Answer:
Answer is at the bottom!!
Step-by-step explanation:
y = - \frac{2}{5} x - 2
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 5y = 10 into this form
subtract 2x from both sides
5y = - 2x + 10 ( divide all terms by 5 )
y = - \frac{2}{5} x + 2 ← point- slope form with slope m = - \frac{2}{5}
Parallel lines have equal slopes hence
y = - \frac{2}{5} x + c is the partial equation of the parallel line
to find c, substitute ( 5, - 4 ) into the partial equation
- 4 = - 2 + c ⇒ c = - 4 + 2 = - 2
y = - \frac{2}{5} x - 2 ← equation of parallel line
Hope this helps!!
A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]567=7x\times x[/tex]
[tex]567=7x^2[/tex]
[tex]\dfrac{567}{7}=x^2[/tex]
[tex]81=x^2[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{81}[/tex]
[tex]x=\pm 9[/tex]
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH
Answer:
Step-by-step explanation:
(-4,0) (-2, -3)
(-3-0)/(-2+4)= -3/2
expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6
Step-by-step explanation:
[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]
[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]
[tex]49 + 14 \sqrt{6} + 6[/tex]
[tex]55 + 14 \sqrt{6} [/tex]
The expanded and simplified answer is 55 + 14√6.
How to find the simplified form of an expression?The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.
The given expression is expanded and simplified:Given: (7 + √6)^(2)
First, we have to square the expression and expand it.
(a + b)^2 = a^2 +2ab b^2
Similarly we can open the brackets of the given expression:
(7 + √6)^(2) = 49 + 2*7*√6 + 6
= 55 + 14√6
This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.
Therefore, we have expanded and simplified the given expression as 55 + 14√6.
Learn more about the simplified form here: https://brainly.com/question/1698314
#SPJ2
James was able to correctly 11 major highways, 4 mountains, 86 major cities, and 9 bodies of water on a map. How many places on the map did James identify? Explain how you can use compatible numbers to help calculate the sum.
Answer:
The number of places correctly identified is 110 places
Step-by-step explanation:
The number of places he correctly identified will be;
11 + 4 + 86 + 9 = 110 places
By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5
so 4 will be 5
11 will be 10
86 will be 85
9 will be 10
Adding all of these together, we have
5 + 10 + 85 + 10 = 110
Factor x^2 + 9x + 14
Answer:
(x+2)(x+7)
Step-by-step explanation:
Factor out the expression and simplify if needed.
Answer:
(x+2)(x+7)
Step-by-step explanation:
what adds to 9: 2 and 7
what multiplies to 14: 2 and 7
Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.
what is the slope of ( -4,-1) , (8 - -7)
Does the equation: -x + 6y = -7 represent direct variation?
Answer:
The equation -x + 6y = -7 does not represent direct variation.
Step-by-step explanation:
The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-interceptThe direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)The equation of the direct variation is y = m xLet us solve the question
∵ The equation is -x + 6y = -7
→ Substitute x by 0 to find the value of y-intercept
∵ x = 0
∴ 0 + 6y = -7
∴ 6y = -7
- Divide both sides by 6 to find y
∴ y = [tex]-\frac{7}{6}[/tex]
∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )
∵ The y-intercept of the direct variation is (0, 0)
∴ The equation -x + 6y = -7 does not represent direct variation.
Pls help this is already past due
Answer:
Step-by-step explanation:
-5400/-450
12 minutes
Answer:
12 minutes
Step-by-step explanation:
If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.
-5,400 meters ÷ -450 meters/minute = 12 minutes
It will take 12 minutes for the plane to reach an altitude of -5,400 meters.
Let's check:
-450 meters x 12 minutes = -5,400 meters
cam wants to find 509-106. which steps can he use to find the difference
Answer:
C.
Step-by-step explanation:
the answer is 403
Answer:
C
Step-by-step explanation:
It wouldn't be A since 5 - 1 you would get 4 hundred not 4 tens. It wouldnt be B because 9 - 6 you would get 3 ones not 3 hundreds and 5-1 you would get 4 hundreds not 4 ones. It wouldnt be D because 9-6 would be 3 ones not 3 tens. Hope I helped ! Good luck !
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?
S= CB-7, for C.
What is the Answer to this?
Answer:
C = (S + 7) / B
Step-by-step explanation:
S = CB - 7
S + 7 = CB
C = (S + 7) / B
Hope this helps!
En un mapa tienes que ir de la escuela a el mercado y del mercado a la biblioteca pero ¿Cómo se mide la distancia que hay entre cada uno de esos lugares si sale 1:10000 centímetros?
Answer:
La escala es 1 : 10000 centimetros
Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.
Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.
7) How far away from a 340 foot redwood tree would you need to stand, if the angle of elevation to the top of the tree is 550? Round your answer to the nearest foot.
Answer:
The required distance away from the foot of the tree is 238.0 feet.
Step-by-step explanation:
The height of the redwood tree = 340 feet, and the angle of elevation to its top = [tex]55^{o}[/tex].
let the required distance be represented by x, applying the appropriate trigonometry function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]55^{o}[/tex] = [tex]\frac{340}{x}[/tex]
⇒ x = [tex]\frac{340}{Tan 55^{o} }[/tex]
= [tex]\frac{340}{1.4282}[/tex]
= 238.062
x = 238.0 feet
The required distance away from the foot of the tree is 238.0 feet.
You have 784 grams of a radioactive kind of tellurium. If its half-life is 42 minutes, how much will be left after 126 minutes?
Answer:
98 grams
Step-by-step explanation:
The simplest way to think about this is that the half life has elapsed 3 times, so you need to take the initial mass and divide it by 2 3 times, so 784/2/2/2 or 784/8 which is 98
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?
Answer:
Freddy is 40
his nephew is 17
Step-by-step explanation:
6+2n +n=57 6+2n or 6+2(17
6+3n=57 6+34
3n=51 40
n=17 f=40
whats the slope of (-1,4) and (-2,5)
Answer:
m=-1
Step-by-step explanation:
Answer: m = -1
Step-by-step explanation: Use the slope formula to find the slope m.
Three years ago Jolene by $800 worth of stock in a software company since in the value of her purchase has been increasing average rate of 12 1/2 cent per year how much is the stock worth now
Answer:
The value of stock now = $966.35Step-by-step explanation:Given in question as, Three ... Three years ago, Jolene bought $800 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 6.5% per year.
Step-by-step explanation:
Answer:
£1464.84 is your answer
Step-by-step explanation:
Depending on whether you use simple or compound interest. I would think the stock would be worth:
$
750
×
1.25
=
$
937.50
at the end of one year,
$
937.50
×
1.25
=
$
1171.88
at the end of two years, and
$
1171.88
×
1.25
=
$
1464.84
at the end of three years.
Or, if you want to compute it in one shot,
$
750
×
1.25
3
=
$
1464.84
.
Which of the following results in the expression 0.86 x 22?
Answer: 18.92
Step-by-step explanation: Multiply
22 by 0.86
Answer:
18.92
Step-by-step explanation:
Multiply 0.86 times 22
What is the equation of this graphed line?
(0,7)
(8,-2)
Enter your answer in slope-intercept form in the box.
Answer: y=-9/8x+7
Step-by-step explanation:
Answer:
[tex]y = \frac{ - 9}{8} x + 7[/tex]
Step-by-step explanation:
Slope intercept form is
y=mx+b
(m) is slope
(b) is y intercept
The y intercept is where ethe line crosses the y axis [vertical axis]
The line crosses at (0, 7)so our b=7, now we need slope.
The formula for slope is (y₂-y₁)/(x₂-x₁),
which is the y of the second given point minus the y of the first given point divided by the x of the second given point over the x of the 1st given point.
(-2-7)/(8-0)
-9/8 is our slope
put our (m) and (b) into the formula
y=-9/8x+7
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
help me with this homework
Answer:
r = 0
Step-by-step explanation:
-32r + 8 = -8r + 8
-32r + 8r = 8-8
-24r = 0
divide both sides by -24
then the answer will be -- r = 0
Answer:
0
Step-by-step explanation:
Work out the area of Triangle ABC
Just to confirm, these are the numbers,
Bottom right: √2cm
Bottom Left: 3√2cm
Middle right: 2√5cm
The main idea is using the Pythagorean formula to find the length of line segment [tex]DB[/tex].
Alr so you use the formula [tex]A^2 + B^2 = C^2[/tex]
[tex]C^2[/tex] is already given and is [tex]2\sqrt{5}[/tex]
and [tex]A^2[/tex] is [tex]3\sqrt{2}[/tex]
So using algebraic rules you'll get [tex]B[/tex] as:
[tex]\sqrt{2}[/tex]
Now using the formula: [tex]\frac{1}{2} b * h[/tex], you can find the area of tri ABD and CBD which would be [tex]3[/tex] and [tex]1[/tex] so add them up and you get [tex]4[/tex]!
The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.
Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?
Answer:
1 pound of avocado costs $1.8
Step-by-step explanation:
Allow me to rewrite your question for a better understanding and hope it ill fit the original one:
The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?
Here is my answer:
Given that:
5 pounds avocados = $9
They want to find out:
cost of 1 pound of avocado
So we use division to solve this problem:
$9:5 pounds = $1.8/pound or:
1 pound of avocado costs $1.8
Hope it will find you well
Thank you.
can i get brainliest by any chance i need 2 more
PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
-3/3
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion
Answer:
where's the table. on és la taula?
Step-by-step explanation:
What is the y-intercept of the graph of the linear function?
8n+16.2=1.6 what is the variable n
Answer:
n= -1.825
Step-by-step explanation:
Plz help very important question!!!!!
Answer:
Domain: [1, 6]
Range: [1, 7]
General Formulas and Concepts:
Alg I
Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
We can find our domain and range from looking from the graph.
Domain
Domain encompasses x-values. According to the graph, the x-values span from 1 to 6. Since both are closed dots, they are included in the domain:
[1, 6] or 1 ≤ x ≤ 6
Range
Range encompasses y-values. According to the graph, the y-values span from 1 to 7. Since both are closed dots, they are included in the range:
[1, 7] or 1 ≤ x ≤ 7
Easy way to remember this: for Domain, look only at the x-axis and for Range, look only for the y-axis.
Plz help me with this question if you can explain plz do also thank you!!
Answer:
The answer is b because h = hours and 45 is the mph
Step-by-step explanation:
Which answer is equivalent to the following expression:
42 ÷ ‒7
A.
6
B.
7
C.
‒7
D.
‒6
Answer:
D
Step-by-step explanation:
42 dived by -7 is -6, D