I need help on nine and 10 instructions say to solve these equations by cross multiplying
Answers
Answer:
9. a = -1
10. b = 20
Step-by-step explanation:
The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.
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9.[tex]\dfrac{2a-5}{3a-4}=\dfrac{2a-3}{3a-2}\\\\(3a-2)(2a-5)=(3a-4)(2a-3)\qquad\text{"cross multiply"}\\\\6a^2 -19a +10=6a^2-17a+12\qquad\text{expand}\\\\-2=2a\qquad\text{add $19a-6a^2-12$}\\\\\boxed{a=-1}\qquad\text{divide by 2}[/tex]
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10.[tex]\dfrac{b-2}{b-6}=\dfrac{b+2}{b-4}\\\\(b-4)(b-2)=(b-6)(b+2)\qquad\text{"cross multiply"}\\\\b^2-6b+8=b^2-4b-12\qquad\text{expand}\\\\20=2b\qquad\text{add $6b+12-b^2$}\\\\\boxed{b=20}\qquad\text{divide by 2}[/tex]
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Additional comments
Here are the answer checks:
9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes
10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes
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Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.
Related Questions
Solve the triangle. Round to the nearest tenth.
In AABC, c = 9, b = 25, mZA = 113°
Answers
Answer:
28.5
Step-by-step explanation:
If you can add brainliest
Please
b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet
Answers
Answer:
168 sq
Np also you could've just searched it up
find the LCM of denominator 3/8 and 3/4
Answers
Answer:
Step-by-step explanation:
Actually, it is 8.
3/8: nothing need be done.
3/4: Multiply top and bottom of the fraction by 2.
3*2 / 4*2 = 6/8
So the lowest common multiple is 8.
The factions become 3/8 and 6/8
What is this transformation called?
Answers
Answer:
It is translation
the car stays the same when it moves from BLUE to B"L"U"E"
Step-by-step explanation:
if it was a rotation, the car would be upside-down in the final product.
if it was a reflection, the car would also be upside-down.
if it was a dilation the final product would be smaller.
This is how we know is a translation.
Help me please Anyone
Answers
Answer:
Step-by-step explanation:
How do you solve a rectangle word problem?
The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width. Given that, the area is 500 square feet and the width is 20 feet. So, substitute these values into the formula. Divide each side by 20 to isolate l .
What property is illustrated in the following statement? If DF= FG and FG=GH, then DF=GH. pls help
Answers
Answer:
Its a parallelogram
Step-by-step explanation:
Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.
Please answer number 2. I don’t understand I’m very stressed right now I need help please.
Answers
Answer:
Smaller
Step-by-step explanation:
Because 7/8 is less than 1 and the sides are smaller which makes the volume smaller
:thumbsup:
Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions
Answers
Answer:
2x^2+1=5-2x
2x^2+1-5+2x
2x^2-4+2x=0
x^2-2+x=0
x^2+x-2=0
(x+2)(x-1)
x1= -2
x2= 1
Answer:
[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]
Step-by-step explanation:
I hope this helps and have a good day!
I WILL GIVE BRAINLIEST 50 POINTS
Find x. Round your answer to the nearest tenth of a degree.
Answers
#b
[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]
[tex]\\ \rm\rightarrowtail b=21tan47[/tex]
[tex]\\ \rm\rightarrowtail b=22.5[/tex]
#c
[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]
[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]
[tex]\\ \rm\rightarrowtail c=30.88[/tex]
Answer:
c = 30.8 (nearest tenth)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 21b = 22.5Substitute given values into the formula and solve for c:
⇒ 21² + 22.5² = c²
⇒ 947.25 = c²
⇒ c = ±√(947.25)
⇒ c = ±30.8 (nearest tenth)
As distance is positive, c = 30.8 (nearest tenth) only
Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.
Answers
(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)
Round 194 pounds to 190 ; 177 to 180
In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.
if you answer correctly i will mark you brainliest
Answers
Answer:
200
Step-by-step explanation:
main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.
An settler on Mars measures the angle between the star Sero and the star Vega 3 to
be 22.4". If the Mars is approximately 93 million light years from the Sero and Vega 3
is approximately 67 million light years from the Sero (as measured by intergalactic
travelers), how far away is Vega 3 from the Mars?
Answers
The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years
How to determine the distance between Vega 3 and the Mars?From the question, we have the following parameters
Angle between Sero and Vega, Ф = 22.4Distance between Mars and Sero, MS = 93 millionDistance between Vega and Sero, VS = 67 millionSee attachment for the illustration of the given parameters.
The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function
VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)
This gives
4489 = 8649+ MV² - 171.96MV
Subtract 8649 from both sides
MV² - 171.96MV = -4160
Rewrite as:
MV² - 171.96MV + 4160 = 0
Using a graphing tool, we have:
MV = 29.1 and MV = 142.8
Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years
Read more about distance at:
https://brainly.com/question/16485848
which angles are congruent in the isosceles triangle
Answers
pleas help!!! no links! According to the line plot, what is the total distance run by the runners that each ran 1/5 of a mile and 1/2 of a mile?
