Answer:
Step-by-step explanation:
slope-intercept formula.. y= mx + b
so that's the form we want to get to
use the point-slope formula to get there y-y1 = m(x-x1)
m= slope and (x1,y1) is your given point
y-5 = 4(x-3.5)
y-4 = 4x - 14
y = 4x -14 +4
y = 4x -10
this looks like the slope-intercept form :)
The equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
The slope of the line = 4
The line passes through a point (3.5, 5)
We know the equation of the line that has slope m and y-intercept c:
y = mx + c
y = 4x + c (m = 3)
Point (3.5, 5) must satisfy the above line equation:
5 = 4(3.5) + c
c = -9 put this value in the line equation we get:
y = 4x -9
Thus, the equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
Learn more about the linear equation here:
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suppose line AT bisects ∠CAR. if ∠CAT = 5x and ∠CAR = 9x +7, what is ∠TAR
Answer:
∠TAR = 35°
Step-by-step explanation:
∠TAR = ∠CAR - ∠CAT = (9x + 7) - 5x = 4x + 7
AT bisect ∠CAR ∠TAR = ∠CAT
4x + 7 = 5x
x = 7
∠TAR = 4 x 7 + 7 = 35
J
(20a + 30°
Saº
(17a+ 48)
K
Solve for a
a
-
Answer:
20a+30=17a+48...
3a=78...
a=78/3=26
Show all work to multiply (3+ /(-16))(6-/(-64))
Answer:
=50
Step-by-step explanation:
The product of (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex]) is 50.
The given expression is (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex]).
We need to find the product for it.
How slove negative square roots?Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Now, (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex])=(3+4i)(6-8i)
=18+24i-24i-32i²
=18+32=50 (∵i²=-1)
Hence, the product of (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex]) is 50.
To learn more about the complex numbers visit:
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Find the the perimeter of the Shape 25m5cm 20m10cm 19m 22m
Answer:
Perimeter = 86m15cm
Step-by-step explanation:
Given:
Sizes = 25m5cm, 20m10cm, 19m, 22m
Find:
Perimeter
Computation:
Perimeter = 25m5cm + 20m10cm + 19m + 22m
Perimeter = 25.05 + 20.10 + 19 + 22
Perimeter = 86m15cm
which graphs represents y=2/3x-4
Answer:
It should be A
Step-by-step explanation:
This is because when we insert 3 into x we would get:
y = -2
By looking at the pics only one looks setting to the formula
Answer:
Step-by-step explanation:
We can solve this problem by substituting the values for x in the equation.
if we put x = 0, Y will be -4
if we put x = 3, Y will be -2
Now you can put the dots on the graph paper and draw the lines.
The Anser is 1
solve for x and graph
Answer:
X < -2
Step-by-step explanation:
what is the probability that the number chosen is multiple of of 3 given that is it a factor of 24
Answer:
You have a 50% chance of picking a multiple of 3.
Step-by-step explanation:
If we include 1 and 24 as factors of 24, then the possible choices would be:
1, 2, 3, 4, 6, 8, 12, 24
Of those, the only ones that are multiples of 3 are 3, 6, 12 and 24. Meaning that the chance of getting a multiple of 3 is 4/8, or 1/2, i.e. 50%
If we don't include 1 and 23, then we have:
2, 3, 4, 6, 8, 12
and 3, 6 and 12 are divisible by 3.
Which again gives 1/2, or 50%
So regardless of whether 1 and 24 are included, the chance of picking a multiple of three from the factors of 24 is 50%.
A video game that usually costs $50 is on sale for $32 50 What percent of the regular price is the discount
Answer:
65 percent
Step-by-step explanation:
50 and is for sale at 32.50 dollars
ok to now this
32.5/50=0.65 multiply by 100
65 percent
Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio
Answer:
[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]
Step-by-step explanation:
Geometric Sequences
The geometric sequence is given as:
[tex]a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}[/tex]
Where n is the number of the term, n≥1, and r is the common ratio.
