;
The area of the right triangular plant bed Oliver wants to design, A = 8 yd²
The length of a/each unit of the plot = 1 yard
The location of one of the vertex of the right triangular area = (3, 8)
The location of the other vertex of the right triangular area = (7, 8)
We note that the area of a triangle, A = 1/2 × Base length, B × Height, h
Let the distance between the two plotted point represent the base length, 'B', therefore;
B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;
Therefore, the base length, B = 4 yards
A = 1/2 × B × h
∴ A = 8 yd.² = 1/2 × 4 yd. × h
h = 8 yd.²/ 2 yd. = 4 yd.
The height of the right triangle, h = 4 yd.
Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;
(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).
Answer:
3,4 7,4
Step-by-step explanation:
The cost of a reclining chair is $389, and the selling price is $599. Find the amount of markup
Answer:
53.9 just do the math
Answer:
$210
Step-by-step explanation:
$389+$10=$399
$399+$200=$599
There is your answer
Can someone help me?
who ever answer this get a brainliest and a thank you i need it answered asap
Answer:
a = 9
Step-by-step explanation:
For solve the problem we can use the Pythagorean theorem in this way
a^2 + (3√3)^2 = (6√3)^2
If we solve the equation we have
a^2 + 27 = 108
a^2 = 81
a = +/-9
we take only the the positive value because a length can’t be negative
a = 9
pls help with this !!
Answer:
25.12 so the nearest 10 is 25.10
What would this answer be if i solved for x?
SOLVE FOR X
x + 67
x + 127
Answer:
X+67=0
X=-67
X+127=0
X=-127
Step-by-step explanation:
I want its solution and the unit is about algebraic fraction.
Answer:
3x²/(3x - 9y)
This should be the simplest form.
Step-by-step explanation:
Combine the fractions:
(5x² - 2x²)/((6x - 6y) - (3y - 3x))
Combine like terms:
3x²/(6x - 3x - 6y - 3y)
Solve.
3x²/(3x - 9y)
Answer:
9x^2
======
6(x - y)
Step-by-step explanation:
Begin by switching the - to a plus. Switch the x and y in the second denominator.
5x^2 2x^2
===== + ======
6x - 6y 3x - 3y
Pull out the common factors in both denominators. Use the distributive property.
5x^2 2x^2
===== + ======
6(x - y) 3(x - y)
Multiply both the numerator and denominator by 2 on the left had fraction.
5x^2 2*2x^2
===== + ======
6(x - y) 2*3(x - y)
5x^2 4x^2
===== + ======
6(x - y) 6(x - y)
Put both numerators over a common denominator. Notice that the + sign shifts up. It shifts up because both fractions have been changed to a common denominator.
5x^2 + 4x^2
===================
6(x - y)
Combine the two numerators since they are of the same power.
9x^2
======
6(x - y)
Ben enters the water during a scuba dive. After 41 seconds of diving, his depth changes by - 29 feet. He wants to know his average change in depth each second. Write an expression for the average change in depth each second.
Answer:
-0.7073ft/sec
Step-by-step explanation:
Given the following
Distance covered by Ben = -29feet
Time taken = 41secs
Required
average change in depth each second(speed)
average change in depth each second = Distance/Time
average change in depth each second = -29/41
average change in depth each second = -0.7073ft/sec
Answer:
The answer is -29 divided by 41
Fill in the blank with a number to make the expression a perfect square x^2+ 4x + ?
Explаnаtion is in а file
xlnk․cf/tcMG
Answer:
x^2+4x+4 would make it a perfect square.
Step-by-step explanation:
help I literally got a 4/10 in my math test and my mom is like REALLLLY mad that she took my phone so I’m using my sisters ipad and she gave me advice on this app so i don’t even know if this could help but this is the page I need to complete/it’s for term 2 (week2) basically on my test well it’s apart of it so pls help- ~btw don’t look at the top cause I already completed it, I just need the 2 and 3 helppppp ima die ANDDD I used all the points I think that’s what it’s called~
Answer:
3/8 < 2/4
2/3 > 7/12
i could be wrong sorry
It should look like this:
If side 1 is 13, side 2 is 12, and side 3 is 18, can a triangle be made?
Answer:
no
Step-by-step explanation:
Find the surface area of each pyramid round to the nearest tenth if necessary
Answer:
145.9
Step-by-step explanation:
Answer: 145.9 is your answer!
Step-by-step explanation:
give the person above me Brainliest~! ✪ ω ✪
Have a great rest of your day~ ヾ(•ω•`)/
is the Square root of 18 divided by 3 a rational or irrational number? explain using full sentences
Answer:
irrational
Step-by-step explanation:
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9}[/tex] · [tex]\sqrt{2}[/tex] which is the same as 3[tex]\sqrt{2}[/tex]
3[tex]\sqrt{2}[/tex] divided by 3 equals [tex]\sqrt{2}[/tex], which is irrational
Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which angles represent alternate interior angles
Answer:
Angles B and D
Step-by-step explanation:
Since Lines D E and Line A B are parallel hence
The angles that will represent alternate interior angles will be
Angles B and D
This is because when two parallel lines are cut through by a transversal, the corresponding angles are congruent .
Answer:
B
Step-by-step explanation: