Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis.
Use exact numbers.
y-9=y−9=y, minus, 9, equals
Answer:
[tex]y-9=17(x+7)[/tex]
Step-by-step explanation:
Hi there!
What we know:
The line goes through the points (-8,-8) and (-7,9)We need to write the equation of the line in point-slope formWhat we need to know:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that the line passes throughWe're given "[tex]y-9=[/tex]", which is the "[tex]y-y_1[/tex]" part of the point-slope form equation. This means that [tex](x_1,y_1)[/tex] is [tex](-7,9)[/tex] and we only need to solve for m.Our equation so far (plugging in the point (-7,9):
[tex]y-9=m(x-(-7))[/tex]
[tex]y-9=m(x+7)[/tex]
Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-8,-8) and (-7,9)
[tex]=\frac{-8-9}{-8-(-7)}\\=\frac{-8-9}{-8+7}\\=\frac{-17}{-1}\\= 17[/tex]
Therefore, the slope of the line is 17. Plug this into [tex]y-9=m(x+7)[/tex]:
[tex]y-9=17(x+7)[/tex]
I hope this helps!
Someone help me. PLEASE!
Answer:
x = 25.7
Step-by-step explanation:
We know the adjacent side to the angle and the hypotenuse on a right triangle
cos theta = adj / hyp
cos 18 = x/27
27 cos 18 =x
25.67852594=x
Rounding to the nearest tenth
x = 25.7
Shelly purchased 6 25'-tape
measures and 2 chalk line reels for
$78. Sean purchased one 25'-tape
measure and 3 chalk line reels from
the same store for $29. What was
the price of each 25'-tape measure
and each chalk line reel?
Answer:
Price of one 25'-tape measure = $11
Price of one chalk line reels = $6
Step-by-step explanation:
Let t = price of one 25'-tape measure, and
let c = price of one chalk line reel
"Shelly purchased 6 25'-tape measures and 2 chalk line reels for $78."
6t + 2c = 78
"Sean purchased one 25'-tape measure and 3 chalk line reels ... for $29."
t + 3c = 29
We have a system of two equations in two variables. We will solve it with teh substitution method.
Solve the second equation for t.
t = 29 - 3c
Substitute 29 - 3c for t in the first equation.
6(29 - 3c) + 2c = 78
174 - 18c + 2c = 78
-16c = -96
c = 6
Substitute 6 for c in the second original equation.
t + 3(6) = 29
t + 18 = 29
t = 11
Answer:
Price of one 25'-tape measure = $11
Price of one chalk line reel = $6
can someone help with part A please??
Answer:
Step-by-step explanation:
4 days 9 hours 40 minutes
How many liters are equivalent to 25 ml
Answer:
0.025 liters
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
0.025 liters
Step-by-step explanation:
which expression is equivalent to 1/2r + 8p - 3/4r -2p
A. 1/4r -6p
B. 1/4r +10p
C. 1/4r + 10p
D. 5/4r + 6p
Answer:
D.5/4r+6p
Step-by-step explanation:
hula kong hahha
Alex accepted a job as a veterinarian that pays a salary of $78,500 in the first year. After the first year, his salary increased by 1.5% per year.
Alex works for the vet clinic for 10 years. What is the total of his earnings over the 10 years?
Round your answer to the nearest hundredth
$ = _______
Answer:
795.597,5
Step-by-step explanation:
let's consider the fact that Alex worked for the vet for 10 years. First year is off with $78,500 since that was his first payment, now there are nine years left. With some math operations we find that 1,5% in this problem is equal to 1.177,5$. So if we take that number and put it together with Alexs' first payment we get from now and on his yearly pay, which is $79.677,5. At last we take that number multiply it by 9 and add all the numbers together (78,500+79.677,5(×9)= 795.597,5)
The total of his earnings over the 10 years is $236677.5.
What is interest rate?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time.
Given
P = $78,500
Interest rate = 1.5 %
Time t = 10 years
Total earning = P[tex](1+\frac{r}{100} )^{t}[/tex]
A = 78500[tex](1+\frac{1.5}{100} )^{t}[/tex]
A = 78500[tex](\frac{1015}{100} )^{10}[/tex]
A = 78500[tex](\frac{230}{200} )^{10}[/tex]
A = $236677.5
Hence, the total of his earnings over the 10 years is $236677.5.
Find out more information about interest rate here
https://brainly.com/question/7279636
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Which expression is equivalent to 4 7/8 ÷ 4 1/4
Answer:
Improper fraction: 39/34
Proper fraction: 1 5/34
Decimal: 1.147 (rounded to the nearest thousandths).
Step-by-step explanation:
Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:
4 7/8 ÷ 4 1/4
First, change all fractions into improper fractions:
4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8
4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4
Next, find common denominators. Note that what you do to the denominator, you must do the numerator:
(17/4) * (2/2) = (34/8)
39/8 ÷ 17/4
Solve. First, change the division sign into multiplication, and then flip the second fraction:
39/8 ÷ 17/4 = 39/8 x 4/17
Multiply straight across:
39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.
~
Can someone tell me which one it is?
Answer:
-16
Step-by-step explanation:
-16... using d = b²-4ac
Answer:
the discriminant is –16
hope this helps!
Find the circumference
Answer:
75.36 mi
Step-by-step explanation:
Given :-
Radius = 12 mi .We know :-
→ Circumference = 2 π r
→ C = 2 * 3.14 * 12 mi
→ C = 75.36 mi
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*12
=24*3.14
=75.36 mi
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
What is 2x^2(x-5) divided by 10x when x + 10?
