Answer:
X = -7 and y = -7.5
Step-by-step explanation:
Use substitution. Let’s try to get x by itself in the second question since it seems easier.
-4x + 4y = -2
-4x = -2 -4y
x = 1/2 + y
Subsitute that into the other equation for y.
4x -2y = -13
4(1/2 + y) - 2y = -13
2 + 4y -2y = -13 # Use the distributive property
2y = -15 # put together like terms
y = -7.5
Then plug it into the x formula
x = .5 -7.5
x = -7
Answer:
The solution is (-7, -7 1/2)
Step-by-step explanation:
4x – 2y = –13
–4x + 4y = –2
-------------------------
2y = -15, and so y = -7 1/2.
Now find x. If y = -7 1/2, then, from the first equation, we get
4x - 2(-7 1/2) = -13, or
4x + 15 = -13, or
4x = -28, or x = -7
The solution is (-7, -7 1/2).
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
vertex form: y = (x + 1)² - 3 the vertex is minimum coordinates of the vertex: (-1, -3)Step-by-step explanation:
[tex]y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}[/tex]
a = 1 > 0 ← it means the parabla opens up, so, the vertex is minimum
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 1)² - 3 the vertex is: (-1, -3)
The perimeter of a rectangle is 54cm. If the length of rectangle is 18cm,find its area
Answer:
162cm squared
Step-by-step explanation:
The perimeter of a rectangle can be calculated by length+length+width+width.
We know the length is 18, so our equation of finding the width is:
54-(18*2) divided by 2.
54-36=18.
18/2=9.
The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.
18*9=162
Are 0.34 and 3/4 equivalent? Explain your answer in complete sentences.
Answer:
No because 3/4 is equal to 0.75 and 0.75 is not equal to 0.34
Step-by-step explanation:
Answer:
No. 3/4 is equavilent to 0.75 not 0.34.
Which number will have the same result, when rounded to the nearest hundred or thousand? (3-5) A 1,049 B 1,118 and 5 C 1,179 D 2,149
Answer:
The answer is "Option A".
Step-by-step explanation:
In this question except for choice "A", all the value is not nearest about the hundred or thousand, that why the correct answer is "1,049".
What is BC? Enter your answer in the box. BC=
Answer:
25
Step-by-step explanation:
4x+4=6x-14
2x=18
x=9
2×9+7=25
The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches. a). Taller than 64 inches b.) shorter than 62 inches c.) between 64 inches and 68 inches d.) between 58 and 68 inches e.) taller than 58 inches
Answer:
a) 0.59871
b) 0.22663
e) 0.95994
Step-by-step explanation:
The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 65 inches
σ is the population standard deviation = 4 inches
a). Taller than 64 inches
This means x > 64
Hence,
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x<64) = 0.40129
P(x>64) = 1 - P(x<64) = 0.59871
b.) shorter than 62 inches
Hence,
62 - 65/4
=- 3/4 =- 0.75
P-value from Z-Table:
P(x<62) = 0.22663
c.) between 64 inches and 68 inches
Hence,
for 64 inches
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x = 64) = 0.40129
For 68 inches
Hence,
68 - 65/4
= 3/4= 0.75
P-value from Z-Table:
P(x = 68) = 0.77337
d.) between 58 and 68 inches
e.) taller than 58 inches
Hence,
58 - 65/4
= -6/4 = -1.5
P-value from Z-Table:
P(x<58) = 0.040059
P(x>58) = 1 - P(x<58) = 0.95994
find the y intercept of y=4x-2
Answer:
y intercept: -2
Step-by-step explanation:
hope this helps :)
Answer:
Slope=4 and the intercept on the y-axis is -2
Step-by-step explanation:
Use the formula y=mx+c
m=slope
c is the intercept on the y-axis
y=4x-2 can be like this
Y=4x+(-2)
That is why slope is 4 and intercept on y-axis is -2
:)
Which point has coordinates (0, -1) ?
Please help asappp !! I will give 20 points
Answer:
Point E
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
You don't move on the x axis, so no side to side movement.
You do move on the y axis, but only down 1.
D is the only one that can work.
Round off 5698 and 8236to the nearest tens.After rounding them off, add them. Then, Round off the sum to the nearest hundred. What do you get?
Answer:
13900
Step-by-step explanation:
Round off 5698 to it nearest tens
5700
Then Round off 8236 to its nearest tens
8240
Add up 5700 + 8240 = 13940
Round off 13940 to its nearest hundred
13900
Rose is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 8 meters away from the hook.
The question is incomplete, as the depth of the hook isn't given in the question. However, using a proposed depth for the hook, we could give a stepwise solution to the exercise.
Answer:
Kindly check explanation
Step-by-step explanation:
If given a hook depth of 6 meters, and a distance of 8 m(fishing line from hook) at the the Same depth, then the distance between rose and the fish, x can be calculated, using the relation.
