Answer:
6x + 13 = 12x - 20
Step-by-step explanation:
6x + 13 = 12x - 20
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
__________
Answer:
y = 2x +2
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)
From the graph we see that
m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2
m=2 is the slope
b is where the line cuts the y-axis and is at 2
b=2 is the y-intercept
Substitute m and b in the general equation to find the equation of the graphed line.
y = 2x +2
the first term of an AP is 2,and the last term is 59.if the sum of the first terms is 610,Find the common difference
Answer:
d = 3
Step-by-step explanation:
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( a + l)
where a is the first term and l the last term
Here a = 2, l = 59 and sum = 610 , then
[tex]\frac{n}{2}[/tex] (2 + 59) = 610
[tex]\frac{n}{2}[/tex] × 61 = 610 ( divide both sides by 61 )
[tex]\frac{n}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )
n = 20
Then the sequence has 20 terms with a₂₀ = 59
The nth term of an AP is
[tex]a_{n}[/tex] = a + (n - 1)d
where d is the common difference , then
2 + 19d = 59 ( subtract 2 from both sides )
19d = 57 ( divide both sides by 19 )
d = 3
Select the correct answer from each drop-down menu.
1. Congruent, not congruent or supplementary
2 adjacent, corresponding or vertical
1. Congruent
2. verticle (across from each others)
The difference between two times a number and eight is twenty two. What is twice the number?
Answer: 30
Step-by-step explanation:
2x -8 = 22
2x = 22 + 8
2x = 30
Divide both sides by 2
X = 15
Twice of x
2 x X = 2 x 15 = 30
Find the area of a circle with a radius of 6 feet. Use 3.14 for pi
Answer:
Replace the value of r in the formula :
A = π • r²
A = π • 6²
A = 113,097
Since you need to round off your answer to one decimal, your final answer is :
A = 113.1 square ft
Step-by-step explanation:
Round 18.527 to the nearest tenth.
Answer:18.53
Step-by-step explanation:
7 rounding up will end up to three
Answer:
18.5
Step-by-step explanation:
Write each phrase as a numerical or algebraic expression. 189 subtracted from t
Answer:
t-189
Step-by-step explanation:
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
I will give brainliest who ever answers fastest what is 1+1=?
Answer:
2
Step-by-step explanation:
Like and give 5 star rating
Somebody please help
Answer:
c/ y=20x
Step-by-step explanation:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
−
3
,
4
)
and
(
x
2
,
y
2
)
=
(
−
2
,
4
)
.
find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm
Answer:
1 cm
Step-by-step explanation:
the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k
For a point with a slope 3/4 and which passes through the points (-2, 6) and (-8, k), the value of k is 1.5
The line passes through the points (-2, 6) and (-8, k)
That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]
The slope of the line, m = 3/4
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above
[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]
Therefore, the value of k is 1.5
Learn more here: https://brainly.com/question/25613656
Write the equation of the line in fully simplified slope-intercept form.
need #5 and #6 please
Answer:
Step-by-step explanation:
According to the glossary, what are large meteors that enter the Earth's atmosphere?
A) Active galaxy
B) Blueshift
С) Coma
D) Bolide
Two lines are
perpendicular if the
of their
А
and
Lline are also perpendicular.
If a line is perpendicular to one of the
two given parallel lines then it is also perpendicular to the other line.
As we know that by the theorem of perpendicular transversal theorem that in the plane, if a transverse is perpendicular to one or two parallel lines, then it is perpendicular to the third line. ... Since, they do not touch or interact with each other they are said to be parallel to each other.
Thnx for marking me as brainlistEli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 mL water
Answer:
7.5 g salt
10g yeast
50 ML oil
450 ML water
Step-by-step explanation:
You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)
Pls helpp
1: Find the slope:
m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
Answer:
16
Step-by-step explanation:
Because 25 - 9 = 16
The height of a ball in feet is modeled by f(x) = -16x² +96x, where x is the time in seconds after it is hit. How long is the ball in the air?
Answer:
The answer is 144 feet and it will be in the air for 6 sec
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Like and give 5 star rating
leslie weighs her marbles in a jar and the scale reads 474 grams. The empty jat weighs 439 grams. each marble weighs 5. How many marbles are in the jar
solve pls brainliest
Answer:
1/4
Step-by-step explanation:
The constant of proportionality is 1/4.
Answer:
b
Step-by-step explanation:
The form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{1}{4}[/tex] x ← is in standard form
with k = [tex]\frac{1}{4}[/tex]
It takes 39 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?
Answer:
0.1
Step-by-step explanation:
if 3/ 4 part of the total number of students in a class are girls how much percent are boys
Answer:
1
Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1
Answer:
1/4 or 25% are boys
Step-by-step explanation:
3/4 + 1/4 = 4/4
75% + 25% = 100%
The basic Sl unit for measuring mass is the liter. True False
Step-by-step explanation:
False
The SI unit of mass is Kilogram ( Kg)
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 what does mac and cheese cost per pound?
Answer:
It costs $0.4 per pound of mac and cheese.
Step-by-step explanation:
3/7.50 = 0.4
Hope this helped. :)
Ritta purchased a package of stickers. She noticed 4 out of every 5 stickers where purple. Which table shows the relationship between the number of purple stickers, p, and the total number of stickers, t?
Answer:
4:5
Step-by-step explanation:
I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.
Tell me if I'm wrong :)
I don’t know how i’m supposed to do this it’s basically dividing a fraction with a fraction or something
It is 1.3 in decimal form
Answer:
84/63
Step-by-step explanation:
when you are dividing two fractions that is the equal of multiplying the upper one with the opposite of the one below
help me with this please and thank you
Step-by-step explanation:
a.
1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according
2) the rule:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
3) if to substitute the coordinates of A&B into the rule, then:
[tex]\frac{x-2}{6-2}=\frac{y-9}{17-9}; \ => \ \frac{x-2}{4}=\frac{y-9}{8}; \ => \ \frac{x-2}{1}=\frac{y-9}{2};[/tex]
or 2x-y+5=0 or y=2x+5 (slope-interception form).
P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.
b. see the attached picture (the required line is red colour);
c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;
d. the domain is (-∞;+∞), the range is (-∞;+∞).