The sum of n terms of the geometric sequence is given by:
[tex]\displaystyle S_n=a_1\frac{r^n-1}{r-1}[/tex]
We are given: S3=252, a1=192, thus substuting:
[tex]\displaystyle 252=192\frac{r^3-1}{r-1}[/tex]
Dividing by 12:
[tex]\displaystyle 21=16\frac{r^3-1}{r-1}[/tex]
Recall that:
[tex]r^3-1=(r-1)(r^2+r+1)[/tex]
Substituting:
[tex]\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}[/tex]
Simplifying:
[tex]21=16(r^2+r+1)=16r^2+16r+16[/tex]
Rearranging:
[tex]16r^2+16r+16-21=0[/tex]
16r^2+16r-5=0
Rewriting:
[tex]16r^2-4r+20r-5=0[/tex]
Factoring:
[tex]4r(4r-1)+5(4r-1)=0[/tex]
[tex](4r-1)(4r+5)=0[/tex]
Solving:
[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]
Both solutions are valid
ABCD ~ QRST
Find the missing side length, m.
(view image)
Answer:
m=4
Step-by-step explanation:
This two shapes are similar. 9 is being divided by 1.5 to give 6. Therefore we'll also divide 6 by 1.5 to us 4
Which of these is not an equation?
A
3b = 5
B
43(4x + 7y)
C
78 = 3p - 37
D
a - 17 = 1,825,026
Option B is not an equation since it doesn't have the "=" sign. [It's an expression]
Hope it helps!
(9.74c - 250.50) + (-5.48p + 185.70)
Step-by-step explanation:
explain to me what you are asking
Answer:
9.74c-5.48p-64.8
Step-by-step explanation:
(9.74c-250.50)+(-5.48p+185.70)
9.74c-250.50-5.48p+185.70
Combine like terms
-250.50+185.70= -64.8
-64.8+9.74c-5.48p
Reorder them (variables first <alphabetically> then, a number)
9.74c-5.48p-64.8
(x2 + 6x + 9) = (x + 3)
Answer:
x=−2 or x=−3
Step-by-step explanation:
help help help please its simpleeee
Answer:
y=1.6x+4
Step-by-step explanation:
Help pls! will give brainliest!
find the percent markdown of 175.80-141.27
Answer:
141.2/175.8=.803185
1-.803185=.1968=20% markdown
ples give brainliest! :D
1. A firm manufactures tables and desks. To produce each table requires 1 hour of labor, 10 square
feet of wood, and 2 quarts of finish. To produce each desk requires 3 hours of labor, 20 square feet
of wood, and 1 quart of finish. Available is at most 45 hours of labor, at most 350 square feet of
wood, and at most 55 quarts of finish. The tables and desks yield profits of $4 and $3 respectively.
Find the number of each product to be made in order to maximize profits. Find the maximum
profit.
9514 1404 393
Answer:
25 tables, 5 desks, for a profit of $115
Step-by-step explanation:
Let x and y represent the numbers of tables and desks to build, respectively. The we want to maximize 4x+3y subject to the constraints ...
x +3y ≤ 45 . . . . . constraint on labor
10x +20y ≤ 350 . . . . . constraint on wood
2x +y ≤ 55 . . . . . constraint on finish
These inequalities are graphed in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (25, 5).
The product mix that maximizes profit is ...
25 tables
5 desks
for a profit of 25·4 +5·3 = 115 dollars.
The center of mass of a triangular solid is at its what?
-Incenter
-circumcenter
-centroid
-vertex
A, B, C, or D?? Pls help
Answer:
the second one
Step-by-step explanation:
HELP ASAP PLEASE
janna and Travon are creating posters for school play together they will have f(t) posters after creating posters for t hours
f(t)= 5t + 3
The function f represents the fact that every hour-
a. janna and Travon can make 5 posters together, and 3 posters were already made
b. janna can make 5 posters, and travon can make 3 posters
c. travon can make 4 posters, and janna can make 1 poster
d. janna and travon can make 5 posters apiece, 3 posters were already made
Answer:
d
Step-by-step explanation:
they made 5 and have three left hope I helped good luck
-0.1 = - 10c
What is the letter C?