Hypotenus² = opposite² + adjacent²
(refer to attached picture)
x² = 6² + 8²
x² = 36 +. 64
x² = 100
x = sqrt(100)
x = 10 meters
You can use the actual depth value to obtain the actual solution to your question.
A farmer had 640 bag of maize each having a mass of 120kg .After drying the maize, the mass decreased in the ratio 15:16.calculate the total mass lost after the maize was dried?
Answer:
72,000kg
Step-by-step explanation:
So, we know that there are 640 bags.
Each bag has a mass of 120kg.
The mass shrinks at a ration of 15:16
So, we can think of the total mass as 120x640:
120*640
=
76,800kg
Next, we can think of the dried mass as 15/16 of the 76,800kg. This is because the dried ration was 15, and the orgninal ration was 16:
76,800/16
=
4,800kg
This isnt our end answer, next we have to multiply this by 15, to find the dried ration:
4,800*15
=
72,000kg
Hope this helps!
there are 40 questions in the test Jane got 6/8 of the questions correct Jim got 20 more wrong answers than Jane did how many correct answers the gem get
Step-by-step explanation:
[tex] \frac{6}{8} \times 40 = 30 \\ jane \: got \: 30 \: questions \: correctly \\ that \: means \: that \: jim \: got \: 30questions \: wrong \\ therefore \: the \: questions \: he \: got \: right \: is \: 40 - 30 = 10[/tex]
Kias mom is having triplets. Each baby could either be male or female. Which outcome would be included in the compound event "more than one female"
Answer:
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF
Step-by-step explanation:
Given - Kias mom is having triplets. Each baby could either be male or female.
To find - Which outcome would be included in the compound event "more than one female"
Solution -
The sample space outcomes are -
{MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
Now,
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF
Solve the systems algebraically please help :(
Answer:
I don't really know but I will help you if I can
plzz help asap, I'll mark you the brainliest if you tell me how to solve this with step by step explanation ❤❤
if x+y+z=1 and 1/x+1/y+1/z=0
what is x²+y²+z²=?
A) 0
B) 1
C) 2
D) 3
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] + [tex]\frac{1}{z}[/tex] = 0 , then
[tex]\frac{yz+zx+xy}{xyz}[/tex] = 0 , so
yz + zx + xy = 0
Now
(x + y + z)² = x² + y² + z² + 2(xy + yz + zx) , that is
1² = x² + y² + z² + 2(0) , thus
x² + y² + z² = 1
In the diagram below, AB = 15, DB = 6, BC = 8, and
mZB = 90°. What is the perimeter of triangle ADC?
Answer:
B 36
Step-by-step explanation:
DC^2=6^2+8^2. AD=9cm DB=6cm
DC^2=36+64
DC^2=100
DC=√100
DC=10cm
AC^2=15^2+8^2
AC^2=225+64
AC^2=289
AC=√289
AC=17
P OF TRIANGLE ADC=10+9+17
=36cm
Mhanifa please help! This is due soon
Answer:
1) x²=256-64
x=8√3
2). x²=200+81
x=√281
3). x²=169+36
x=√205
3).
Step-by-step explanation:
here's your solution
==> in figure 1,
= perpendicular^2 = hypotenuse^2 - base^2
= x^2 = 16^2 - 8^2
= x^2 = 256 - 64
= x^2 = 192
= x = √192
= x = 13.85
==> in figure 2,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 40^2 + 9^2
= x^2 = 1600 + 81
= x^2 = 1681
= x = √1681
= x = 41
==> in figure 3,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 13^2 + 6^2
= x^2 = 169 + 36
= x^2 = 205
= x = √205
= x = 14.31
[tex]hope \: it \: helps.....[/tex]
I need help on this question: Triangle ABC is similar to triangle XYZ. What is the length of AC in inches?
Answer: 3√13
Step-by-step explanation:
To find the length of AC we need to use the Pythagorean theorem.
Which is AC^2 = BC^2 + AB^2
AC^2 = 6^2 + 9^2
AC^2 = 36 + 81
AC^2 = 117
AC = √117
The half-life of radium is 1620 years. If a laboratory has 12 grams of radium, how long will it take before it has 8 grams of radium left?
a 947.6 years
b 804.3 years
c 797.5 years
d 849.5 years
Step-by-step explanation:
A = A02^(-t/hl) ---> ln(A/A0) = -(t/hl)ln2
solving for t,
t = -(hl)ln(A/A0)/ln2
= -(1620 yrs)×ln(8/12)/ln2
= 947.6 yrs
974.6 years It will take before it has 8 grams of radium left,
Given that,
The half-life of radium is 1620 years
Laboratory has 12 grams of radium,
We have to determine,
How long will it take before it has 8 grams of radium left.
