Answer:
Step-by-step explanation:
This is an isosceles triangle because 2 of the sides are the same length (marked with single slashed through them). The Isosceles Triangle Theorem tells that if 2 sides are congruent to each other, then the angles opposite those sides are congruent to each other as well. That means that the bottom left angle measures 68. According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180, so:
x = 180 - 68 - 68 so
x = 44
estimate the solution to the following system of equations by graphing.
3x+5y=14
6x-4y=9
A. ( 4/3,5/2)
B. ( 7/3, -7/2 )
C. ( -5/2, -7/2)
D. (5/2, 4/3)
Answer:
(101/42, 19/14)
Step-by-step explanation:
Given the following equations
3x+5y=14 ..... 1 * 2
6x-4y=9 ... 2 * 1
__________________
6x+10y=28
6x-4y=9
Subtract
10y+4y = 28 - 9
14y = 19
y = 19/14
Get the value of x
Since 3x+5y = 14
3x+5(19/14) = 14
3x + 95/14 = 14
3x = 14 - 95/14
3x = 101/14
42x = 101
x = 101/42
Hence the solution is (101/42, 19/14)
On a coordinate plane, a line goes through (negative 3, negative 4) and (3, 0).
What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?
The slope is Negative three-halves and contains the point (0, 2).
The slope is Negative two-thirds and contains the point (0, −2).
The slope is Three-halves and contains the point (0, 2).
The slope is Negative three-halves and contains the point (0, −2
Answer:
The slope is Negative three-halves and contains the point (0, 2).
Step-by-step explanation:
(-3,-4)(3,0)
M= -4/-6 = 2/3
⊥M = -3/2
0 = 2/3(3) + B
B=2
3 questions only pls help gota finish tofday
5a) 3x3x13
b) 3x7x7
c)11x5x2x2
d)3x3x3x5x2
6a)2x2x2x131
7a)5x5x2x2
b) 3x2x17
c)5x2x2x2x2x2x2
d)5x5x5x3
e) 2x2x103
f)5x3x137
g) 2x2x2x2x2x2x2x2x2
h)5x5x7x7x3
Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table for ingredients C and Y for the given number of servings
Answer:
The last table (the bottom one)
Step-by-step explanation:
The ingredients having the same ratio means that, for every number of servings, we should have:
Y/X = constant.
So, for the first table when we have 1 serving, the quotient is:
Y/X = 2/1 = 2
when we have two servings:
Y/X = 3/2 = 1.5
The ratios are different.
Then this is not the correct option.
For the second table, when we have 1 serving the ratio is:
Y/X = 2/1 = 2
when we have two servings:
Y/X = 4/2 = 2
when we have 3 servings:
Y/X = 8/3 = 2.66
This is not the correct option.
For the third table:
1 serving:
Y/X = 2/1 = 2
2 sevings
Y/X = 3/2 = 1.5
This is not the correct option.
fourth table:
1 serving:
Y/X = 2/1 = 2
2 servings
Y/X = 4/2 = 2
3 servings
Y/X = 8/4 = 2
Here we can see that the ratio is always the same, then the ratio remains constant.
This is the table that shows a possible ratio for ingredients X and Y,
Solve for x. Round to the nearest tenth, if necessary.
Answer:
11.3
Step-by-step explanation:
first we find angle F.
remember, all angles in a triangle always sum up to 180 degrees.
so,
F = 180 - 90 - 61 = 29 degrees
now we use the law of sines.
EF/sin(D) = ED/sin(F) = DF/sin(E)
DF = x
sin(E) = sin(90) = 1
5.5/sin(29) = x/1 = x
x = 11.3
One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs of the triangle.
Answer: 21, 28
Step-by-step explanation:
Side #1 = xSide #2 = x + 7Hypotenuse = 35Use the Pythagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]:
a = xb = x + 7c = 35Substitute in the values & solve:
[tex]x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21[/tex]
-28 is not a possible solution since you can't have negative inches...
a = x = 21b = x + 7 = 21 + 7 = 28c = 35what is the length of segment DC? no links.
Answer:
33 units
Step-by-step explanation:
AB = BC
2x + 7 = 23
2x = 16
x = 8
DC = DA
DC = 4x + 1
DC = 4(8) + 1
DC = 33
Please help. I don’t understand I rlly appreciate it if you help!
Hi there!
