work out the equation of the line which has a gradient of 2 and passes through the point (1,4).
Answer:
y = 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = 2x + 2 ← equation of line
Answer: y=2x+2
Step-by-step explanation:
Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?
Answer:
Thank to Goalscore24 correcting me, its actually Maria walking faster
Because 40 divided by 25 is 1.6
and 30 divided by 10 is 3
So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second
So Maria is faster.
Find the y-intercept of each line defined below and compare their values
Answer:
They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units
Step-by-step explanation:
Remember your y-intercept has an x value of zero, so line B has a y intercept of (0,-2)
now let's find b in the original equation so
y - 8 = -2x - 2 so y = -2x -2 + 8, so y = -2x + 6
So line A has a y-intercept of (0,6)
They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units
Find m RSU=103° what does UST=
Answer: UST = 77
Step-by-step explanation:
Angle RSU and angle UST together measure 180. (half of a circle) (or you can say they are a linear pair...either way they would sum to 180) 180-103 = 77
Write the equation of the line below in slope-intercept form.
Identify the correct equation for the graph below.
i think it is c
im not sure
wait i love food sooooooooooooooooooooo much
Answer:
Me toooooooooo..!!!!!!!
Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
Step-by-step explanation:
Remark
The formula you use is (Electricity / Total Income ) * 100
The ratio becomes 53.7/1725 * 100%
The ratio is 53.7/1725 * 100 = 0.03113 * 100
The % = 0.03113 * 100 = 3.113
To the closest tenth that is 3.1%
I get a 15% commission on all jewelry sales that I make. If I sold 6,000 worth of jewelry, how much commission will I earn?
John went to the store and bought 3 books for $18. How many books could he purchase for $54? *
Answer:
He bought 9 books.
Step-by-step explanation:
If $18 can by 3 books to find how much one book costs we divide 18 by 3 and get six.
54÷6=9
I hope this helps you :)
Find the values for x for which the expression 2x-3/(x+4)(x-2) is equal to 1/5
Answer:
1 and 7
Step-by-step explanation:
(x+4)(x-2) = x²+2x-8
set up proportion:
2x-3/ x²+2x-8 = 1/5
cross-multiply:
5(2x-3) = x²+2x-8
10x-15 = x²+2x-8
Combine Like Terms:
x²-8x+7
Factor:
(x-7)(x-1)
set each factor equal to zero and solve: x = 1, x = 7
Answer:
[tex] \frac{(2x - 3)}{(x + 4)(x - 2)} = \frac{1}{5} \\ \frac{2x - 3}{x {}^{2} - 2x + 4x - 8} = \frac{1}{5} \\ x {}^{2} - 2x + 4x - 8 = 5(2x - 3) \\ x {}^{2} + 2x - 8 = 10x - 15 \\ x {}^{2} + 2x - 10x = - 15 + 8 \\ x { }^{2} - 8x = - 7 \\ x {}^{2} - 8x + 7 = 0 \\ x {}^{2} - x - 7x + 7 = 0 \\ x(x - 1) + 7(x - 1) \\ x + 7 = 0 \\ x = - 7or \\ x - 1 = 0 \\ x = 1[/tex]
Step-by-step explanation:
x=7 or x=1
Solve for x.
2x-2=-12
please help
Answer:
-5
Step-by-step explanation:
2x=-10
x=-5
Answer:
x = -5
Step-by-step explanation:
2x - 2 = -12
(Add 2 on both sides)
2x - 2 (+2) = -12 (+2)
(simplify)
2x=-10
(Divide by 2 on both sides)
2x/2 = -10/2
(Simplify)
x = -5
Hope this helps :)
If I start with 3 and count by 4's until I reach 99, I get 3, 7, 11, …, 99, where 3 is the first number, 7 is the second number, 11 is the third number, and so on. If 99 is the Nthnumber, what is the value of N?
Answer:
Given variables:
a=3
d=4
Tn=99
N=?
Using the formula
Tn=a+(n-1)d
99=3+(n-1)4
96=4(n-1)
24=n-1
25=n
Therefore N=25
Maya made 25% of her free throws over the season. If she shot 180 free throws, how
many did she make?
Multiply the number of shots she tried by the percentage she makes:
180 x 025 = 45
She made 45
Answer:
45
Step-by-step explanation:
25% is 1/4.
180/4 is 45.
The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS
Answer:
Step-by-step explanation:
SAS
Answer:
AAS
Step-by-step explanation:
Johnny uses the mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.If the mirror is 45 feet away from the building’s base, how tall is the building?
Answer:
Step-by-step explanation:
h/45=6/4
h=45(6)/4
h=67.5ft
This is it .. I’m confused please help
Answer:
Its C, think a e and c its angle is about 150 degree
s
how many square feet of outdoor carpet will need for this hole?
Answer:
8ft^2
Step-by-step explanation:
3 by 2 is 6ft^2
1 by 2 is 2ft^2
You can simply add them together for your total! Enjoy!
Answer:
you need 8 more for the missing
Step-by-step explanation:
3 x 2 = 6 1 x 2 = 2 = 8
Danny is looking at a statue in the park from 24 feet away. The distance from the top of the statue of the top of dannys head is 26 feet. If danny is 6.5 feet tall, how tall is the statue
Answer:
16.5 ft
Step-by-step explanation:
the Step by step detailed solution is attached please check and feel free to ask any doubt.
How do i solve 7/11 = 18/x+1
The area of the triangle whose vertices are A(-6, -2), B(-4, -6), B(-2, 5) will be
A. 15 square units
B. 36 square units
C. 24 square units
D. 12 square units
Answer:
A. 15 square units
Step-by-step explanation:
Because it is the "Correct Answer"
Write an expression that is equivalent to 3 (2x + 6y)
Answer:
6x+18y
Step-by-step explanation:
Answer:
6x + 18y or 6 (x + 3y)
Step-by-step explanation:
Distribute the 3 or divide the parentheses by 2
8 out of 32 is same as??
Please tell me solution with all steps
Answer:
4
Step-by-step explanation:
32/8
= 4
Pls mark as branlist
Write each phrase as an algebraic expression.
n divided by 8
p multiplied by 4
b plus 14
90 times x
a take away 16
k less than 24
3 groups of w
the sum of 1 and q
the quotient of 13 and z
c added to 45
8 less than w
(please, don't say something random to get points, say the answer only.)
_, _, _, _,-5, -9
Complete the Fibonacci codes ASAP pleasee
Answer:
11,7,3,-1,-5,-9
Step-by-step explanation:
count by 4
what is the value of a b and c?
Answer:
Thanks for the points G
Step-by-step explanation:
bye
(70 points)------------------
Answer:
Wait I don't understand the question... It looks like it is already answered- :(
Step-by-step explanation:
Find the volume of the rectangular prism.
Answer:
Step-by-step explanation:
The volume of a rectangular prism is
V=xyz, where x,y,z are the three dimensions, in this case
V=10(4.5)6.25
V=281.25 ft^3
determine whether the ratios are equivalent. 4 7 and 8 11
Answer:
answer is the ratios are not equivalent or not in proportion
Step-by-step explanation:
you can find it by crops multiplication
4/7
8/11
4*11
8*7
44=56
Therefore it is not in proportion
Answer: 4 : 7 = 8 : 14
8 : 11 = 16 : 22
Step-by-step explanation:
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?
2/3
3/2
1
8
Answer:
B
Step-by-step explanation:
16 x 3/2 = 24
24 x 3/2 = 36
36 x 3/2 = 54