i guess is by multiplying 3by the first equation and multiply 2by the second equation
Find the equation of the line that has a slope of 1 and passes through the point (−10,−6).
Answer:
See below.
Step-by-step explanation:
Hi there!
We want to find the equation of the line that has a slope (m) of 1 and that passes through the point (-10, -6)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeSince we are given both a point and a slope in this situation, it makes sense to write the equation in point-slope form.
Let's label the values of everything we were given to avoid confusion and mistakes:
m=1
[tex]x_1=-10\\y_1=-6[/tex]
Now substitute these values into the equation (note: we have NEGATIVE numbers, while the formula gives SUBTRACTION, which is why we're subtracting a negative)
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y--6=1(x--10)[/tex]
Simplify:
y+6=1(x+10)
The equation can be left as this, or it can be converted into slope-intercept form if you wish.
In that case, we would distribute 1 to each number on the right side.
y+6=x+10
Then, we'll isolate y on one side. Subtract 6 from both sides.
y=x+4
You can also convert it into standard form if you would prefer it that way. To do that, start with slope-intercept form, which we earlier found as y=x+4
In standard form, x and y are on the same side. So subtract x from both sides to move it
-x+y=4
Remember we don't want a (the coefficient in front of x) to be negative. In order to flip the sign, multiply both sides by -1
x-y=-4
Therefore, the answer can be written as y+6=1(x+10), y=x+4, or x-y=4.
Hope this helps!
Shamaya gave away 6 bags of chips. She now has 17 bags of chips left in her bag. How many bags of chips did she have originally?
Answer:
23
Step-by-step explanation:
She originally had 23 because if she gave away 6 bags of chips, she would have 17 left
-
17+6=23
double check answer:
23-6=17
Answer:
the answer is 23
Step-by-step explanation:
17+6=23
so she 23 bags of chips
100 points if u get this wrong ty!
Answer:
39 cm²Step-by-step explanation:
Area of trapezoid:
A = 1/2(b₁ + b₂)hSubstitute values:
A = 1/2(9 + 4)*6 = 39Answer:
39 cm²
Step-by-step explanation:
Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]
=> [tex](\frac{4 +9}{2}) 6[/tex]
=> [tex](\frac{13}{2} )6[/tex]
=> 13 x 3
=> 39 cm²
Hoped this helped.
write the phrase as a expression.
3 fewer than 8
Your answer should be 3 < 8
Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]
[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]
Step-by-step explanation:
3/(4(x+2)) = x/(x+2)
the common denominator would have to be 4(x+2).
to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.
and then we get
3/(4(x+2)) = (4x)/(4(x+2))
and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.
3 = 4x
and therefore we can solve
x = 3/4
and D is then the right answer choice.
In July, Clare rode her bike 15 miles in 72 minutes, at her constant speed. a How long did it take her to ride 10 miles? Show or explain your thinking.
Answer: x = 48 minutes
Step-by-step explanation:
15 miles/72 min = 0.208 miles/min
(0.208 miles/min)x = 10 miles
x = 48 minutes
About how many miles is 100,00 ft? HELP ASAP!
Answer:
18.939394miles
this is the correct answer happy
50 points and brainliest for first correct answer
Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?
Answer:
A(-3,2)B(3,7) and C(4,-4)
Step-by-step explanation:
these are the new coordinate
-8 - (-3) find the sum
Answer:
Step-by-step explanation:
rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)
Answer:
3.3m+1.4
Step-by-step explanation:
Multiply 5 and 0.9m
Multiply 5 and 0.5
5 times 0.9m is 4.5m
5 times 0.5 is 2.5
Multiply -3 and 0.4m
Multiply -3 and 0.7
-3 times 0.4m is -1.2m
-3 times -.7 is -2.1
4.5m+ 2.5 -1.2m-2.1
Which is 3.3m+1.4
Hope this helps!
does anyone like math in this world?
Answer:
i mean math is my second favorite subject
Step-by-step explanation:
A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?
Answer:
No, the ratio is a bit inconsistent.
Step-by-step explanation:
The relationship between 14 and 84 red beads is multiplying by 6.
The relationship between 19 and 133 gold beads is multiplying by 7.
Hope this helps,
A cheerful teen willing to help,
stay positively safe!
In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.
A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___
Answer:
a, b, and d
Step-by-step explanation: if you do the math you can find it
Find the value of x and thank for answer
Please help. Flow chart proof. I'll give brainliest
Answer:
Step-by-step explanation:
Help please just this whoever answers correctly I will mark brainliest
3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.
B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.
Answer:
10: (10×0.15)+3.50:$5
15: (15×0.15)+3.50:$5.75
20:(20×0.15)+3.50: $6.50
25:(25×0.15)+3.50: $7.25
Answer:
10 days: $5 fee
15 days: $5.75 fee
20 days: $6.5 fee
25 days: $7.25 fee
Step-by-step explanation:
General Formula
Total fee = 3.5 + days late x 0.15
------
Total fee for 10 days = 3.5 + 10*0.15 = 5
Total fee for 15 days = 3.5 + 15 * 0.15 = 5.75
Total fee for 20 days = 3.5 + 20 * 0.15 = 6.5
coordinates for the answers:
Since days is the x axis and y axis is the fee then
(10, 5)
(15, 5.75)
(20, 6.5)
(25, 7.25)
Find the highest common factor and lowest common factor of 78 and 130
Shown method would be great thankss :))
Answer:
The GCF is 26 and the least common factor is 390
Step-by-step explanation:
The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.
rewrite in simplest form
0.7k-5(-7k-4)
Answer:
Step-by-step explanation:
357k + 200
——————————
10
which one does not belong and justify your answer
Yellow
they all are in some sort of line except for yellow
14. Explain why a step in solving the equation 4n = -36 is to divide both sides by 4. Then
solve the equation.
Answer:
Because you cant combine unlike terms. And the goal is to get X by itself.
-9 is the answer
Step-by-step explanation:
What is the slope of this line?
Answer:
y= -3x -3
Step-by-step explanation:
HELP PLSSS ITS DUE TMRWW
Answer:
P=6
Step-by-step explanation:
okay so the problem states that this pentagon has one line of symmetry.
if you know that AE=4x, AB=2x+1, and Bc=x+2, then you know that CD=x+2, and DE=2x+1.
since you know the perimeter is 18 cm, you can make an equation to find x:
4x+2(2x+1)+2(x+2)=18
-->4x+4x+2+2x+4=18
-->10x+6=18
-->10x=12
-->x=1.2
P would be 6
A number b subtracted from seven is greater than eight. What is the sentence as an inequality?
Answer:
7 - b > 8
Step-by-step explanation:
Find x, the answer is 5 but how do I get it?
Answer:
x = 5
Observe the parallelograms inside the shape. Their sides correspond to half the big triangle.
Step-by-step explanation:
2x + (3x + 2) + (4x + 1) = 48
9x + 3 = 48
x = 5
Question 7 of 10
If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?
A. 1/3
B. 3/4
C. 3/8
D. 1/12
P(A n B) = P(A U B) - P(A) - P(B)
= 11/12 - 3/4 - 1/2
= (11 - 9 - 6)/12
= 4/12
= ⅓
A bacterial culture starts with 3000 bacteria and grows to a population of 12 000 after 3h. Determine the number of bacteria after 8 h.
Answer: 32000
Step-by-step explanation:
12000 divided by 3 =4000
4000 x 8 =32000
Geometry Homework, Please help with both questions
Similar figures are two or more given figures that have some common properties. The answers to the questions are;
14. m<WYZ = [tex]157^{o}[/tex]
15. m<ACB = [tex]87^{o}[/tex]
Two or more figures are said to be similar if they have some common properties. Note that similar figures may not be congruent.
Thus, the solutions to the questions can be determined as follows:
14. Comparing WYZ and VXYZ, we can deduce that:
<WYZ + <YVX = [tex]180^{o}[/tex] (sum of angles on a straight line))
So that;
(16x - 3) + (3x - 7) = [tex]180^{o}[/tex]
19x - 10 = [tex]180^{o}[/tex]
19x = [tex]190^{o}[/tex]
x = [tex]\frac{190}{19}[/tex]
= [tex]10^{o}[/tex]
Then,
m<WYZ = (16x - 3) = (16(10) -3)
= [tex]157^{o}[/tex]
The measure of angle WYZ is [tex]157^{o}[/tex].
15. (11x - 2) = (6x + 13) (similarity property)
11x - 6x = 13 + 2
5x = 15
x = 3
So that;
m<ABC = (6x + 13) = (6(3) + 13)
= [tex]31^{o}[/tex]
m<ABC = [tex]31^{o}[/tex]
But,
m<BAC + m<ABC + m<ACB = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]62^{o}[/tex] + [tex]31^{o}[/tex] + m<ACB = [tex]180^{o}[/tex]
m<ACB = [tex]180^{o}[/tex] - 93
= [tex]87^{o}[/tex]
m<ACB = [tex]87^{o}[/tex]
The measure of angle ACB is [tex]87^{o}[/tex].
Visit: https://brainly.com/question/18558845
Express as simply as possible with a rational denominator
1/2√3
Rationalise the denominator of 1/2√3
Detailed answer is in the image attached.
Hope it helps you....
Please mark as Brainlliest!!!
in which group males or females did a greater percentage use other modes of transport and by how much?
I think the answers here:-
dp201111.pdf
How would you write 12 as a Roman numeral?
Answer:
ⅠⅠⅩ
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.