We know that the angles ∠B and ∠A are supplementary because they are both interior angles. Therefore:
180 = ∠A + ∠B
Rewrite:
180 = (6x - 48) + (4x + 38)
Combine like terms:
180 = 10x - 10
Solve for x:
190 = 10x
x = 19
Solve for ∠B by plugging in this value of x:
∠B = 4(19) + 38
∠B = 76 + 38
∠B = 114
Please help me with this one I seriously suck at math
Answer:
194
Step-by-step explanation:
Rectangles :
7 x 10 = 70
6 x 10 = 60
4 x 10 = 40
Triangles
[tex]\frac{6x4}{2}[/tex] = 12 (two of them = 24)
70 + 60 + 40 + 24 = 194
What is the equation of the line??
I NEED ANSWERS NOW PLEASEEEEE
for 20 points pls people help me out
Answer:
x = 0
Step-by-step explanation:
This is a vertical line, in fact the y- axis
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line passes through
All of the x- coordinates on the y- axis are zero, then
x = 0 ← equation of line
Twenty of the 50 digital video recorders (DVRS) in an inventory are known to be detective What is the probability that a randomly selected item is defective?
Answer:
3/5
Step-by-step explanation:
Remember that odds for plus odds against must be 1. Therefore, 20 out of 50 of the DVRs are defective, so 30 out of 50 would work.
30/50
simplifies into 3/5 so that would be the probability of you picking out a DVR that works, and the probability of picking one that does not work would be the leftover 2/5 . Or, if you're answering with a percent, you would have a 60% chance of picking a working DVR.
I hope this helps, I know the explanation isn't really clear, but I can't really think of another way to explain it.
8^5 = 2^2m+3
Solve m
Answer:
[tex]m=6[/tex]
Step-by-step explanation:
Exponent properties:
We can use exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex] to solve this problem.
Rewrite [tex]8[/tex] as [tex]2^3[/tex], then apply exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex] to simplify:
[tex]2^{3^5}=2^{2m+3},\\2^{15}=2^{2m+3}[/tex]
If [tex]a^b=a^c[/tex], then [tex]b=c[/tex], because of log property [tex]\log a^b=b\log a[/tex]. Using this log property, you can take the log of both sides and divide by [tex]\log a[/tex] to get [tex]b=c[/tex]
Therefore, we have:
[tex]15=2m+3[/tex]
Subtract 3 from both sides:
[tex]12=2m[/tex]
Divide both sides by 6:
[tex]m=\frac{12}{2}=\boxed{6}[/tex]
Alternative:
Given [tex]8^5=2^{2m+3}[/tex], to move the exponent down, we'll use log properties.
Start by simplifying:
[tex]\log 32,768=2^{2m+3}[/tex]
Take the log of both sides, then use log property [tex]\log a^b=b\log a[/tex] to move the exponent down:
[tex]\log(32,768)=\log 2^{2m+3},\\\log (32,768)=(2m+3)\log 2[/tex]
Divide both sides by [tex]\log2[/tex]:
[tex]2m+3=\frac{\log (32,768)}{\log(2)}[/tex]
Subtract 3 from both sides:
[tex]2m=\frac{\log (32,768)}{\log(2)}-3[/tex]
Divide both sides by 2:
[tex]m=\frac{\log (32,768)}{2\log(2)}-\frac{3}{2}=\boxed{6}[/tex]
WILL GIVE BRAINLIEST AND 50 POINTS!
Determine the more basic function that has been shifted, reflected, stretched, or compressed.
m(x)= 2√x-5 -2
Answer: The function M if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.
M(x)=43x32−7x+C
Step-by-step explanation: not 100 about this but it's what I got
one more question
(-8)+___=-17
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-8 +___= - 17
___=-17 +8
___=-9
=-9
Identify a horizontal or vertical stretch or compression of the function by observing the equation of the function .
Please Help!!!
Find a value for C that will give the following system no solution:
3x-2y=3
6x+cy=4
Answer:
c = - 4
Step-by-step explanation:
Nothing else matters except that the number associated with the y value in equation one = 1 and the number in front of x is known in equation 1. Then we'll get around to looking at c
Add 2y to both sides of equation 1 (the top equation)
3x - 2y + 2y = 3 + 2y
3x = 2y + 3
Now divide both sides of the equation by 2
3x/2 = y + 3/2
What's in front of x? It is (3/2)
So divide both sides of 6x + cy = 4 by c
6x/c + y = 4/c
Now put 6x/c on the right hand side so y is by itself.
y = -6x/c + 4/c
What do you have to do now?
You must equate -6x/c = 3/2x
Why?
The slopes have to be the same so the lines are parallel and never cross. That will give no solutions.
