Answer:
x = 3 and y = 5
Step-by-step explanation:
Given equations are :
y=5x−10 ..(1)
y=−3x+14 ...(2)
Subtract equation (2) from (1).
y-y = 5x−10-(−3x+14)
0 = 5x-10+3x-14
0= 8x-24
8x = 24
x = 3
Put the value of x in equation (1).
y=5(3)−10
= 15-10
y = 5
So, the values of x and y are 3 and 5 respectively.
-10(d+1)=-14
What is the value of d
Answer:
[tex]d=\frac{2}{5}[/tex]
Step-by-step explanation:
-10 (d+1) = -14
-10d -10 = -14
-10d = -14 + 10
-10d = -4
d = 4/10
d= 2/5
Because 10 lies between two consecutive perfect squares ___ and ___ square root of 10 is located between the square roots of these twi numbers. This means the square root of 10 is located between 3 and 4
Answer:
wut
Step-by-step explanation:
Find the value of x.
Answer:
Step-by-step explanation:
8/18=x/24
18x=192
x=10.667(correct to three decimal places)
Simplify (6w + 5.2) + (12.2 + 2.3w)
Answer:
The answer is 8.3 W + 17.4
If you click on the image it will show you how to solve the equation and I hope this helps you.
A rectangular prism has a volume of 3,510 feet cubed. It has a height of 12
feet and a length of 13 feet. What is it's width? *
Answer:
22.5 feet.
Step-by-step explanation:
Volume = length * height + width, so:
3510 = 13 * 12 * width
So width = 3510 / (13*12)
= 22.5 feet.
Sam's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large fish. Now he needs new fish for his aquariums.
•He will buy 5 small fish for every 10 gallons of water in the aquarium.
•He will buy 8 large fish for every 40 gallons of water in the aquarium.
What is the total number of fish Sam will have? What will be the ratio of Sam's small fish to large fish? Show or explain the steps you used to solve this problem.
The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
[tex]d^2 = l^2 + l^2[/tex]
[tex]d^2 = 2l^2[/tex]
Take positive square root of both sides
[tex]d = \sqrt{2l^2}[/tex]
Split:
[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]
[tex]d = \sqrt{2} *l[/tex]
Recall that the side length (l) is rational.
However, [tex]\sqrt 2[/tex] is irrational.
So, the product of l and [tex]\sqrt 2[/tex] will be irrational
Hence:
The diagonal is irrational
An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS
Answer:
The other angles can be 56°, 68°, or 62°.
Step-by-step explanation:
If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°
If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.
The other angles can be 56°, 68°, or 62°.
Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x
Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?
construct the incenter
construct the orthocenter
estimate the best place
construct the circumcenter
===========================================================
Explanation:
Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.
This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.
To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.
-------------
Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.
can someone please help its due soon.ill give brainliest!
Answer:
z = 17.5
Step-by-step explanation:
To get the value of z, we use the bisector theorem
7/z = 6/15
6z = 7 * 15
6z = 105
z = 105/6
z = 17.5
I need help I don’t get how to solve it plsss help me
Answer:
Step-by-step explanation:
They give you the equation, you must substitute the x values into the equation to find the y values.
Example on top equation:
y=-5x so the y values would be
y=-5(-1)=5
y=-5(0)=0
y=-5(1)=-5
y=-5(2)=-10
Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number
Answer:
23.3 is the answer to this question
3 (2x+8) = 60 x=____
Answer:
x=4/9
Step-by-step explanation:
3(2x+8)=60x
6x+24=60x
6x+24-24=60x-24 -60x
-54x=-24
-54x= -24
x= 4/9
ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =
Answer:
-38
Step-by-step explanation:
This another nae for fraction or quotient.It can also be written in the forms 'a:b' and a to b', where a and b are numbers.
Answer:
The answer is "Ratio".
Step-by-step explanation:
A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.
It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.
what is the appoximate distance between points d and e round your answer to the nearest hundreth
Zoom in to see better pls help!!
Answer:
12 inches
Step-by-step explanation:
Solve the formula C = d for d.
a(-6)=-42
solve for a
Answer:
7
Step-by-step explanation:
Answer:
A = 7
Step-by-step explanation:
You would take -42/-6 because that will tell you what x -6=-42
-42/-6 = 7
Also. you have to remember that a negative divided or multiplied by a negative = a positive
A line segment with endpoints (7,5) and (10, 1) is reflected across the line y = -x. Which pair of coordinates represents the endpoints of the given segment after the reflection?
A (-7, 5) and (-10, 1)
B (-5, -7) and (-1, -10)
C(5, 7) and (1, 10)
D (7,-5) and (10,-1)
Answer:
D. (7,-5) and (10,-1)
Step-by-step explanation:
Because 7 and 10 are on the Y and -5 and -1 is on the X
Help for brainliest.
Answer:
160 hope this work!!! love
3(2h+5)+4 so i dont get what it is, can someone help please?
Answer:
An linear equation in one variable
Step-by-step explanation:
Variable:h
Equation:6h+19
please help me on this will give you brainliest!!
Answer:
0.926
Step-by-step explanation:
Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!
The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x.
The length of a rectangle is 3 times as big as the width. Length = 3x
New width = x + 4
New length = 3x + 4
The new area will be:
a = (3x + 4)(x + 4)
a = 3x² + 12x + 4x + 16
a = 3x² + 16x + 16
28+c=36 what is the value of c
Answer:
to find the value of c, isolate it.
28 + c = 36
c = 36 - 28
c = 8
now, to check:
28 + 8 = 36 ✓
Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times
Answer:
0.75 ;
150
Step-by-step explanation:
Probability of rolling two even numbers :
{1, 2, 3, 4, 5, 6}
P(even) = 3 / 6 = 1/2
From a roll of 2 dice :
P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25
P(not even) = 1 - 1/4 = 3/4
X : ____ 6 _______ - 1
P(x) ____ 0.25 ____ 0.75
Expected value :
Σx*p(x) = (6*0.25) + (-1 * 0.75)
= 1.50 - 0.75
= 0.75
If 200 games are played :, n = 200
Expected value * n
0.75 * 200
= 150
Solve for r in terms s, t, u, v.
su=rtv
Answer:
r = su/tv
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
su = rtv
Step 2: Solve for r
[Division Property of Equality] Divide tv on both sides: su/tv = rRewrite/Rearrange: r = su/tvGiven the function below, find f(-5): f(x)= x^2 + 3x - 21
Answer:
Step-by-step explanation:
f(-5) = (-5)^2 + 3(-5) - 21
= 25 - 15 - 21
= -11
Answer:
11
Step-by-step explanation:
) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.
PLEASE HELPPPPPPPP....?.......
If a+b=15 and ab=54 then find
1)
[tex] {a}^{2} + {b}^{2} [/tex]
2)
[tex](a - b )^{2} [/tex]
3)
[tex]a ^{2} - {b}^{2} [/tex]
Answer:
a = 9
b = 6
I hope you can do the rest yoyrself, as I coulsnt find how to type it out ;-;
Answer:
1) 117
2) 9
3) 45 or -45
Step-by-step explanation:
a=9
b=6
1) a²+b²=9²+6²=81+36=117
2) (a-b)²=(9-6)²=3²=9
3) a²-b²=81-36=45
It’s also possible that a=6 and b=9, in which case
1) (same)
2) (same)
3) 36-81=-45