According to the question,
Laboratory has radium = 12 grams
Left radium = 8 grams
Half life of radium [tex]_t_\frac{1}{2}[/tex] = 1620 years.
[tex]N = N_o [\frac{1}{2}]^{n} \\\\8 = 12 [\frac{1}{2}] ^{n}\\\\\frac{8}{12} } =[ \frac{1}{2} ]^{n}\\\\ log2 - log3 = n( log1 - log2)\\\\0.30-0.47 = n (0 - 0.30)\\\\-0.17 = -0.30 n\\\\n = 0.56[/tex]
It will take before it has 8 grams of radium left,
[tex]t = n \times t_\frac{1}{2} \\\\t = 0.56 \times 1620\\\\t = 974.6 \ years[/tex]
Hence, 974.6 years It will take before it has 8 grams of radium left,
For more information about Half life click the link given below.
https://brainly.com/question/24710827
In the diagram below of triangle HIJ, K is
the midpoint of H J and L is the midpoint of
IJ. If KL= -3.2 + 39, and
HI = 6x + 18, what is the measure of HI?
Answer:
HI = 48 units
Step-by-step explanation:
By midpoint theorem,
"Line segment joining midpoints of two sides of a triangle measures the half of the third side of a triangle."
Since, KL is the segment joining midpoints of JH and JI,
[tex]KL = \frac{1}{2}(HI)[/tex]
-3x + 39 = [tex]\frac{1}{2}(6x + 18)[/tex]
-3x + 39 = 3x + 9
6x = 30
x = 5
Therefore, HI = 6x + 18
= 6(5) + 18
= 30 + 18
= 48
You are building an entertainment center for a television. You need to
know the width, height, and diagonal of the
television. The width of the television is 36 inches. The length of the
diagonal of the television is 45 inches. Determine the
height of the television.
Homework please help
Answer:
A
Step-by-step explanation:
[tex]y = \frac{9}{4}x - 8 \\\\y = \frac{9}{4}x +\frac{9}{4} \\\\\frac{9}{4}x - 8 = \frac{9}{4}x +\frac{9}{4}\\\\-8 = \frac{9}{4}\\[/tex]
This equation is incorrect, therefore there are no solutions.
FINAL QUESTION WILL GIVE BRAINLIEST TO CORRECT ANSWER!!! PLEASE SHOW WORK!!
Answer:
(-1,-6)
Step-by-step explanation:
Emily invested $2,000 in an account at a 3.5% interest rate. She kept the money in her account for four years. Determine, to the nearest dollar, the balance in the account after four years.
Answer:
$280
Step-by-step explanation:
$2000 * 3.5% * 4 = $8000 * 0.035 = $280
CAN SOMEONE HELP ME PLEASE!!! I WILL GIVE THE BRAINIEST AND 100 POINTS!!!
Step-by-step explanation:
the length of hypotenuse =
√(21²+28²) = √(441+784)
= √1225
= 35 yd
the perimeter of triangle =
21+28+35 = 84 yd
the area of triangle =
½×21×28 = 294 yd²
Answer: 35 yd
Step-by-step explanation:
28^2+21^2=1225
√1225
=35
What is the distance between the following points
Answer:
The answer is the last option
Square root 8
Step-by-step explanation:
which two angles named below are supplementary in the figure? ill give brainliest
Answer:
D. Angles 4 and 7
Step-by-step explanation:
Answer 1 and 4 are supplementary angles.
Step-by-step explanation:
Supplementary angles are angles adding up to 180, the only angles listed that are supplementary angles is 1 and 4.
Have a good day!
Alex draws a diagonal in a rectangle that is 4 inches long and 3 inches wide. What is the area of one of two triangles that are formed?
Answer:
3.975 square inches
Step-by-step explanation:
Step 1
We find the length of the triangle
We solve using Pythagoras Theorem
Diagonal² = Length² + Width²
Diagonal = 4 inches
Width = 3 inches
Length² = Diagonal² - Width²
Length = √Diagonal² - Width²
Length = √4² - 3²
Length = √16 - 9
Length = √(7)
Length = 2.6457513111 inches
Length = 2.65 inches
Step 2
Area of Triangle = 1/2 × Base × Height
Base = Length = 2.65 inches
Height = Width = 3 inches
=1/2 × 2.65 inches × 3 inches
= 3.975 square inches
Therefore, the area of one of the triangles that are formed is 3.975 square inches
Find the value of x...........
Answer:
x = 7°
Step-by-step explanation:
(8x + 6)° + 118° = 180°
8x = 56°
x = 7°
A magazine rack contains 5 sports magazines, 7 news magazines, and 10 fashion magazines. After a magazine is chosen, it is not replaced. Find the probability of randomly choosing two fashion magazines.