-6x/c = 3x / 2 Divide both sides by x
-6/c = 3/2 Cross multiply
3c = - 6 * 2 Combine
3c = - 12 Divide by 3
c = - 12/3
c = - 4
are cans of bottles packaged at a faster rate
Answer:
yes.. they are
Step-by-step explanation:
because
sue has 18 pieces of candy
tony has 18 pieces of candy
sue then gives some to tony
sue then eats five of hers
tony eats half of his
write the expressions for the number of pieces candy sue and tony now have?
Answer:
Sue candy = 13 - x
Tony candy = 9 + 1/2x
Step-by-step explanation:
Sue candy = 18
Tony candy = 18
Let x = some candy gives to tony
Sue candy = 18 - x
Tony candy = 18 + x
sue then eats five of hers
Sue candy = 18 - x - 5
= 13 - x
tony eats half of his
Tony candy = 1/2(18 + x)
= 18/2 + x/2
= 9 + 1/2x
Expressions for the number of pieces candy sue and tony now have:
Sue candy = 13 - x
Tony candy = 9 + 1/2x
Drag the operator to the correct location on the image.
Which operation results in a binomial?
The correct answer is to drag The Plus sign (+)
What is an Operator?This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.
Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.
Read more about operators here:
https://brainly.com/question/25974538
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Answer:.
Step-by-step explanation:
Given circle O below, if arc AB and arc CD are congruent, what is the measure of angle COD?
Answer:
C. 70°The measure of angle CODStep-by-step explanation:
hope it helps
what are the ex and Y coordinates of point E, which partition the directed line segment from A to B into a ratio of 1:2?
Answer:
Step-by-step explanation:
The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:
[tex]x=\frac{bx_1+ax_2}{a+b}[/tex] and [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:
[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and then y:
[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]
The coordinates of point E, then, are (0, 1).
Answer:
(-1,3)
Step-by-step explanation:
Mathematically, what we have to do here is to get the coordinates of the midpoint of the line AB
we have this as;
(x,y) = (x1 + y1)/2, (y1 + y2)/2
(x,y) = (-4+2)/2, (9-3)/2 = (-1, 3)
if f(x) = 2x/7 +4, which of the following is the inverse of f(x)?
Answer:
The answer is C
Step-by-step explanation:
Switch x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Solve for y
[tex]y = \frac{7(x - 4)}{2} [/tex]
someone help me for this algebra task please
Answer:
200
Step-by-step explanation:
Substitute 15 for y
[tex] \frac{1}{5} x - \frac{2}{3} (15) = 30[/tex]
[tex] \frac{1}{5} x - 10 = 30[/tex]
[tex] \frac{1}{5} x = 40[/tex]
[tex]x = 200[/tex]
Jaylee bought a pair of shoes and are seems to receive some below from the store she's trying to figure out the sales tax rate that she paid for the shoes she sets up the equation one point two equals k times 28.62 and found that the sales tax rate is approximately 5.7% explain the error Jerry Lee made right the equation you could use to solve and find the correct sales tax rate
Answer:
28.62*0.057=1.63134
so about 1.63
Hope This Helps!!!
Someone help me with this math homework please!
Answer:
Option number B
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
Given the equation as:
7h - 5 ( 3h -8 ) = -72
Using distributive property,
a ⋅ ( b + c ) = a ⋅ b + a ⋅ c
7h - 15h + 40 = - 72
Combine like terms;
-8h + 40 = -72
Subtract 40 from both sides we have;
-8h 8= -112
Divide both sides by -8 we have;
h = 14 hours
Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.
What is the slope of the line? What is the y-intercept of the line? y = -3x + 4
Answer:
slope= -3/1
y-intercept= 4
Answer:
m = -3
y intercept = 4
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = -3x+4[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = -3 [/tex]
[tex]\implies y - intercept= 4 [/tex]
Solve. Algebra 1
14=4-6x-2
Answer:
Step-by-step explanation:
resolver. Álgebra 1
14=4-6x-2
4-6x-2 : 2
Rpta: 2
t=29pi/6
1. find the reference number
2. find the point on the unit circle
3. 6 trig functiond
Hermes says that the opposite of 9 is 9 since
each number is 9 units from zero on the number line. Is Hermes correct?
Explain why or why not
Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
To find the same distance away from zero in the opposite direction to determine the opposite number.
The distance from zero in this situation is 9. nine times in the opposite direction from zero.
Thus, Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.
Learn more about the number line here:
brainly.com/question/13189025
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A number ending in ___ is never a perfect square.
Answer:
2, 3, 7 or 8
Step-by-step explanation: