Answer:
a= 3/11
b = 2/11
Step-by-step explanation:
a(1) + b(4) = 1
a + 4b = 1
a(3) + b(1) = 1
3a + b = 1
b = 1-3a
a + 4(1-3a) = 1
a+ 4-12a = 1
-11a = -3
a = 3/11
b = 1-3(3/11)
b= 2/11
The value of a and b are 3/11 and 2/11 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that the straight line ax+by=1 passes through the points (1,4)and (3,1).
Thus, the equation of the straight line passing through the point ( 3,1 )
a(3) + b(1) = 1
3a + b = 1
b = 1-3a
Thus, the equation of the straight line passing through the point(1,4)
a(1) + b(4) = 1
a + 4b = 1
Now substitute the value of b;
a + 4(1-3a) = 1
a+ 4-12a = 1
-11a = -3
a = 3/11
Then b = 1-3(3/11)
b= 2/11
Hence, the value of a and b are 3/11 and 2/11 respectively.
Learn more about equations here;
https://brainly.com/question/25180086
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if 2y-5x+10=0, find.
(i)y, when x=2
(ii)x, when y=5
Answer:
When x = 2, y = 0When y = 5, x = 4Step-by-step explanation:
PART I: Value of y, when x = 2Given information
x = 2
Given expression
2y - 5x + 10 = 0
Substitute values into the expression
2y - 5(2) + 10 = 0
Simplify by multiplication
2y - 10 + 10 = 0
2y = 0
Divide 2 on both sides
2y / 2 = 0 / 2
[tex]\boxed{y=0}[/tex]
-----------------------------------------------------------------
PART II: Value of x, when y = 5Given information
y = 5
Given expression
2y - 5x + 10 = 0
Substitute values into the expression
2(5) - 5x + 10 = 0
Simplify by multiplication
10 - 5x + 10 = 0
20 - 5x = 0
Add 5x on both sides
20 - 5x + 5x = 0 + 5x
20 = 5x
Divide 5 on both sides
20 / 5 = 5x / 5
[tex]\boxed{x=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
(i) x = 2
Substituting value in the equation,
2y - 5(2) + 10 = 0
2y - 10 + 10 = 0
2y = 0
y = 0
(ii) y = 5
Substituting value in the equation,
2(5) - 5x + 10 = 0
10 - 5x + 10 = 0
20 - 5x = 0
20 = 5x
5x = 20
x = 20/5
x = 4
Write the linear equation of the line that passes through the points (4,-5) and (-6,5)
Answer:
y = -x -1
Brainliest, please!
Step-by-step explanation:
(4, -5)(-6, 5)
y = mx + b
m = slope, b = y-intercept
m = 10/-10
m = -1
y = -1x + b
We can plug in (4, -5):
-5 = -1(4) + b
-5 = -4 + b
b = -1
y = -x - 1
Is it possible to draw a triangle with these measurements 90, 60, 60
Answer:
it is possible to draw a triangle with angles 90 degree, 60degree and again 60 degree
Write 0.2¯¯¯ as a fraction in simplest form.
Answer:
1/5
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
Answer:
[tex] \frac{1}{5} [/tex]
Step-by-step explanation:
0.2=
[tex] \frac{2}{10 } = \frac{1}{5} [/tex]
fill in the dimensions and angle measures . Are the dashed segments parallel ?
Answer:
To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.
Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0
Answer:
0.0300300030000...
Step-by-step explanation:
An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.
1632 can be written as 3264/2
0.25 can be written as 1/4
0 could be written as 0/0
but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.
Point R is on line segment QS
. Given QR=3x−8, QS=3x, and RS=2x, determine the numerical length of RS .
Answer: 8
Step-by-step explanation:
QS = RS + QR
3x = 2x + 3x-8
3x = 5x - 8
8 = 2x
8/2 = x
4 = x
RS = 2x = 2(4) = 8
what is a example of the reflexive property.
Answer: 3 is equal to 3
Explaination: We all have learned that reflexive property of equality means that anything is equal to itself. So, this property tells us that anything is equal to itself.
I'm checking behind myself. Can you answer this?
Answer:
9
Step-by-step explanation:
6x - 3 + 3x = 60 + 2x
Combine like terms:
6x - 3 + 3x = 60 + 2x
9x - 3 = 60 + 2x
-2x -2x
-----------------------
7x - 3 = 60
+3 +3
------------------
7x = 63
----- -----
7 7
x = 9
Hope this helped.
Answer:
9
Step-by-step explanation:
to solve this equation you first have to group the like terms
6x-3+3x=60+2x
6x+3x-2x=60+3
7x=63
then you divide both sides by 7 inorder to remain with the variable x on one side
7x/7=63/7
x=9
I hope this helps
Factorise
Please with full method
[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]
[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]
[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]
[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]
[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]
Answer:
Step-by-step explanation:
[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]
Which of the following numbers has the greatest value?
.1
.47
.049
.192
.0864
Answer:
.1
Step-by-step explanation:
anything that's the furthest(farthest) from the tenths is a small number
[tex]0.2(10-5c) = 5c - 16[/tex]
Solve for c,...
Thanks,...
We are given,
[tex] \longrightarrow 0.2(10 - 5c) = 5c - 16 [/tex]
Solving the parenthesis
[tex]{ \longrightarrow 0.2 \times 10 - 0.2 \times 5c = 5c - 16 }[/tex]
[tex]{ \longrightarrow 2 - 1c = 5c - 16 }[/tex]
[tex]{ \longrightarrow 2 + 16 = 5c + 1c }[/tex]
[tex]{ \longrightarrow 18 = 6c }[/tex]
Dividing both sides by 6
[tex]{ \longrightarrow 3 = c }[/tex]
Hence c = 3.
please help! i will mark brainliest!
