For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
a Runway is 3100 ft long and 65 ft wide what is the area of the runway in feet squared
Answer:
201, 500ft²
Step-by-step explanation:
The formula for calculating area in this case is;
A = w × l
This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).
(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)
So the equation you need to do is;
3,100 × 65 = 201, 500.
Add on the units, and there's your answer;
201, 600ft²
Hope this helped!
Which of the following is a testable hypothesis? A. Garden plants grow better in wet soil than in dry soil. B. Cats have a completely different personality in comparison to dogs. C. Classical music is better than jazz because stringed instruments, like violins, are used. D. After a long discussion, the people at the meeting finally agreed that it was time for lunch.
Answer:
A. Garden plants grow better in wet soil than in dry soil.
Step-by-step explanation:
A testable hypothesis is theory that can actually be proven by facts rather than opinions
What is the  property 7x<42
Answer: division
x = 6
Step-by-step explanation:
Simplifying
7x = 42
Solving
7x = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '7'.
x = 6
Simplifying
x = 6
Answer:6
Step-by-step explanation:
Convert the fraction 19/20 into a decimal
Step-by-step explanation:
19/20 in decimal form is 0.95
Answer:
0.95
Step-by-step explanation:
19 ÷ 20
Divide.
= 0.95
Which step is wrong??
Answer:
step 1 is wrong because when an absolute opens there are two possibilities of solutions and there will be sign ±
Step-by-step explanation:
i hope this will help you :)
the volume of a cube depends on the length of its sides. this can be written in function notation as v(s). What is the best interpritation of v(3) = 27? A. A cube with the volume of 3 cubic feet has side lengths of 27 feet. B. 3 sides of the cube have a total length of 27 feet. C. 3 of these cubes will have a total volume of 27 cubic feet. D. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
Answer:
D
Step-by-step explanation:
V(3)=27 means all sides equal to 3
volum e of a cube=(a)^3=(3)^3=27
Which step should be completed first in the following problem 10 (8x 15 - 7 - 4 x3)?
HURRY I NEED HELP ASAP 30 POINTS Beginning at the origin, how far do you travel along the x-axis when plotting the point below? (15,5)
Answer:
You travel 15 units of distance along the x-axis
Step-by-step explanation:
You want the distance from (0, 0) to (15, 5) in the x-axis. It is 15. If the question were the distance between the two points, you may use the distance formula or pythagorean theorem.
What is the equation of the function that is graphed as line a?
Answer:
C is yo answer of y=3x-1
Step-by-step explanation:
the y intercept is -1 and yo slope is 3. you could see yo line goin up by three and to tha right by 1
Hey guys help me find x and measure of angle pleasee
Answer:
95 degrees
Step-by-step explanation:
Since the sum of the angles in a quadrilateral must add up to 360 degrees:
95+85+Z+85=360
Z+265=360
Z=95 degrees
Hope this helps!
Answer:
Z = 95°
Step-by-step explanation:
if W = Y => X = Z => Z = 95°
can someone help me find all the angels ):
Answer:
I know you don't need help anymore so ya
What fraction of the students are girls give your answer in its simplest form
Answer:
45% of students are female or 15/32
Step-by-step explanation:
We find out their is 72 Boys and 60 Girls
We add both together to get 132 Students
Then we divide to get our number/fraction
60/132 = 15/32 or 45%
MARK AS BRAINLIEST
What is the result of subtracting the second equation from the first?
-4x - 2y = -2
x - 2y = 9
Answer:
-5x + 0y = -11
The y terms are eliminated
Step-by-step explanation:
- 4x – 2y = -2
X - 2y = 9
We want to subtract the second equation from the first
Distribute a minus sign to all the terms in the second equation
- 4x – 2y = -2
X - 2y = 9
= (-5x + 0y = -11)
The ratio of girls to boys at a local elementary school is 3:4.
a. If there are a total of 45 girls in the school, how many boys are there?
b. At another school across town, the ratio of girls to boys is 5:7. How many total
students are there in the school if there are 95 girls at that ratio?
Answer:
a. 60 boys
b. 228 total students
Step-by-step explanation:
a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.
3 * 15 = 45
4 * 15 = 60
45:60 = 3:4
——————————
b. First we need to find out how many boys there are.
95 / 5 = 19
19 * 7 = 133
So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.
133 + 95 = 228
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β
Answer:
Pretty easy (if you know geometry)!
Step-by-step explanation:
First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).
Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.
Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:
[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]
So, solving:
[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]
So there you go! Hope this helps!
which ordered pair is a solution of the equation -3x-7y=37
Answer:
x = 4
y = -7
Step-by-step explanation:
-3(4)-7(-7)=37
-12- -49 =37
-12+49 =37
Answer:
(-3,-4)
Step-by-step explanation:
screenshot below for proof :)
the ratio of the volumes of two similar solid polyhedra is equal to the square root of the ratios between their edges. True or False?
Answer:
False
Step-by-step explanation:
Did the quiz
Answer:
false
Step-by-step explanation:
The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectangle.
Answer:
16m and 12m
Step-by-step explanation:
2x + 2(x - 4) = 56
4x = 64
x = 16
Sides are 16 m and 12 m
select the reason why these triangles are similar. if they are not select not similar
Answer:
B. SAS
Step-by-step explanation:
Ratio of sides equal:
4/2= 6/3So the 2 sides are congruent and also share same angle between.
B. SAS is the similarity reasonAnswer:
B no is correct answer.
4c- 3 = x+15 pls help!!
Answer:
x = 4c - 18
Step-by-step explanation:
=> 4c-3 = x+ 15
Subtracting 15 to both sides
=> x = 4c-3-15
=> x = 4c - 18
Answer:
x=6
Step-by-step explanation:
4x- 3 = x+15
-1x -1x
3x- 3=15
+3 +3
3x=18
÷3 ÷3
x=6
Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?
Answer:
150 steps
Step-by-step explanation:
let the number of steps=x
time taken to go up=1/3×x=x/3 s
time taken to go down =1/2×x=x/2 s
now
[tex]\frac{x}{2} -\frac{x}{3} =25\\multiply ~by~6\\3x-2x=25 \times 6\\x=150[/tex]
Pls I need help with this question..Thanks
Answer:
60cm
Step-by-step explanation:
1:50 means every foot is 50 feet.
So I would think the ship hes making will be 2 feet long.
Every foot is equal to 0.3m which is equal to 30cm
Every foot is equal to 30cm
2 x 30cm = 60cm
30m + 45m = 150 pls help!
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m = 150
m = 150/75
m =2
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m =150
÷75 ÷75
m = 2
IMPORTANT! Please do....needed badly.
Answer: line r and line s
Step-by-step explanation:
m angle 3=76
So m angle 4=180-76=114
m angle 4=m angle 8=114
line r and line s r parallel
Driving on the highway, you can safely drive 65 miles per hour. Which of the following functions could be used to find how far you can drive in 'h' hours?
a. D = 65h
b. D = 65 + h
c. D = 65/h
d. D = h/65
Answer:
The answer is A, D=65h
Step-by-step explanation:
This is because D is representing how far you drove, so you can only drive 65 mph. And that will be 65*h=D. Hope this helps!
The solution is Option A.
The distance traveled is calculated by Distance D = 65h , where h is the number of hours
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the distance traveled be represented as D
Now , the value of D will be
Let the speed be represented as S = 65 miles per hour
Let the time required to travel a distance of D be represented as = h
where h is the number of hours
So , the distance D is calculated from the formula
Speed = Distance traveled / Time required
Substituting the values in the equation , we get
65 = D / h
Multiply by h on both sides of the equation , we get
D = 65h
Therefore , the value of D is 65h
Hence , the equation will be D = 65h where h is the number of hours and D is the total distance
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ5
Help me please this is an assignment due today please help me? 20 – 23 ÷ 4 • 2 + 2
Answer:
10.5
Step-by-step explanation:
20 – 23 ÷ 4 • 2 + 2
(3) (1) (2) (4)
(1) 23: 4 = 5.75
(2) 5.75*2 = 11.5
(3) 20 - 11.5 = 8.5
(4) 8.5 + 2 = 10.5
Step-by-step explanation:
20-(23/4)×2+2
=20-(5.75×2)+2
=20-11.5+2
=8.5+2
=10.5
In the circle below, O is the center and mJL = 55°. What is the measure of the central angle JOI?
Answer: 55 degrees
By definition of how the term "central angle" is defined, it is simply equal to the arc measure it cuts off. The central angle JOI subtends or cuts off the minor arc JI which is 55 degrees, so the central angle is also this measure as well.
Put another way, minor arc JI is 55 degrees of a full 360 degree rotation, and so is the angle JOI.
Please help I need it
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
so
just consider the lengh:
[tex] \frac{1}{3} [/tex]
or the width :
[tex] \frac{3}{9} [/tex]
or the area:
[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]
Valerie ran Three and one-fourth laps yesterday, and her coach wants her to run Two and one-half times that many laps today. How many laps will she need to run today? Choose the expression needed to solve the problem. Thirteen-fourths × Five-halves Thirteen-fourths × Two-fifths Four-thirteenths × Five-halves Four-thirteenths × Two-fifths
Answer:
13/4 * 5/2
Step-by-step explanation:
In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.
Shayma pays £240 per week in rent. Her Landlord decides to decrease it by 2.5%. How much rent does she pay now?
Answer:
£ 234solution,
Shayma pays £240 per week in rent.
Landlord decreases rent by 2.5%
as 2.5% =2.5/100=0.025
So, decrease in rent;
[tex]240 \times 0.025 \\ = 6[/tex]
Current rent:
240-6£ 234Hope this helps...
Good luck on your assignment..