Answer:
The letter C represents as an unknown number or it can just stand for a word that starts with a C in a word problem. Answer: C= 0.01
Step-by-step explanation:
Hope i helped! :)
Help with congruent angles - please----
State if the 2 angles are congruent.
If they are, state how you know- for example SSS or SAS.
Answer:
SAS TRIANGLESStep-by-step explanation:
the triangles have two equal sides
and one angle
If a companies earnings were $640 and the commission Rate was 3% what is the commission
Answer:
Step-by-step explanation:
the commission is 3%
of 640
640*(3/100)=19.20 dollars
To prepare for a bake-off, Clarissa used 560 grams of flour each day for 3 weeks. How many kilograms did Clarissa use in those 3 weeks? 1 g = 0.001 kg
solve the inequality: 8(7-x)<64
Answer: x>-1
solving For X
Answer:
x > -1
Step-by-step explanation:
8(7-x)<64 (solve for x)
56 - 8x < 64 (distribute!)
-8x < 8 (subtracted 56 from both sides)
x > -1 (divide by -8, flip sign anytime you divide by a negative!)
hope this helps!
Manuel hizo un viaje en el coche, en el cual consumió 20 litros de gasolina. El trayecto lo hizo en dos partes: en la primera, consumió \frac{2}{3} de la gasolina que tenía el depósito y en la segunda etapa, la mitad de la gasolina que le queda.
Responder:
24 litros; 16 litros; 4 litros
Explicación paso a paso:
Dado que:
Gasolina consumida = 20 litros
Sea la cantidad de gasolina en el tanque = x
Primera parte del viaje = 2/3 de x
Segunda parte del viaje = 1/2 de (x - 2x / 3)
Cantidad de gasolina en el tanque:
2x / 3 + 1/2 (x - 2x / 3) = 20
Solución para x
2x / 3 + x / 2 - x / 3 = 20
(4x + 3x - 2x) / 6 = 20
5 veces / 6 = 20
5 veces = 20 * 6
5 veces = 120
x = 120/5
x = 24
Cantidad de gasolina en el tanque = 24 litros
Litros consumidos en cada etapa:
Primera parte = 2/3 de 24 = 48/3 = 16 litros
2a parte = 0.5 de (24 - 16) = 0.5 * 8 = 4 litros
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
please help , I'm being timed . Thanks
Answer:
14
Step-by-step explanation:
3x²-2y
3.3²-2.5 (as x=3 and y=5)
3.9-10
27-10
17
2x²-3y
2.3²-3.5 (as x=3 y=5)
2.9-15
18-15
3
As it said to exceed we have to
Substract 1st value by 2nd
17-3
14
I am sure
Simon is calculating 91600 ÷ 50 mentally. He first calculates 91600 ÷ 100 and gets 916. What should he do to 916 now
Answer:
Now Simon should multiply 916 by 2.
Step-by-step explanation:
Now Simon should multiply 916 by 2.
An item on sale cost 95% of the original price. The original price was $51.
Answer:
you pay $48.45
you save $2.55
Step-by-step explanation:
Trust
A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section
Answer:
56 ft^2
Step-by-step explanation:
Naina emptied a tank holding 65 L 400 ML of water into 12 bottles. What will be the capacity of each bottle.
Answer:
The capacity of each bottle is 5.45 of waters or 5 L 450 ML of water
Step-by-step explanation:
We are told that:
Naina emptied a tank holding 65 L 400 ML of water into 12 bottles.
We have 65 Liters and 400ml , we convert everything to Liters
1000ml = 1 L
400ml = x L
Cross Multiply
1000 × x = 400 × 1 L
x = 400/1000
x = 0.4L
Hence, the total capacity of the tank, is 65L + 0.4L = 65.4L
Since there are 12 bottles, we assume that each bottle are of the same size hence, the capacity of each bottle is
calculated as:
12 bottles = 65.4 L
1 bottles = x
Cross Multiply
12x = 65.4L
x = 65.4L /12
x = 5.45 L
Hence, the capacity of each bottle is 5.45 or 5 Liters, 450 ML