9. The height of a triangle is 3 inches less than twice the length of its base. If the total area
of the triangle is 7 square inches, then find the lengths of the base and height.

Answers

Answer 1

Check the picture below.

[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]

[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]

9. The Height Of A Triangle Is 3 Inches Less Than Twice The Length Of Its Base. If The Total Areaof The

Related Questions

Does anybody know the slope for these graphs?

Answers

5. 4/3 6. Undefined 7. -1

Solve for x. Round to the nearest tenth.

Answers

Answer:

24.8

Step-by-step explanation:

Find all the square roots of 36

Answers

Hey there!

√36

= √6^2

= 6

Therefore, your answer should be: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

[tex] \sqrt{36} = ...[/tex]

[tex] = {36}^{ \frac{1}{2} } = (6 {}^{2} ) {}^{ \frac{1}{2} } [/tex]

= 6

The points (9,21) and (21,49) form a proportional relationship. Find the slope in fraction form or simplest form. Then use the slope to graph the line.

Answers

Answer:

I think it's -28/-12

Step-by-step explanation:

y-y/x-x

what is improper fraction



help me please​

Answers

An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number)

Answer:

a fraction in which the numerator is greater than the denominator, such as 5/4.

Step-by-step explanation:

A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.

Hope it helps!

Please mark me as Brainliest!

Solve three fourths times two thirds help meeeeeee

Answers

Answer:

1/2

Step-by-step explanation:

Give brainiest please

2/4 x 2/3
Ok so we times top numbers
2 x 2 which is 4
Now bottom numbers
3 x 4 = 12
So the fraction is 4/12
We need to simplify so we divide by 4
Answer : 1/3

or you could do this
2/4 x 2/3
2/4 = 1/2
So 0.5 x 2/3
Which is 1/3

I need help I been here all day trying to solve this I'm good I reading not math ​

Answers

32,760 is the answer!!

Use the clues and each of the numbers on the sign to complete the grid.

Clues

. All four numbers in a row must have a common factor greater than 1.
. Pairs of numbers in a column must have a common factor greater than 1.

Answers

Answer:

prayers lang po katapat nyan

Find the measure of

Answers

Answer:

64

Step-by-step explanation:

360-115-129=116 (the sum of exterior angles of triangle is 360)

180-116=64

Two of the angles in a triangle measure 58 degrees and 25 degrees. What must be the measure of the third angle?

Answers

97 degrees

add up the two and subtract by 180

Select the answer that describes the properties of a parallelogram.

Answers

Answer:

A is the correct answer because all sides are congurent

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Option D is the correct answer.

We have,

Parallelograms have several notable properties:

Opposite sides are parallel:

In a parallelogram, opposite sides are parallel, meaning they never intersect and have the same slope.

Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths. This property applies to both pairs of opposite sides.

Opposite angles are congruent:

The opposite angles of a parallelogram have equal measures. This property applies to both pairs of opposite angles.

- Consecutive angles are supplementary.

- Diagonals bisect each other.

- Diagonals create congruent opposite triangles.

- Diagonals create equal opposite angles.

Thus,

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ2

What is the minimum unit cost of C(x)=0.7^2-210x+27,464?

Answers

no local extrema i think?

1.
Identify the point corresponding to P.



A. P′ (−3, −1)

B. P′ (−4, 0)

C. P′ (−5, −3)

D. P′ (−2, 0)

Answers

Answer:

B. P′ (−4, 0)

Step-by-step explanation:

You can look at the graph. The X-axis always goes first. SO -4 is first because it's on the x-axis. ANSWER= (-4, 0)

A teacher always arranged the content of his lessons as teaching and practicing learnt skills in the ratio 3: 2 If a lesson lasted for 45 minutes. How much teaching would he do?


HELP PLSSS !!!

Answers

Answer:

27 minutes

Step-by-step explanation:

3 + 2 = 5

45 / 5 = 9

3 * 9 : 2 * 9

27 : 18

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answers

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answer:

if it has two equal sides the triangle is isosceles by definition

Definition of

Isosceles Triangle

A triangle with two equal sides.

The angles opposite the equal sides are also equal.

Plane B is flying 55mph
55

mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.

Answers

Answer:

It takes around 5s for each plane to travel their respective distances.

Step-by-step explanation:

It takes 5s to each plane to travel

-4/15x =1.44 Enter your answer as a mixed number in simplest form.

Answers

Answer:

[tex]\frac{ - 4}{15x} = 1.44 \\ - 4 = 15x \times 1.44 \\ 15x = \frac{1.44}{ - 4} \\ 15x = \frac{144}{ - 4 \times 100} \\ 15x = 0.36 \\ x = \frac{36}{100 \times 15 } \\ x = 0.024[/tex]

Answer:

-5 2/5

Step-by-step explanation:

i took the test from k12

g Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2

Answers

answer:

1

Step-by-step explanation:

#'s between zero and two = one

the only number between 0 and two is 1

x = 1  y = 1  z = 1

the average value of the sum of the squares of x, y and z = 1

1, 1, 1

the average is 1

BRAINLIEST!!!!!!!!!!!!!


What is the value of tan A?

○ 6/8

○ 8/6

○ 6/10

Answers

6/8

This is because tan is opposite over adjacent

6 is opp of A, and 8 is adjacent A
The value of tan is 6/8

Due Tomorrow: Answer question 18 using steps

Answers

[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]

[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]

[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]

[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]

Now

[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]

[tex]\\ \sf\longmapsto AC^2=49+81[/tex]

[tex]\\ \sf\longmapsto AC^2=130[/tex]

[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]

which function is represented by the graph?

Answers

Answer:

[tex]y=-\sqrt{x+2}-1[/tex]

Step-by-step explanation:

Hi there!

Please take a look at the attached image. This is the parent function of the radical function.

[tex]y=\sqrt{x}[/tex]

This equation represents the transformations of the parent function:

[tex]y=a\sqrt{b(x-h)}+k[/tex]

a dictates vertical stretch.

b dictates horizontal stretch.

h dictates horizontal translation.

k dictates vertical translation.

If we take a look at the given graph, we can tell that the following transformations have been applied:

- reflection across x-axis (a = -1)

- translation 2 units to the left (h = -2)

- translation 1 unit down (k = -1)

Therefore, the function that represents the graph is:

[tex]y=-\sqrt{x+2}-1[/tex]

I hope this helps!

g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?

Answers

By definition of the [tex]\ell_p[/tex] norm,

[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]

[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]

[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]

and so x and y are closest together with p = infinity and furthest apart with p = 1.

13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.

Answers

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph

Answers

Answer:

4mph

Step-by-step explanation:

HEY IF YOURE SEEING THIS IM IN DIRE NEED OF YOU SOLVING NUMBER 4!!

Answers

Answer:

(1, -3) (2, -1) (3, 1)

Step-by-step explanation:

if seconds=x and degrees celsius=y, the points are (1, -3) (2, -1) (3, 1). to graph, plot the points on a graph. (ordered pairs are written as x,y)

answerrrrrrrrrrrr plssssssssssssssssssssssssssssssss

Answers

They think I’m too young to love you I don’t know what I need

Please answer soon 15 points try to include explanation

Answers

Answer:

36 units

Step-by-step explanation:

The segment joining the midpoints of two sides of a triangle is half the length of the third side, then

AC = 2 × 7 = 14

BC = 2 × 5 = 10

AB = 2 × 6 = 12

perimeter of Δ ABC = 14 + 10 + 12 = 36

Select the values that make the inequality u≥ -7 true.

Answers

Answer:

Well u could be -7 or anything higher than that.

Cómo se mide la velocidad

Answers

Answer:

d wound be the only answer I think

what is the amount if local tax withheld on this W-2

A) $2294
B) $2340
C) $256
D) 4599

Answers

Step-by-step explanation:

the local tax is B) $2340 thats what i got

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