Answer:
(2,6) and (-1,3)
Step-by-step explanation:
Hi there!
We're given the system of equations:
y=x+4
y=x²+2
and we need to solve the system
You may first notice that both equations are equal to y, so we can set them to equal each other via a property known as transitivity (if a=b and b=c, then a=c)
x²+2=x+4
subtract x from both sides
x²-x+2=4
subtract 4 from both sides
x²-x-2=0
we can factor the polynomial
the numbers that add up to -1 and multiply to get -2 are -2 and 1
(x-2)(x+1)=0
solve
x=2, x=-1
both values of x work- so we'll have 2 solutions in this case
now we need to solve for y; we can do this by substituting the value of x into one of the equations to solve for y
let's use y=x+4
so if we'll use x=2,
y=2+4
y=6
one solution will be (2,6)
and if we use x=-1
y=-1+4
y=3
and the other will be (-1,3)
Hope this helps! :)
Can someone’s please help
Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let b ft be the height of the blue △.
sin 60° = [tex]\frac{b}{25} [/tex]
b = 25 sin 60°
Let r ft be the height of the red △.
tan 40° = [tex] \frac{r}{20} [/tex]
r = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
If JK is formed by J(-7,-8) & K(1,4), determine if L(-9,5), lies on the perpendicular bisector.
Part A: What elements do you you need to know to confirm that Point L is on the perpendicular bisector of JK?
Part B: Find the elements you described in Part A , explain your work.
Part C: Verify if Point L is on the perpendicular bisector of JK. Justify your conclusion.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Bisector Theorem: When a point has been on the perpendicular bisector of a segment, the perpendicular bisector is equivalent towards the segment endpoints. They understand that conversation also valid in addition to the Theorem including its perpendicular bisector. So the distance b/w L and J, L, and k must be found. Examine it then.
For point b:
Calculating the distance among two point:
[tex]d_0 = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}[/tex]
Calculating the distance among J and L
[tex]d_1 = \sqrt{((-9)-(-7))^2 + (5)-(-8))^2}[/tex]
[tex]=\sqrt{(-2)^2+(13)^2}\\\\ = \sqrt{173}[/tex]
Calculating the distance among K and L
[tex]d_2 = \sqrt{((-9)-(1))^2 + (5)-(4))^2}[/tex]
[tex]=\sqrt{(10)^2+(1)^2}\\ = \sqrt{101}[/tex]
For point c:
As these two distances are not equal, L doesn't really lie on the JK bisector.
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Answer:
~~~~~~~~~~~~~~~~~~~~~~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~
Step-by-step explanation:
answer 1 or answer 2?
Answer:
2 Function B
Step-by-step explanation:
Answer:
Function B is greater
Step-by-step explanation:
The gradient of Function B is of 3 = m
Though the gradient of Function A is of 1 = m, obviously being of the smaller size
If you didn't know, gradient is the same as the slope
Hope this helps
What is the midpoint of a line segment with endpoints at (-1,-1) and (3,3)?
A married couple filing jointly with a taxable income of $240,000 and a $7000 tax credit. The tax owed is?
Answer:
247000 ?
Step-by-step explanation:
If I understand this right then that should be the answer. I added 240000 and 7000
PLEAZSEE HELP MEEEJEHSHD
Answer:
First gap:
√1000/16
= 8 seconds
Second gap:
Rearrange formula:
√d = 4t
40=√d
d = 6 meters.
Write the equation of a line with a slope of −2 and a y-intercept of 5.
9514 1404 393
Answer:
y = -2x +5
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx + b . . . . . . . . . line with slope m and y-intercept b
You want a line with slope -2 and y-intercept 5, so your equation is ...
y = -2x + 5
how many solution does this equation have 17+4h+2=19−5h+9h?
Answer:
h=0
Step-by-step explanation:
if you plug it it works
Answer:
The input is an identity, it is true for all values.
Step-by-step explanation:
17 + 4h + 2 = 19 - 5h + 9h
19 + 4h = 19 - 5h + 9h
19 + 4h = 19 + 4h
19 - 19 + 4h = 19 - 19 + 4h
4h = 4h
4h ÷ 4 = 4h ÷ 4
h = h
The input is an identity, it is true for all values.
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
9514 1404 393
Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = - ⅔ x + 3. (10 points)
A. y = 3 over 2x − 3
B. y = 3 over 2x + 3
C. y = -2 over 3 x + 23 over 3
D. y = -2 over 3 x - 23 over 3
Answer:
below
Step-by-step explanation:
that is the procedure above
Question 11
Find the volume.
Answer:
volume of the cube=15×15×15
=3375 in³
volume of the cylinder=πr²h
=π×7²×14
=686π
volume of the figure=3375+686π
the answer is first option
Explain how to do this and provide with an answer.
Answer:
V=480m^2
Step-by-step explanation:
Find the quotient for 12 2/5 ÷ 1/4
ASAP Pls!!!
Answer:
[tex]49\frac{3}{5}[/tex]
Step-by-step explanation:
Answer:
49 3/5
Step-by-step explanation:
First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.
Hope this helps
a.-2
b.2
c.1
d.-1
e.-6
plz help being timed will mark brainliest
Answer:
-2 and -1
Step-by-step explanation:
The range would be inside the red half circle and since it is below the horizontal middle line, it is negative. Both -1 and -2 are in the range of the red half circle, both of them are the answer
if 4+1=17
5+2=27
6+3=42
8+4=88
then 9+5=?
Answer:
127
Step-by-step explanation:
by............doing this .
(05.06 MC)
Choose the function to match the graph.
-6
5
3
3
2.
1
-2
0
2.
3
4
5
6
-1
-21
9514 1404 393
Answer:
(b) f(x) = log(x) +4
Step-by-step explanation:
The x-intercept of any log function is (1, 0). The graph here has been shifted 4 units up from that, so is a graph of ...
f(x) = log(x) +4
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answer:
-2 and 0
Step-by-step explanation:
EZ
The medians of a triangle intersect at a point called the
A) centroid.
B) incenter.
C) midpoint.
D) median.
Answer:
Centroid
Step-by-step explanation:
A triangle only has three medians, which intersect at the centroid. A triangle also only has three vertices, which follows the three medians.
At a new school there are 2 teachers of every 15 students. If the school has 42 teachers, how Many students are there in the school?
Answer:
proportion
Step-by-step explanation:
2----> 15
42--->x
x=(42*15)/2
x= 21 *15.
x= 315
therefore there are 315 students in the school
An earthquake with a rating of 6.5 is
considered a major earthquake that can
cause damage over a large area.
Answer:
it is not considered a major earthquake, for it to be considered a major earthquake it has to have a rating of 8.0 or higher
What is the nearest quarter hour to 12.09
Answer:
I think 12:00
Step-by-step explanation:
please thank my answer
Answer:
I think 12:15
there only 6 minutes to 12:15. But at 12:00 there are 9 minutes
HELP?!?
Write the prime factorization for these numbers
1. 235
2. 460
3. 582
4. 297
5. 777
6. 624
Step-by-step explanation:
hear is answer in attachment
Answer:
1. 5 x 47 show tree of 5 x 47 and then stop both are pf
2. 2^2 × 5 × 23 show tree of 10 x 46 and then 2 x 5 (under10) and 2x23 (under 46) and then stop 2,2,5,23 are all pf
3. 2 x 3 x 97 show tree 3 x 194 and 2 x 97 and circle pf 2,3,97
4. 3^3 x 11 show tree of 3 x 99 then 3 x 33 then 3 x 11 to show 3,3,3,11 as pf
5. 3 x 7 x 37 show tree as 777/7 = 111/37 = 3 to show 3,7,37 as pf
6. 2^4 x 3 x 13 show tree as 2 x 312 2 x 156 2 x 78 2 x 39 3 x 13 to show 2,2,2,2,3,13 all as pf
Step-by-step explanation:
Please help me i need help
Answer:
H
E
A
R
T
S
Step-by-step explanation:
easy
According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)
Answer:
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What is the probability that a household in Maryland has an annual income of X or more?
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
How do you do?????????
Answer:
Where is the full questions?
Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed?
What is 2 to the power of four thirds equal to?
cube root of 8
square root of 8
cube root of 16
square root of 16
NO LINKS
Answer:
This is the cube root of 16
Step-by-step explanation:
2 ^ (4/3)
2^4 = 16
16 ^(1/3)
This is the cube root of 16
Answer:
This is the cube root of 16
Step-by-step explanation:
Mary has three baking pans. Each pan is 8" × 8" × 3". Which expression will give her the total volume of the pans?
Answer: An expression [tex]3 \times (8 \times 8 \times 3)[/tex] will give her the total volume of the pans.
Step-by-step explanation:
Given: Length = 8 inch
Width = 8 inch
Height = 8 inch
Formula to calculate the volume of rectangular pans is as follows.
[tex]Volume = length \times width \times height\\[/tex]
Substitute the values into above formula as follows.
[tex]Volume = length \times width \times height\\= 8 \times 8 \times 3 in^{3}\\= 192 in^{3}[/tex]
Therefore, volume of each pan is 192 cubic inch. As there are three baking pans so total volume of the pans is as follows.
[tex]3 \times 192 in^{3}\\= 576 in^{3}[/tex]
Thus, we can conclude that an expression [tex]3 \times (8 \times 8 \times 3)[/tex] will give her the total volume of the pans.
Csikszentmihalyi & Figurski (1982) conducted a study to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves). They gave people beepers and asked them to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that:
Answer:
We think about ourselves way less than we think 8% of the time.
Step-by-step explanation:
In a self-awareness: introspection research study conducted by Mihaly Csikszentmihalyi and Thomas Figurski in 1982, to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves).
The research involved an arrangement where participants were given beepers and asked to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that "We think about ourselves way less than we think 8% of the time."