Answer:
(-4.5, 0)
Step-by-step explanation:
I don't even use midpoint formula for these types of problems, we can just count and see where they meet in the middle.
0 --- (-9)
(-1) --- (-8)
(-2) --- (-7)
(-3) --- (-6)
(-4) --- (-5)
(-4.5) --- (-4.5)
The reduce feature on a copy machine is set
at 84%. The picture being copied is 4.5
inches wide. What will be the width of the
reduced picture?
5.35 in.
2.9 in.
3.78 in.
0.72 in.
Answer:
c) 3.78
Step-by-step explanation:
Need awnsers please
Answer:
1_ 129 , 51
2_ b
3_ 40
Step-by-step explanation:
1_ we can represent the bigger angle with x and smaller one with y
and as given, y is smaller than x by 78
so y = x - 78 (1)
as x + y = 180
we put y as we did in (1)
x + x - 78 = 180
so 2x = 258
so x = 129
and y will be 51
2_ from the figure we find the two angles form one angle = 90 degree
3_ from the defenition of complementary angles
m(c) + m(d) = 90
7r + 5 + 8r + 10 = 90
15r + 15 = 90
r = 5
so m(c) will be equal 7*5 + 5 = 40
what 4 numbers under 10 equals the product 2016
Answer:
4, 7, 8 and 9.
(4)(7)(8)(9)
= 4 × 7 × 8 × 9
= 2016
Verify it on a calculator for your satisfaction ☺
Hope that helps...
Solve the x 2/3x +5 1/2 = -10
Answer:
x = 2/3x + 5 1/2 = -10 = x = -93/4
Step-by-step explanation:
B is between A and C, BC=38, and AC=42. Find AB
help please!
Answer:
AB = 4
Step-by-step explanation:
AB + BC = AC
Substitute the line segments for their given values:
AB + 38 = 42
Subtract both sides by 38:
AB = 42 - 38
AB = 4
Check your work:
4 + 38 = 42
42 = 42
Correct!
Simplify the power of i^15
Answer:
this cant be simplified unless you have an integer in place of "i"
change 3/8 to a decimal
Answer:
please mark me brainliest
Step-by-step explanation:
Answer: 3/8 as a decimal is 0.375.
Answer:
0.375.
Step-by-step explanation:
Do the division:-
8)3.000(0.375
2 4
60
56
40
40
--
Name the property of real numbers illustrated by the equation.
Answer:
Property
Step-by-step explanation:
Distributive PropertyCan anyone explain what the last part is about describing the translation!
Answer:
the pictures is not clear
(b) Four of the interior angles of a 12 sided polygon are each x °. The other angles are 2xº each. Calculate the value of x.
Answer:
Step-by-step explanation:
Sum of all the angles of 12 sided polygon= (n -2)*180
= (12 - 2 )*180 = 10 * 180 = 1800
Four interior angle each of xº + 8 interior angles each of 2xº = 1800
4*x + 8*2x = 1800
4x + 16x = 1800
20x = 1800
x = 1800/20
x = 90°
Answer:
x = 90
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 12 , then
sum = 180° × 10 = 1800
There are 12 interior angles
Given 4 are x, then 8 are 2x , so
4x + 8(2x) = 1800
4x + 16x = 1800
20x = 1800 ( divide both sides by 20 )
x = 90
1. How much interest
will Hannah earn in 4 years if she
deposits $630 in a savings account at
6.5% simple interest?
Answer:
$163.8 more.
Step-by-step explanation:
Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.
A person picks 250 apples an hour and works for 5 hours a day. How many apples can be picked in 2 weeks, assuming apples are picked each day??
Answer:
17,500 Apples in 2 weeks
Step-by-step explanation:
250 apples*5 hours*14 days= 17,500 Apples in 2 weeks
John's cell phone company charges him a flat fee of $27.50 per month plus $.12 a
minute for every minute he is on the phone. If his bill was $66.62, how many minutes
was he on his phone?
326 minutes
35.5 minutes
O 348 minutes
A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Select one:
O a. 23
O b. 34
O c. 35
O d. 40
Answer:
34343434343434343434
Which point represents the opposite of -2?
A B C D
5 3 2 0 1 2 3 4 5
ОА
ОВ
ОС
OD
Answer:
your answer is point D represent
the ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were 450 more students than adults at the prom. If the school is expecting the same attendance this year, how many adults have to attend the prom
Answer:
about 48 adults , because you have to divide the 477 by 10
Step-by-step explanation:
I got this question on my test and i chose this and i got it right.
I hope this helps!! :)
RS is the segment bisector. If OQ = 32 and PO = 4x,
what does x equal?
4
8
36
128
pls help
Answer:
8
Step-by-step explanation:
Bisectors are lines that divide an angle into two equal parts. The value of x of OQ is equal to PO is 8
Angle bisectorsBisectors are lines that divide an angle into two equal parts. If RS is the segment bisector and given the following parameters:
OQ = 32
PO = 4x,
This shows that OQ = PO that is:
32 = 4x
Swap
4x = 32
x = 8
Hence the value of x of OQ is equal to PO is 8
Learn more on bisectors here: https://brainly.com/question/11006922