Factor.

4a2−49

A. (2a+7)(2a−7)

B. 4(a−7)(a+7)

C. 4a(a−49)

D. (2a−7)2

Given:

Altitude of a triangle = 12 cm

Area of the triangle = 96 sq. cm

To find:

The base of the triangle.

Solution:

The area of a triangle is

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

Putting Area = 96 and height = 12, we get

[tex]96=\dfrac{1}{2}\times base\times 12[/tex]

[tex]96=6\times base[/tex]

Divide both sides by 6.

[tex]\dfrac{96}{6}=base[/tex]

[tex]16=base[/tex]

Therefore, the base of the triangle is 16 cm.

Answer:

13/15

Step-by-step explanation:

First convert the fractions to have a common denominator

2/5 = x/15

Cross multiply

2 × 15 = 5 × x

30 = 5x

Divide both sides by 5 to isolate the variable

30 ÷ 5 = x

6 = x

Plug x into the new fraction

6/15

Now add this to the other fraction

6/15 + 7/15

Only add the numerators. The denominators will remain the same number

6 + 7 / 15

13/15

It cannot be reduced anymore so this is simplest form

Answer:

please add me on sñap

Step-by-step explanation:

arshad2623f

Answer:

1/2

Step-by-step explanation:

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

m = 1-(-1) / 2-(-2)

m = 2/4 or 1/2

Answer:

b=5√3, c=10

Step-by-step explanation:

30-60-90 triangle

c=2a

b=a√3

Answer:

See explanation below

Step-by-step explanation:

a. One solution (p = 1/4)

b. Infinite amount of solutions (No matter what value for p is, the equation will always be 7=7)

c. One solution (p = 12)

d. No solution (No matter what value for p is, the equation will always be 3 = -1, which wouldn't work)

Answer:

B

Step-by-step explanation:

Go from left to right

Hope this help! have a Great night!

Answer:

large

Step-by-step explanation:

3.95 divided by 12 = 0.33

4.25 divided by 16 = 0.27

4.55 divided by 20 = 0.2275

the 20oz is the least unit price

Answer:

[tex] \orange{ \bold{y = \frac{3}{2}x -4 }}[/tex]

Step-by-step explanation:

Slope of line (m) = [tex] \frac{3}{2} [/tex]

Line passes through the points [tex] (2,\:-1)=(x_1, \:y_1)[/tex]

Equation of line in point slope form is given as:

[tex] y-y_1 =m(x-x_1)[/tex]

Plug the values of m, [tex] x_1\: \&\: y_1[/tex] in the above equation, we find:

[tex]y - ( - 1) = \frac{3}{2} (x - 2) \\ \\ y + 1 = \frac{3}{2}x - \frac{3}{2} \times 2 \\ \\ y + 1 = \frac{3}{2}x -3 \\ \\ y = \frac{3}{2}x -3 - 1 \\ \\ \purple{ \bold{y = \frac{3}{2}x -4 }}\\ \\ [/tex]

This is the required equation of line in slope-intercept form.

Answer:

x ≈ 49.7°

Step-by-step explanation:

Since, the given triangle is an isosceles triangle,

Two sides having measure 17 units are equal.

Opposite angles of these equal sides will be equal.

Measure of the third angle = 180° - (x + x)°

By sine rule,

[tex]\frac{\text{sinx}}{17}=\frac{\text{sin}(180-2x)}{22}[/tex]

[tex]\frac{\text{sinx}}{17}=\frac{\text{sin}(2x)}{22}[/tex] [Since, sin(180 - θ) = sinθ]

[tex]\frac{\text{sinx}}{17}=\frac{2(\text{sin}x)(\text{cos}x)}{22}[/tex]

[tex]\frac{\text{sinx}}{17}=\frac{(\text{sin}x)(\text{cos}x)}{11}[/tex]

[tex]\frac{1}{17}=\frac{(\text{cos}x)}{11}[/tex]

cos(x) = [tex]\frac{11}{17}[/tex]

x = 49.68°

x ≈ 49.7°

Answer:

90 feet

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

(f + g)(3) = f(3) + g(3)

f(3) = 3(3) - 3 = 9 - 3 = 6

g(3) = 4(3) + 5 = 12 + 5 = 17

Then

(f + g)(3) = 6 + 17 = 23

Answer:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -1, -2, -3, -4, -5 (continous stream of negitive values)

Step-by-step explanation:

Answer:

(-6,8)

Step-by-step explanation:

SANA NAKATULONG AKO

CORRECT ME IF I WRONG

Answer:

(-6, - 8)

Step-by-step explanation:

[tex]\begin{cases}y = x - 2....(1)\\ \\2x + 4 = y....(2)\end{cases} \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 2x + 4 = x - 2 \\ \\ 2x - x = - 2 - 4 \\ \\ x = - 6 \\ \\ y = - 6 - 2 \\ \\ y = - 8 \\ \\ (x \: \: y) = ( - 6 \: \: - 8)[/tex]

Answer:

I'm Pretty Sure Its 40.

Step-by-step explanation:

Answer:

CB = 20.

Step-by-step explanation:

If the triangle is Isosceles, assuming that <D = <B according to the markings, CB must be 20 since 32 is the greatest side and therefore the hypotenuse, 20 is the smaller side and therefore either opposite or adjacent. Given that two sides must be the same, since CB is opposite of angle D which is congruent to angle B, CB = side opposite of angle B = 20.

Answer:

He didn't add 13 to 26

Step-by-step explanation:

he would need to add -13+13 to get rid of it. and add 13 on the other side 13+26

He added instead of subtracting. The answer is the first.

Answer:

75

Step-by-step explanation:

The computation of the total number of cubes in box is shown below:

Given that

The probability of blue = 0.4

For red it is 0.3

And, for yellow it is 0.3

As if there is 30 blue cubes in a box

So for red it is = 30 × 0.3 ÷ 0.4 = 22.5

And, for yellow = 30 × 0.3 ÷ 0.4 = 22.5

Now the total number of cubes in a box is

= 30 + 22.5 + 22.5

= 75

Answer:

Quadratic

Step-by-step explanation:

Answer:

(2,5)

.......

......

Answer:

looks like 3 hours

Step-by-step explanation:

at 4 hours its equal

Divide the amount she sent by the percentage she sent:

28/0.20 = 140

She can send 140 in one week.

Answer:

25

Step-by-step explanation:

Every number is subtracted 25

Answer:

25

Step-by-step explanation:

Every number is 25 apart.

Answer:

[tex]3 \div 2 \times 7 \div 2 \times 4 \div 1[/tex]

[tex]21 \div 4 \times 4 \div 1[/tex]

So the correct ans. Is 21

i know its 21

i took quiz

Answer:

Step-by-step explanation:

Use the identity: a² - b² = (a + b)(a- b)

4 - 9w² = 2² - (3w²)

            = (2 + 3w)(2 - 3w)

Answer: . Hence the weight of chalk stick is 25 g

Step-by-step explanation: Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g. Hence the weight of chalk stick is 25 g

Answer:

x = 9.9

Step-by-step explanation:

This is a isosceles triangle, with sides measurements (1 , 1 , √2), and the angles being (45° - 45° - 90°). Note that the side measurements of 1 is opposite of that of a 45°, while the measurement of √2 is opposite of that of 90°.

In this case, multiply. The side measurement of 1 has 7.

1 x 7 = 7

In the same, you must multiply 7 with √2

x = 7 * √2 = 7√2.

√2 = ~1.414

7 x 1.414 = 9.898

Round to the nearest tenth:

9.898 rounded to the nearest tenth = 9.9

x = 9.9

~

Answer:

9.9 is your answer

Step-by-step explanation:

by using Pythagoras law

p²+b²=h²

7²+7²=x²

x=√{2×49)=7√2or 9.9 is your answer