1 3/10 miles
1 7/10 miles
4 miles
1 1/2 miles
Answers
17/10 miles
1/5*1+1/2*3=3/2+14/10=17/10
Answer:
1/5+3/2=2/10+15/10=17/10
Please answer everything that at asks in the image above. this is very important and I need help.
Answers
Answer:
Step-by-step explanation:
A line passes through the point (4,1) and has a slope of 5/4
Write an equation in slope-intercept form for this line.
Please help
Answers
5/4 is the slope but to pass through the point it needs to cross the y axis at -4
You and your friend are sharing three eighths of a bag of candy. How much of the bag will each of you get if you share it evenly?
Answers
Answer:
3/16
Step-by-step explanation:
3/8 / 2 = 3/16
Therefore you and your friend will each get 3/16.
please help. 50 points on the line
Answers
Answer:some where from 65-75 feet
Step-by-step explanation:
In circle K with \text{m} \angle JKL= 82^{\circ}m∠JKL=82 ∘ , find the angle measure of minor arc \stackrel{\Large \frown}{JL}. JL⌢ .
Answers
Answer:
M< JKL = 82°Solution: UP
The angle measure of the minor arc JL equals 82°.
What is Arc of a Circle?An arc of a circle is defined as the part of the boundary of a circle. The straight line drawn joining the two end points of the arc is called chord of the circle.
If we mark any two points on the circle, by joining those points along the circle, we get two arcs. The smaller arc is called the minor arc and the longer arc is called the major arc. If the length of the arc exactly equals the half length of the circle, then the arc is called semicircular arc.
An arc can be measured in two ways : By finding the measure of the angle of arc and finding the length of the arc.
Here we are asked to find the measure of the minor arc which is the measure of the angle of the arc JL.
Measure of the angle of the arc equals the angle formed at the center of the circle by joining the end points of the arc to the center of the circle.
We have ∠JKL = 82°
∴ measure of arc JL = 82°
Hence, the measure of the minor arc JL equals 82°.
To learn more about Arc of the Circle, click:
https://brainly.com/question/18741430
#SPJ2
WILL GIVE BRAINLIEST. Which of the following points is shown in the graph below?
(-1,5,3)
(1,5,3)
(1,5,-3) (1,-5,3)
Answers
Answer:
( -1, 5, 3 )
Step-by-step explanation:
First check the point on the X-axis and then match it on the Y-axis.
Answer:
A. (-1, 5, 3)
Step-by-step explanation:
Go step by step, (x, y, z) just like the alphabet. now that you know the order plug in those numbers where they belong. now you can find that (-1, 5, 3) is the only point the places directly on the grid (:
Select the correct answer.
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
A.
A′(-3, 3), B′(-1, 1), C′(-2, 3)
B.
A′(3, -3), B′(1, -1), C′(2, -3)
C.
A′(3, -5), B′(1, -7), C′(3, -5)
D.
A′(-3, 3), B′(-1, 1), C′(-2, -3)
Answers
Answer:
The correct to the question about is simply C. A is ruled out because it doesn't represent refections
Find the values of the variables.
31
W
Х
V
у
68°
Z
Answers
Answer:
X=121, y=59, w=59, z=53
Step-by-step explanation:
To find w, we know that the interior angles of a triangle are 180°. Thus ↓
180-31-90=59
For y, we know that y and w are opposite angles. Therefore, y = w = 59.
To find x, we know that there is a one straight line, so therefore we use ↓
180-59=121
Lastly, to find z, we know that the interior angles of a triangle are 180°. Thus ↓
180-59-68=53
I've attached a photo for better understanding. Hope this helps =)
Translating a phrase into a two-step expression
Translate this phrase into an algebraic expression.
Two more than the product of 17 and a number
Answers
Answer:
(17xa)+2
Step-by-step explanation:
Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football
Answers
I believe the answer is football.
Find the median of the data in the box plot below.
dollars
Cost of each lunch for the month (in dollars)
8
9
10
7
4.
5
6
Сл
Report a problem
Stuck? Review related articles/videos or use a hint.
Answers
4,5,6,7,8,9,10
Then you can find the one in the middle. In this case it’s 7.
a triangular sail with a height of 6 feet has a base that is 9 feet long what is the area of the sail
Answers
Answer:
54 I think
Step-by-step explanation:
you multiply the width times the length and that’s the area
hope this helps!
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answers
9^2-4^2•radical 2^2
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answers
Answer:
5.946
Step-by-step explanation:
The pythogorean theorem states that a^2+b^2=c^2.
We are given the hypotenuse, c, and a side length.
3.5^2+b^2=6.9^2
12.25+b^2=47.61
b^2=35.36
b=5.9464...., rounded to 5.946
The principal at mcdermott middle school is planning to survey students at his school, but only wants the survey to contain statistical questions. the following list contains survey questions that he is considering.
determine whether each question is a statistical question. type "yes" or "no" to indicate whether or not it is a statistical question.
what is the school's mascot?
how many minutes long is third period?
how many clubs do you participate in?
how many electives do you want to take next year?
Answers
what is the school's mascot? no
how many minutes long is third period? no
how many clubs do you participate in? yes
how many electives do you want to take next year? yes
Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answers
Answer:
Step-by-step explanation:
6^2+B^2=3^2X5
36+b^2=9x5
b^2=9
b=3