Answer:
1000
Step-by-step explanation:
2x²(x - 5) ÷ 10x
x = 10
2(10)²(10 - 5) ÷ 10(10)
20²(5) ÷ 100
100² ÷ 100
100000 ÷ 100
1000
simplify 26a+4a-10a
Answer:
20a
Step-by-step explanation:
26a+4a-10a=30a-10a=20a
Answer:
20a
Step-by-step explanation:
26a+4a-10a
since they are like terms u can add and subtract them
=30a-10a
=20a
Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age
Answer:
4c+5
Step-by-step explanation:
c=Christine's age
Go with me.
help me for brainiest pleasee
Answer: B
Step-by-step explanation: 12.8% of 635,000 = 81280
Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(1.0)
(2,-1)
(0.3)
(-1,5)
PLEASE HELP!!!!!!!!!!!!!
Answer: I think E
Step-by-step explanation:
can someone help please.
Answer:
if im not mistaken is d hope you get it right
A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old?
Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3:2. Which table shows this ratio and two equivalent ratios?
Answer:
B.
Step-by-step explanation:
The ratio of Claire's songs to her mother's songs = 3 : 2
A.
3 : 2 = 3/2
9 : 6 = 9/6 = 3/2
12 : 10 = 12/10 = 6/5
B.
3 : 2 = 3/2
6 : 4 = 6/4 = 3/2
15 : 10 = 15/10 = 3/2
C.
3 : 2 = 3/2
4 : 3 = 4/3
5 : 4 = 5/4
D.
3 : 2 = 3/2
4 : 6 = 4/6 = 2/3
20 : 30 = 20/30 = 2/3
The table which shows the correct ratio and two equivalent ratios is B
Whats the value of x in this triangle
Answer:
x =33.48537662
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin x = 32/58
Taking the inverse sin of each side
sin^-1 (sin x) = sin ^-1( 32/58)
x =sin ^-1( 32/58)
x =33.48537662
Answer:
33.47 degrees
Step-by-step explanation:
sin=32/58
sin^-1(32/58)= 33.47
find the difference between 4/11 of 2½ and 3/4
Answer:
4/11 of 2 1/2 = 4/11 * 5/2 = 20 / 22 = 10/11
a common denominator of 11 and 4 is 44
So 40 / 44 - 33 / 44 = 7/44
Check 4/11 * 2.5 = .909
3/4 = .75
difference = .909 - .750 = .159
7/44 = .159
L Por el alquiler de un coche cobran 100
pesos diarios mas 0.30 centavo por
kilometro. Encuentra la ecuacion de la recta
que relacoma el costo diarlo con el número
de kilometros
y representala.Si en un dia
se ha hecho un total de 300 km, que
importe debemos abonar?
Answer:
Sabemos que el costo del alquiler es 100 pesos diarios, más 0.30 pesos por kilómetro.
Entonces, solo por alquilar el coche por un día, hay que pagar 100 pesos.
Si además lo conduces x kilómetros, tendrás que pagar x veces 0.30 pesos.
Entonces el costo diario, en pesos, será:
C(x) = 100 + 0.30*x
Para graficar esta ecuación simplemente se deben encontrar dos pares:
(x, C(x)) en un eje de coordenadas, y luego conectarlos con una línea.
Por ejemplo, si tomamos:
x = 0
C(0) = 100 + 0.30*0 = 100
entonces tenemos el par (0, 100)
si x = 10
c(10) = 100 + 0.30*10 = 100 + 3 = 103
entonces tenemos el par (10, 103)
Ahora podemos graficar esos dos puntos y conectarlos con una línea, como en el ejemplo de abajo.
b)
También queremos conocer el costo diario si se han hecho un total de 300km.
Entonces simplemente reemplazamos x por 300 en la ecuación del costo:
C(300) = 100 + 0.30*300 = 100 + 90 = 190
El costo será de 190 pesos.
El dinero total a pagar por 300 Km es de 190 pesos.
La ecuación de una recta viene dada por y = mx + c
m = pendiente
c = intersección
Así, dado que cobran 100 pesos por día más 0,30 centavos por kilómetro, podemos escribir;
y = 100 + 0,30 x
Dado también que hay un total de 300 km, ahora tenemos;
y = 100 + 0.3(300) = 190 pesos
Más información sobre la ecuación:https://brainly.com/question/22929949
True or false, with method of elimination, think about what you can multiply one equation by so that a variable will be eliminated when the two equations are added.
Answer:
True i think
Step-by-step explanation:
for the same girl again plz.
Answer:
Option A is correct
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Hope it is helpful...A• 3.7
B• 3.8
C• 5.3
D• 5.4
Answer:
D 5.4
Step-by-step explanation:
The pythagoras theorem states that a² + b² = c²
2² + 5² = ?²
4 + 25 = ?²
29=?²
? =
[tex] \sqrt{29} [/tex]
? = 5.4 rounded 2 sig fig one decimal place
A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
3/4 = 12/x. Solve for x.
Answer:
x=16
Step-by-step explanation:
3*4=12
4*4=16
Find the volume of the pyramid. The base is an isosceles triangle with a base of 7/3 meters and height of 15/2 meters. The height of pyramid is 24/5 meters
Volume of pyramid =
V=224/25 m3
V=1344/25 m3
V=14 m3
Answer:
14 m³
Step-by-step explanation:
the volume of pyramid = ⅓× base area × height
= ⅓ × (½×7/3 × 15/2) × 24/5
= (7×15×24)/(3×2×3×2×5)
= 2520/180
= 14 m³
Find the area of circle whose radius is 5
cm.
Answer:
22/7 ×5^2(area of circle is2πr^3
78.57