Answer:
(x, y) = (-1, 0)
Step-by-step explanation:
Here:
1. -x + y = 1
2. 2x + y = -2
so just temporarily....
multiply #1 by 2
and
multiply #2 by 2
1. -2x + 2y = 2
2. 4x + 2y = -4 then subtract top from bottom.
-6x + 0 = 6
-6x = 6
x = -1
Then implement x = -1 into the original state of #2
2. 2(-1) + y = -2
-2 + y = -2
y = -2 + 2
y = 0
(x, y) = (-1, 0)
WooHoo! pls brainliest ;) !
Melanie’s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?
Answer:52 miles per hour
Step-by-step explanation:
is this a function or not?
Answer: yes
Step-by-step explanation:
The x value does not repeat itself
Round 18,626,291 to the nearest million.
if C (-6,4) is rotated 180 degrees around the origin, the image point C’ would be ?
Answer:
6,4
Step-by-step explanation:
Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.
Answer:
The first number: 14
The second number: 16
The third number: 18
Step-by-step explanation:
Equations
Let's assume:
x=the first even number.
x+2=the second even number
x+4=the third even number
The sum of all three is: x + x + 2 + x + 4
The condition states the sum decreased by 34 equals the first number:
x + x + 2 + x + 4 - 34 = x
Moving all the variables to the left side and the numbers to the right side:
x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4
Simplifying:
2x = 28
Solving:
x = 28 / 2 = 14
The first number: 14
The second number: 16
The third number: 18
help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5
18 mins / 2.5 miles = 7.2 mins / mile
Calculate the distances from the origin to points A(11, –2, –6) and B(–3, 7, –5). Round to the nearest tenth. The distance from the origin to point A is units. The distance from the origin to point B is units. Now determine how much farther from the origin point A is than point B. Round to the nearest tenth. Point A is units farther from the origin than point B.
Answer:
Step-by-step explanation:
A(11, –2, –6) and B(–3, 7, –5) are located away from the origin (0,0,0), the points from the origin to this points is expressed as OB - OA where;
OB is the distance from the origin to the point B
OA is the distance from the origin to the point A
Using the formula for calculating distance between two points
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(-6-0)²+(-2-0)²+(11-0)²
OA = √(-6)²+(-2)²+(11)²
OA = √36+4+121
OA = √161
OA = 12.688
Similarly;
OB = √(-5-0)²+(7-0)²+(-3-0)²
OA = √(-5)²+(7)²+(-3)²
OA = √25+49+9
OA = √83
OA = 9.110
Distance from the origin to the points = 12.688 - 9.110 = 3.577
Distance from the origin to the points ≈ 3.6 (to the nearest tenth)
Answer:
The distance from the origin to point A is 12.7 units.
The distance from the origin to point B is 9.1 units.
Point A is 3.6 units farther from the origin than point B.
In the diagram below
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
f(x)=x^2+6x+7
g(x)=x+2
find g(f(x))
Answer:
g(x2+6x+7)=x2+6x+9
Step-by-step explanation:
Evaluate g(f(x)) by substituting in the value of f into g
g(2x)=6(2x)−7
Multiply 2 by 6
g(2x)=12x−7
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
Albert's mom has 2,523 reward points from shopping at an online store. She uses the points to buy gift cards for free cups of coffee. Each gift card costs 75 points. What is the greatest number of gift cards Albert's mom can buy? How many reward points will she have left? Use the drop-down menus to choose the numbers that make the statement true.
Answer:
Maximum number of gift cards she can purchase = 33
Reward points left with her = 48
Step-by-step explanation:
Let Albert's mom buys the number of gift cards = x
Points for each gift card = 75
Total points consumed to buy x gift cards = 75x
If total points with Albert's mom = 2523
So the remaining points with her = (2523 - 75x)
Inequality representing the remaining points will be,
(2523 - 75x) ≥ 0
75x ≤ 2523
x ≤ [tex]\frac{2523}{75}[/tex]
x ≤ 33.64
Maximum number of cards she can buy = 33
Therefore, reward points with her = 2523 - (75 × 33)
= 2523 - 2475
= 48
Anyone wanna help?please
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given to points to us are :-
( 3 , -6 )( -1 , -8 )( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
[tex]\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]
Here ,
x1 = 3 .x2 = -1.y1 = (-6)y2 = (-8).→ Substituting the respective values ,
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
Hence the distance between two points is 4√5u.
Pls answer and show WORK pls do it right
Answer:
4/6
Step-by-step explanation:
1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!
Twelve Divided by the sum of a number and five
Solve the equation for y: -8x + 4y = 20
A)
y-2x5
B)
y = 2x + 5
y = 2x+5
1/3x + 20
D)
y =
Answer:
y=2x+5
Step-by-step explanation:
the scale on a map is 1:500000
two towns are 7cm apart on the map
what is the actual distance between the towns in kilometers ?
Answer:
35km
Step-by-step explanation:
1:500000
7:?
(cross multiply)
=3500000cm
1km=100000cm
3500000cm
3500000cm×1km
100000cm
=35km
4. Write an equation for the table in slope intercept form
Answer:
y=1.6x-5
Step-by-step explanation:
A= LWH for L
L=
What’s the answer
Answer:
A ÷ (WH)
Step-by-step explanation:
7:x=2:3
What is the answer can not find out
Answer:
10.5 = x
Step-by-step explanation:
7:x = 2:3
can be rewritten as
7/x = 2/3
because, a proportion is the same as a fraction, which is the same as division
so now use cross products to solve the equations
7/x = 2/3
7 * 3 = 2 * x
simplify
21 = 2x
inverse operations
21 = 2x
/2 /2
10.5 = x
WILL MARK YOU BRAINLIEST!!!!!!
Answer:
y = 136
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle, thus
y = 82 + 54 = 136
Seven times the difference of triple a number and three
Answer:
21x- 21
Step-by-step explanation:
7 × (x × 3 - 3)
7 × (3x - 3)
21x - 21
I'm not sure if the answer is correct
i need more help
ill give brainiest to first person to answer
20 POINTS!!!! Help please
Answer:its c
Step-by-step explanation:
Anthony received $150 for his birthday this year. This was $10 less than
half the amount he received last year. How much money did Anthony
receive for his birthday last year? write the equation and answer
Answer:
$140
Step-by-step explanation:
150-10=140
$140
HOPEFULLY IM RIGHT!!
Have A Nice Day!!!!
:)))
what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?
Answer:
x²+x+12 = 0
Step-by-step explanation:
Area if the wooden frame = ,Length ×Width
A = LW
If the length of wooden frame is 1foot longer than it's width, then;
L = W+1
Given
A = 12ft²
Substitute the derived and given parameters into the formula to have;
P = (W+1)W
12 = (W+1)W
Open the parentheses
12 = W²+W
Subtract 12 from both sides
12-12 = W²+W -12
0 = W²+W-12
Rearrange
W²+W-12 = 0
If W = x
The quadratic equation becomes:
x²+x+12 = 0
I need help plz and plz explain why plz
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
What is the prime factorization of 235
Answer:
5 x 47Step-by-step explanation:
Hope this helps! <3
The number 235 is a composite number because 235 can be divided by 1, by itself and at least by 5 and 47. So, it is possible to draw its prime tree.
The prime factorization of 235 = 5•47.
hope this help! ^^
Expand & simplify 4(t+2)+6(t-4)
Answer:
10t - 16
Step-by-step explanation:
4(t + 2)+ 6(t - 4)
4t + 8 + 6t -24
10t - 16
find a round to the nearest tenth
Answer:
Side C= 22
Side B = 12
Side A= 22.16627
i do think it is 22.16627
Step-by-step explanation:
hope this helps
Claim 1: A dilation of scale factor 13 with the origin as the center of dilation takes line p to itself.
Answer: I don't really get what you're asking but if you're asking what a scale factor is you multiply each point by that number say point A was -3, 2 you'd do: -3 x 13 and 2 x 13
Step-by-step explanation: