What is the equation of the following line written in general form? (The y-intercept is 7.)
y
(-2.1)
Answers
Answer:
[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]
Related Questions
Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
x = 5
Step-by-step explanation:
Each new term is 1 greater than the previous term. Therefore:
x + 9 = (3x - 2) + 1 Equivalent to x + 9 = 3x - 2 + 1, or:
9 + 2 - 1 = 2x, or 2x = 10
Thus, x = 5
Check by substituting 5 for x as indicated:
3x - 2 becomes 13 (which means the next term must be 14)
x + 9 becomes 14, and
2x + 5 becomes 15
and these consecutive sequence terms are {13, 14, 15}
Suppose you are in fort Simpson, northwest territories. Find the GST on each item. a) a digital camera that costs $89.97 b) a cordless phone that costs $24.97 c) a soccer ball that costs $17.99
Answers
Answer:
Step-by-step explanation:
j
What is the base in 2^8 *
Answers
Answer:
For a single digit in base 8, we need up to three digits in base 2. For two digits in base 8, we need 4, 5, or 6 digits in base 2. For three digits in base 8, we need 7, 8, or 9 digits in base 2.
Step-by-step explanation:
Answer:
Base = 2
Step-by-step explanation:
2⁸
Here 2 is the base and 8 is the exponent
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answers
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
Two miles away from home, she had to walk the remaining four miles. She had to walk all the way back home. How many more miles did she walk than she rode?
Answers
Answer:
Distance rode = 6 miles
Step-by-step explanation:
distance from home = 2 miles
remaining distance = 4 miles
The distance rode = 4 + 2 = 6 miles
given that 2p-q = r + s then q=
Answers
Answer:
q = 2p - r - s
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2p - q = r + s
Step 2: Solve for q
[Subtraction Property of Equality] Subtract 2p on both sides: -q = r + s - 2p[Division Property of Equality] Divide negative on both sides: q = -(r + s - 2p)[Distributive Property] Distribute negative: q = 2p - r - swhat is the percent of decrease from 300 to 50?
URGENT!!!!!!!!!
Answers
The percentage reduction can be written as 16.6667% of 300. 83.3333 percent decrease (%↓) or reduction from 300 is 50.
Answer:
83.33%
Step-by-step explanation:
300-50=250
250/300=83.33%
what is 8 to the power of ten?
Answers
Answer:
80
Step-by-step explanation:
......................................
80..........
2 1/4 X 1 2/3 x 1/6
calculate and write as a mixed number
will mark brainliest
Answers
Step-by-step explanation:
everything can be found in the picture
The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answers
Answer:
Step-by-step explanation:
27 degrees
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 2?
A)765
B)943
C)940
or none of these
Answers
For any number to be divisible by 2 the last digit in the number has to be an even number or the number 0.
A and B end with an odd number so cannot be divided by 2.
C ends with 0 so can be divided by 2
The answer is C. 940
How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?
Answers
Answer:
[tex]y=\frac{3}{2}x+(-14)[/tex]
Step-by-step explanation:
Equation of a line has been given as,
[tex]y=-\frac{2}{3}x[/tex] --------(1)
Slope of the line is,
[tex]m_1=-\frac{2}{3}[/tex]
By the property of perpendicular lines,
If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]
Therefore, slope of the line perpendicular to the line (1) will be,
[tex]-\frac{2}{3}\times m_2=-1[/tex]
[tex]m_2=\frac{3}{2}[/tex]
If this line passes through a point (4, -8) equation of the line will be,
[tex]y-y'=m_2(x-x')[/tex]
[tex]y+8=\frac{3}{2}(x-4)[/tex]
[tex]y=\frac{3}{2}x-6-8[/tex]
[tex]y=\frac{3}{2}x-14[/tex]
factorise fully the following expression (am-an+bm-bn)
Answers
Step-by-step explanation:
am-an+bm-bn
m(a+b)-n(a+b)
(m-n)(a-b)
Answer:
[tex] \small \sf \: ( m - n ) ( a + b )[/tex]
Step-by-step explanation:
( am - an + bm - bn)
Do the grouping= ( am - an ) + ( bm - bn )
Factor out a in the first and b in the second group= a ( m - n ) + b ( m - n )
factor out common term m - n by using distributive property= ( m - n ) ( a + b )
(when u solved it, can u show me how you got the answer because my teacher wants us the show the work as well)
ty
Answers
Explanation:
I first split the shape into two smaller shapes. Then I found those two areas and added them! (18x12)+(9x3)=243
Find the surface area of the triangular prism. ______ square centimeters
Answers
Step-by-step explanation:
there is answer in the image above
hey yall heres another question i need the answer to ASAP !!!!!
Type the correct answer in each box.
The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.
the question marks stand for where the answers should go.
Answers
Answer:
girth is better than length. your welcum ;)
find the sum of the arithmetic progression (AP) 1,3,5,...,101.
Answers
Answer:
दवणडतडडथवणतणलतवलडथलडद
Answer:
2,601
Step-by-step explanation:
the sum of AP = 51/2 × (1+101)
= 51/2 × 101 = 2,601
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answers
Answer:
3.16666667 tons
Step-by-step explanation:
hope this helps have a good evening
Which expression is equivalent to 5y^-3
Answers
Answer:
5/y^3
Step-by-step explanation:
help help help help pls
Answers
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]
Therefore;
[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
In the triangle below, what is the measure of Z?
A. 90°
B. 7°
C. 65°
D. 50°
Answers
Answer:
C. 65
Step-by-step explanation:
Y and Z are the same angles so they would have the same measurement.
A newborn baby weighed 133 ounces.
What is the baby's weight in pounds and
ounces? (1 pound = 16 ounces)
Answers
Answer: UHHHHH i shall halp ya
Step-by-step explanation:
if its 133 in ounces its 293.215 in pounds
Answer: 8 pounds and 5 ounces
Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.
Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof
Answers
Step-by-step explanation:
A is correct option there are no real roots
because discriminant is less than zero
find the surface area of this figure.
Answers
Answer:
148 ft2
Step-by-step explanation:
2×(6×4 + 6×5 + 4×5) = 148 ft2
plz halp im a pabo and cant solve it
Answers
Answer:
the surface area of cylinder is 75.36 inches²
hope it helps
have a nice day
Answer:
SA = 75.36
Step-by-step explanation:
So, you use the formula and replace the letters with the values.
SA = 2*3.14*2^2+2*3.14*2*4
SA = 25.12+ 50.24
SA = 75.36
The standard unit of mass is the : A.gram B.kilogram C.pound D.cubic centimeter
Answers
Answer:
kilogram
Step-by-step explanation:
solve 32*25/80 using the power and exponents law
Answers
Answer:
the answer is 10 the power of one or 10
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
Answers
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
What is the highest common factor of 65 and 56?
Answers
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
image
Answers
Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = [tex]\sqrt{100}[/tex] = 10
The hypotenuse is 10 ft
Answer:
the answer is 10 but you can ask your friends too
Step-by-step explanation:
h=p2+b2
root under 8 square +6 sqaure
root under 64±36
root Under 100
equals 10
i uses to learn like this but I'm not sure