Answer:
B. The slope of the graph of k is 2.Step-by-step explanation:
Find the equation of the line.The slope is:
m = (8 - 0)/(1 + 3) = 2The y-intercept is:
0 = -3*2 + bb = 6The line is:
y = 2x + 6Now lets look at the answer optionsA. The x-Intercept of the graph of k is 8.
The x- intercept is -3, FalseB. The slope of the graph of k is 2.
m = 2, TrueC. The graph of k passes through (-1, -8).
-8 = 2(-1) + 6-8 = 4, FalseD. The zero of k is 3.
x = 0 ⇒ y = 0+ 6 = 6, FalseThe slope of the graph of k is 2.
The correct statement is B.
Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).
We need to check which option is correct.
To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).
The slope of a linear function is given by:
slope = (change in y) / (change in x)
Using the points (-3, 0) and (1, 8):
slope = (8 - 0) / (1 - (-3))
slope = 8 / 4
slope = 2
So, the slope of the graph of k is 2.
Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.
Using the point (1, 8):
8 = 2 × 1 + b
8 = 2 + b
b = 8 - 2
b = 6
Now, the equation of the linear function k is:
y = 2x + 6
Now, let's evaluate the given statements:
A. The x-Intercept of the graph of k is 8.
To find the x-intercept, we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The x-intercept is -3, not 8. So statement A is false.
B. The slope of the graph of k is 2.
We already found earlier that the slope of k is 2. So statement B is true.
C. The graph of k passes through (-1, -8).
Let's check if (-1, -8) satisfies the equation of k:
-8 = 2 × (-1) + 6
-8 = -2 + 6
-8 = 4
The equation is not satisfied, so statement C is false.
D. The zero of k is 3.
To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The zero of k is -3, not 3. So statement D is false.
In conclusion:
Statement A is false.
Statement B is true.
Statement C is false.
Statement D is false.
Learn more about linear function click;
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A baseball has a momentum of 70 kg*m/s south and a mass of 0.2 kg. What is the
ball's velocity?
Answer : Diluc + Klee = Dlee
Rút gọn biểu thức √81a^6b^2
Answer:
English.........plzpzl
A total points scored in a basketball game was 21. How many were 2 points, and how many were 3 point shots. using a linear equation to figure
Answer:
im not sure
Step-by-step explanation:
What is the area of the trapezoid?
Answer:
128
Step-by-step explanation:
1/2 x (10+22) x 8 =128
Simplify (3x-8)+(2x+5)-(4x-8)
Answer:
x+5
Step-by-step explanation:
3x+2x=5x
5x-4x=x
-8+5=-3
-3--8=-3+8=5
x+5
At the zoo, a child pays c dollars for a ticket and an adult pays g dollars. Explain in words the meaning of g=2c
Answer:
Step-by-step explanation:
How many square yards of carpet are needed to cover the floor of a related 15 feet long and 12 feet wide
Answer:
20 yards squared.
Step-by-step explanation:
First, you should convert your units. Three feet make a yard, so 15 feet = 5 yards and 12 feet = 4 yards.
The area of a square is found by multiplying the length and width, so 5 yards x 4 yards = 20 yards.
Joshua find the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut to install around its outer edge. determine what is wrong with his calculations and how to find the correct length
Answer:
I'm not really sure man :P
graph the line that passes through the point (0, -3) and is perpendicular to another line whose slope is 2
Answer:
y = -1/2x -3
Step-by-step explanation:
The line perpendicular to one with a slope of 2 will have a slope that is the negative reciprocal of 2, that is, -1/2. The given point is the y-intercept of the required line, so we can write its equation directly in slope-intercept form:
y = mx + b
where m is the slope (-1/2), and b is the y-intercept (-3). Your line is ...
y = -1/2x -3
(20 POINTS, RIGHT ANSWER ONLY PLEASE)
What value is needed to prove the triangles are similar by SAS~?
Can someone help me??
Answer:
x = √(5)
Step-by-step explanation:
[tex]x^2 = 5[/tex]Step 1: Take square root of both sides.
[tex]\sqrt{x^2} = \sqrt{5}[/tex] [tex]x = \sqrt{5}[/tex]Therefore, x = √(5).
select all the pieces of the triangle that are marked as congruent in the following picture
Answer:
C. D. E. is the correct answer.
Step-by-step explanation:
Hope this helps you. Have a nice day. If you have doubt then please ask in comments.
Please mark as brainliest. It helps a lot.
Answer:
M = C
BC = LM
B = L
Step-by-step explanation:
We can see that there are double lines between BC and LM, and a triple line curves at Angle B and Angle L.
We can conclude that:
A = K
B = L
C = M
C = K (NO)
BA = MK (NO)
M = C (YES)
BC = LM (YES)
B = L (YES)
Which fraction is close to zero?
a. 5/12 b. 8/12 c. 2/12 d. 4/6
Answer:
2/12
Step-by-step explanation:
Answer:
C) 2/12
Step-by-step explanation:
You need to convert the fractions to decimals (by dividing the top number by the bottom number).
5/12 = 0.416...
8/12 = 0.666...
2/12 = 0.166...
4/6 = 0.666...
As you can see, 2/12 in decimal form is closer to 0 than the other fractions.
write vertically and solve step bye step 1.what is 0.24x3.12
Answer:
0.7488
Step-by-step explanation:
0.24
× 3.12
_______
0.48
0.240
+ 0.6200
________
0.748 8
Select the expression that has a value of 2.472.
A. 0.824 x 3
B. 8.24 x 3
C. 82.4 x 3
D. 824 x 3
Answer:
A. 0.824 x 3=2.472
Step-by-step explanation:
hope this helps
b) 8 x + 3 = 35
C)_times5=80/2
Answer:
b. 8×+3=35
Step-by-step explanation:
is the answer
Solve:
3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2
Answer:
x = 26/45
Step-by-step explanation:
Answer:
Given Question
Solve for x :
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]
[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]
[tex]\rm :\longmapsto\:28x = 26[/tex]
[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]
[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]
VERIFICATIONConsider LHS
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]
On substituting the value of x, we get
[tex]\rm \: = \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]
[tex]\rm \: = \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -15 - 32}{84}[/tex]
[tex]\rm \: = \: - \: \dfrac{47}{84}[/tex]
Consider RHS
[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On substituting the value of x, we get
[tex] \rm \: = \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]
[tex] \rm \: = \: \dfrac{70 - 117}{84}[/tex]
[tex] \rm \: = \: - \dfrac{47}{84}[/tex]
Hence, LHS = RHS
Hence, Verified.
Tanner's chemistry textbook weighs 5/6 of a pound and his geometry textbook weighs 1/6 of
a pound. How much more does the chemistry textbook weigh than the geometry textbook?
i will give thanks and brainliest
Evan ran 20 meters in 5.8 seconds. Yelena ran 20 meters in 5.4 seconds. Who ran faster? Explain how you
know.
Answer: Yelena
Step-by-step explanation:
5.4 is shorter than 5.8
Answer:
Yelena
Step-by-step explanation: I know this because Yelena and Evan both ran the same distance, but Yelena's time for the run was faster than Evan's.
Which of the following is equivalent to 8 1/2 ?
Answer:
1 5/8 is equal to 13/8
Step-by-step explanation:
Exit
What is the decimal equivalent of 4/5
Answer:
0.8
Step-by-step explanation:
to find the decimal equivalent we must get the denominator to 100
to do that we must multiply it by 20, 4/5 * 20/20 is 80/100
80/100 is also 80%, which is also 0.80 (which can be simplified to 0.8)
Damian is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 4 points. What would be Damian's test score (out of 40) if he got 4 questions wrong? What would be his score if he got xx questions wrong?
Answer:
36/40 or 90%
Step-by-step explanation:
First convert it to a fraction, which in this case is 36/40.
To find the percentage, we need to find an equivalent fraction with the denominator of 100. Multiply both numerator & denominator by 100.
36/40 × 100/100
= (36 × 100/40) × 1/100 = 90/100
Therefore, the answer is 90%.
If you are using a calculator, simply enter 36÷40×100, which will give you 90 as the percentage.
34500002650 in standard form 2 significant figures
Answer:
35000000000
Step-by-step explanation:
i used a calculator hope this helps
Someone can help me please?
Answer:
19 x 10^12 = 1.9 x 10 ^13
23 x 10^8 = 2.3 x 10^9
23 x 10^7 = 2.3 x 10^8
19 x 10^-12 = 1.9 x 10^-11
23 x 10^-8 = 2.3 x 10^-7
23 x 10^-7 = 2.3 x 10^-6
Step-by-step explanation:
A regular polygon has 20 sides
work out the sum of the interior angles of the polygon
work out the size of the interior angles
Step-by-step explanation:
The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n=20 and we have the answer of 18(180)=3240 degrees.
Step-by-step explanation:
Course menu
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Search icon
What is the measure of an interior angle of a regular polygon with 20 sides?
Geometry Angles with Triangles and Polygons
1 Answer
mason m
Jan 2, 2016
162
˚
Explanation:
The sum of the interior angles in a regular polygon with
n
sides is found through the formula
180
˚
(
n
−
2
)
Here,
n
=
20
, so the sum of the interior angles is
180
˚
(
20
−
2
)
=
180
˚
(
18
)
=
3240
˚
To find just one angle, divide
3240
˚
by
20
since all
20
angles are congruent.
3240
˚
20
=
162
˚
Hey I really need help with this
Answer:
2.7 cm
Step-by-step explanation:
subtract DC from EC
4x/5 = x+3/6
what is the value of x?
also the x is x+3 as the numerator together
it's literally like 5 am and ive been up since 3 am
help??
Answer:
x=15/19
Step-by-step explanation:
You have to start by multiplying the denominators by the numerators. I doesn't matter which you do first, as you can see, I chose to multiply the 6 by the 4x first.
Once that is completed, it is a simple matter of rearranging the equation so it begins with x=...
To do this, just subtract 5x and then divide by 19 on both sides to get the final fraction.
I have attached a photograph of my workings.
28 + 44 = 4(7 + ___)
Answer:
72
Step-by-step explanation:
Answer:
28 + 44 = 4(7 + 11)
Step-by-step explanation:
The table shows the production results for three factories. How many cars are manufactured at the fastest factory in one year?
12,000
13,500
16,200
22,000
Answer:
16,200
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ME ^^
PRETTY PLEEEASE
Step-by-step explanation:
Think of it this way what if an exponent had 1 so like 10^1
that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps
