Answer:
Blank 1: 64° (or 32°, depending on what the label applies to)
Blank 2: 42
Step-by-step explanation:
It is a common mistake to believe you have solved the problem when you have found the value of the variable(s) in the problem. You have correctly found the values of n (42) and m (9). However, that is not what the problem is asking for.
We cannot tell if the value (1/2n+11)° is referring to angle DAB, or to angle CAB. In any event, (1/2n+11)° = (1/2×42 +11)° = 32°.
If that is angle CAB, then angle DAB is twice that value, 64°.
If that is angle DAB, then angle DAB is 32°.
__
The side length CD is the same as any other side length in a rhombus, so ...
CD = 4m+6 = 4×9 +6
CD = 42 . . . . units
What does the degree of the polynomial tell you.
A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.
Gigi graphs the parabola (x+1)2=2(y−3).
How does she proceed?
Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.
After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:
Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].
Since Gigi's parabola has the x-term squared, then the parabola has the general formula
[tex](x-h)^2=4p(y-k)[/tex]
So,
[tex]x-h=x+1 \implies h=-1[/tex]
[tex]y-k=y-3\implies k=3[/tex]
The vertex is
[tex](h,k)=(-1,3)[/tex]
The focus is
[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]
The directrix is
[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]
The other values can be computed as follows;
Direction the parabola opens: Since the value of p is positive, the parabola opens up.
Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is
[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]
Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be
[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]
Learn more about conic sections here: https://brainly.com/question/12854078
Answer:
I took the quiz.
Step-by-step explanation:
One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.
Together, the boxes weigh 48 pounds.
If w represents the weight of the first box placed on the scale, write a problem ?
Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.
The second box weigh 10 pounds less than the first box. Hence:
y = w - 10
-w + y = -10 (1)
The two boxes weigh 48 pounds. hence:
w + y = 48 (2)
Solving both equations gives:
w = 29, y = 19
The first box weighs 29 pounds while the second box weighs 19 pounds.
Find out more at: https://brainly.com/question/21105092
If the worker worked for 15.5 hours, how much money would they earn? Round to the nearest
hundredth.
$135.63 or Choice B
Step-by-step explanation:
If the worker works for 15.5 hours and earns $8.75 per hour, you would multiply 15.5 and 8.75, you get 135.625. Round it to the nearest hundredth gives you the answer of $135.62
Find the perimeter. Simplify your answer.
Step-by-step explanation:
perimeter =
2(L+B)
=2× (7z+3 +3z+5)
2×10z +8
=20z+16
Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?
I just woke up i need help ;-;
Answer:
i think that the correct answer is 7/12
What is the slope for this table?
Answer:
-1/2
Step-by-step explanation:
take two points and apply
(8-7)/(0-2)=1/-2=-1/2
Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
Done
2/3 subtracted from 1/2
Answer:
-1/6
Step-by-step explanation:
[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]
How to find the theoretical mean and standard deviation using central limit therom.
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1
Answer:
A. y= -x^2 + 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
1
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
4
x
y
−
2
−
3
−
1
0
0
1
1
0
2
−
3
________________________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
__________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
3
4
x
y
−
2
5
−
1
2
0
1
1
2
2
5
_________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
how can u calculate 23x4 if the 4 buton is broken?
Answer:
23x2x2
Step-by-step explanation:
Please help with this math
Answer:
676
Step-by-step explanation:
You need to find out abcde and then find out what bd is after that you must divide them both by 3
Hope that helped
mike drove 10 miles in 30 minutes, what's the average speed in miles per hour
what would be 8/1 x 1/2
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
[tex]8\times \dfrac 12 = 4[/tex]
train tickets cost $48 for adults and $32 for children there are 27 adults and 55 children on the train how much did the passengers pay to ride the train
Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..
Answer:
Each student get 3/4 cups.
Step-by-step explanation:
15÷20=0.75
turn into fraction
3/4
I answer this question before
im stuck on this problem can someone help me? (see photo)
Answer:
I'm thinking the anwer is B
Step-by-step explanation:
I remember doing this problem before :)
Geometry hw help please.
Answer:
6
Step-by-step explanation:
You can solve this using Pythagorean Theorem;
a² + b² = c²
c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.
a and b values can be the other 2 legs, doesn’t matter which one is which
we are given;
a = 8
c = 10
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64
b² = 36
√b² = √36
b = 6
Therefore the answer = 6
Hope this helps!
#20 i
Find the coordinates of the midpoint of the line segment with the endpoints R(-5, -7) and
S(2, -4)
Answer:
First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.
Step-by-step explanation:
What is a logarithm.
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Step-by-step explanation:
Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?
Answer:
10 hours
Step-by-step explanation:
let x be the total number of hours
Amazing design total charge = 45x+250
super structures total charge = 60x+100
both companies charge the same amount when both equation equals
45x+250=60x+100
60x-45x=250-100
15x=150
x=10
therefore at 10 hours both companies will charge the same amount
Wha ratio is equivalent to the ratio 6 : 12
Answer:
1:2
Step-by-step explanation:
1:2 would be a equivilant
also most simplified
Answer:
1 :2
Step-by-step explanation:
Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?
Answer:
first tell how far does Mr. Gilbert drive???
Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.
Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12
I hope this helps! :)
You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?
Solve the slope for the table.
Answer:
Slope = -3
Step-by-step explanation:
8-17/0+3=-9/3=-3 : Slope Formula
The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?
Answer:
s(c)= 4.4c
Step-by-step explanation:
There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items
190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x
Simplifying, we get that x=10x=10.
its 10
[tex]\bf 5x-6=3x-8[/tex]